ORIGINAL_ARTICLE
A New Adaptive Extended Kalman Filter for a Class of Nonlinear Systems
This paper proposes a new adaptive extended Kalman filter (AEKF) for a class of nonlinear systems perturbed by noise which is not necessarily additive. The proposed filter is adaptive against the uncertainty in the process and measurement noise covariances. This is accomplished by deriving two recursive updating rules for the noise covariances, these rules are easy to implement and reduce the number of noise parameters that need to be tuned in the extended Kalman filter (EKF). Furthermore, the AEKF updates the noise covariances to enhance filter stability. Most importantly, in the worst case, the AEKF converges to the conventional EKF. The AEKF performance is determined based on the mean square error (MSE) performance measure and the stability is proven. The results illustrate that the proposed AEKF has a dramatic improved performance over the conventional EKF, the estimates are more stable with less noise.
https://jacm.scu.ac.ir/article_14168_e990e2fdd74ab774010b5ce26200710c.pdf
2020-01-01
1
12
10.22055/jacm.2019.28130.1455
Extended Kalman filer
Aadaptive extended Kalman filter
Covariance matching
Quaternion
Iyad
Hashlamon
iyad@ppu.edu
1
Department of Mechanical Engineering, Palestine Polytechnic University, Hebron, Palestine
LEAD_AUTHOR
[1] Z. Zhou, J. Wu, Y. Li, C. Fu, and H. Fourati, Critical issues on Kalman filter with colored and correlated system noises, Asian Journal of Control, 19(6), 2017, 1905-1919.
1
[2] C. Fraser and S. Ulrich, An Adaptive Kalman Filter for Spacecraft Formation Navigation using Maximum Likelihood Estimation with Intrinsic Smoothing, in 2018 Annual American Control Conference (ACC), 2018, 5843-5848.
2
[3] X. Tong, Z. Li, G. Han, N. Liu, Y. Su, J. Ning, et al., Adaptive EKF Based on HMM Recognizer for Attitude Estimation Using MEMS MARG Sensors, IEEE Sensors Journal, 18(8), 2018, 3299-3310.
3
[4] Y. Xi, X. Zhang, Z. Li, X. Zeng, X. Tang, Y. Cui, et al., Double-ended travelling-wave fault location based on residual analysis using an adaptive EKF, IET Signal Processing, 12(8), 2018, 1000-1008.
4
[5] M. S. Grewal and A. P. Andrews, Kalman Filtering: Theory and Practice Using MATLAB, 2nd ed., John Wiley & Sons. New York, USA, 2001.
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[6] S. Ulrich and J. Z. Sasiadek, Extended Kalman filtering for flexible joint space robot control, in American Control Conference (ACC), 2011, 1021-1026.
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[7] V. A. Bavdekar, A. P. Deshpande, and S. C. Patwardhan, Identification of process and measurement noise covariance for state and parameter estimation using extended Kalman filter, Journal of Process Control, 21(4), 2011, 585-601.
7
[8] R. Jassemi-Zargani and D. Necsulescu, Extended Kalman filter-based sensor fusion for operational space control of a robot arm, IEEE Transactions on Instrumentation and Measurement, 51(6), 2002, 1279-1282.
8
[9] E. Hedberg, J. Norén, M. Norrlöf, and S. Gunnarsson, Industrial Robot Tool Position Estimation using Inertial Measurements in a Complementary Filter and an EKF, IFAC-PapersOnLine, 50(1), 2017, 12748-12752.
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[10] U. Bussi, V. Mazzone, and D. Oliva, Control strategies analysis using EKF applied to a mobile robot, in Workshop on Information Processing and Control (RPIC), 2017, 1-6.
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[11] Y. Xu, Y. S. Shmaliy, C. K. Ahn, G. Tian, and X. Chen, Robust and accurate UWB-based indoor robot localisation using integrated EKF/EFIR filtering, IET Radar, Sonar & Navigation, 12(7), 2018, 750-756.
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[36] L. Yinan, Research on Joint Orientation Algorithm of Multi Sensor and Distributed Localization based on Quaternion EKF, Revista de la Facultad de Ingeniería, 32(12), 2017, 341-347.
36
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37
[38] I. Hashlamon and K. Erbatur, Experimental verification of an orientation estimation technique for autonomous robotic platforms, Master Thesis, Sabanci University, Istanbul, 2010.
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46
[47] I. Hashlamon, A constrained quaternion extended Kalman filter, in Sixth Palestinian Conference on Modern Trends in Mathematics and Physics, Palestine, 2018.
47
ORIGINAL_ARTICLE
Sequential Implicit Numerical Scheme for Pollutant and Heat Transport in a Plane-Poiseuille Flow
A sequential implicit numerical scheme is proposed for a system of partial differential equations defining the transport of heat and mass in the channel flow of a variable-viscosity fluid. By adopting the backward difference scheme for time derivative and the central difference scheme for the spatial derivatives, an implicit finite difference scheme is formulated. The variable-coefficient diffusive term in each equation is first expanded by differentiation. The next step of the sequential approach consists of providing a solution of the temperature and concentration, before providing a solution for the velocity. To verify the numerical scheme, the results are compared with those of a Matlab solver and a good agreement are found. We further conduct a numerical convergence analysis and found that the method is convergent. The numerical results are investigated against the model equations by studying the time evolution of the flow fields and found that the data, such as the boundary conditions, are perfectly verified. We then study the effects of the flow parameters on the flow fields. The results show that the Solutal and thermal Grashof numbers, as well as the pressure gradient parameter, increase the flow, while the Prandtl number and the pollutant injection parameter both decrease the flow. The conclusion of the study is that the sequential scheme has high numerical accuracy and convergent, while a change in the pollutant concentration leads to a small change in the flow velocity due to the opposing effects of viscosity and momentum source.
https://jacm.scu.ac.ir/article_14258_da880c1645cb6f3672a6974741361602.pdf
2020-01-01
13
25
10.22055/jacm.2019.27482.1407
Finite difference methods
Fluid flows
Sequential implicit method
Pollutant dispersion
Experimental order of convergence
Chinedu
Nwaigwe
nwaigwe.chinedu@ust.edu.ng
1
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria
LEAD_AUTHOR
[1] G.V. Ramana Reddy, N. Bhaskar Reddy, R.S.R. Gorla, Radiation and chemical reaction effects on mhd flow along a moving vertical porous plate. International Journal of Applied Mechanics and Engineering, 21(1), 2016, 157–168.
1
[2] T. Chinyoka, O.D., Makinde, Analysis of nonlinear dispersion of a pollutant ejected by an external source into a channel flow. Mathematical Problems in Engineering, 2010, Article ID 827363, 17 p.
2
[3] O.D. Makinde, T. Chinyoka, Numerical investigation of transient heat transfers to hydromagnetic channel flow with radiative heat and convective cooling. Communications in Nonlinear Science and Numerical Simulation, 15(12), 2010, 3919–3930.
3
[4] J.C. Umavathi, M.A. Sheremet, S. Mohiuddin, Combined effect of variable viscosity and thermal conductivity on mixed convection flow of a viscous fluid in a vertical channel in the presence of first order chemical reaction. European Journal of Mechanics-B/Fluids, 58, 2016, 98–108.
4
[5] J.C. Umavathi, J.P. Kumar, M.A. Sheremet, Heat and mass transfer in a vertical double passage channel filled with electrically conducting fluid. Physica A: Statistical Mechanics and its Applications, 465, 2017, 195–216.
5
[6] R. Bhargava, R. Sharma, O.A. Beg, Oscillatory chemically-reacting mhd free convection heat and mass transfer in a porous medium with soret and dufour effects - finite element modelling. International Journal of Applied Mathematics and Mechanics, 5(6), 2009, 15–37.
6
[7] P. Mebine, Radiation effects on mhd couette flow with heat transfer between two parallel plates. Journal of Pure Applied Mathematics, 3(2), 2007, 191–202.
7
[8] C. Israel-Cookey, E. Amos, C. Nwaigwe, Mhd oscillatory couette flow of a radiating viscous fluid in a porous medium with periodic wall temperature. American Journal of Scientific and Industrial Research, 1(2), 2010, 326–331.
8
[9] C. Israel-Cookey, C. Nwaigwe, Unsteady mhd flow of a radiating fluid over a moving heated porous plate with time-dependent suction. American Journal of Scientific and Industrial Research, 1(1), 2010, 88–95.
9
[10] C. Nwaigwe, Mathematical modelling of ground temperature with suction velocity and radiation. American Journal of Scientific and Industrial Research, 1(2), 2010, 238–241.
10
[11] R.K. Selvi, R. Muthuraj, Mhd oscillatory flow of a jeffrey fluid in a vertical porous channel with viscous dissipation. Ain Shams Engineering Journal, 9(4), 2018, 2503-2516.
11
[12] T. Hayat, M. Mustafa, S. Asghar, Unsteady flow with heat and mass transfer of third grade fluid over a stretching surface in the presence of chemical reaction. Nonlinear Analysis, Real World Application, 11, 2010, 3186– 3197.
12
[13] K. Kavita, P.K., Ramakrishna, K.B., Aruna, Influence of heat transfer on mhd oscillatory flow of jeffrey fluid in a channel. Advanced Applied Scientific Research, 3, 2012, 2312–2325.
13
[14] R. Muthuraj, S. Srinivas, A.K. Shukla, T.R. Ramamohan, Effects of thermal-diffusion, diffusion-thermo and space porosity on mhd mixed convection flow of micropolar fluid in a vertical channel with viscous dissipation. Asian Research, 43, 2014, 561–578.
14
[15] J.K. Singh, N. Joshi, S.G. Begum, Unsteady hydromagnetic heat and mass transfer natural convection flow past an exponentially accelerated vertical plate with hall current and rotation in the presence of thermal and mass diffusions. Frontiers in Heat and Mass Transfer, 7(24), 2016, 1-12.
15
[16] J.C. Umavathi, M.A. Sheremet, Mixed convection flow of an electrically conducting fluid in a vertical channel using robin boundary conditions with heat source/sink. European Journal of Mechanics-B/Fluids, 55, 2016, 132–145.
16
[17] S.M. Ibrahim, G. Lorenzini, P.V. Kumar, C.S.K. Raju, Influence of chemical reaction and heat source on dissipative mhd mixed convection flow of a casson nanofluid over a nonlinear permeable stretching sheet. International Journal of Heat and Mass Transfer, 111, 2017, 346–355.
17
[18] L.N. Moresi, V.S. Solomatov, Numerical investigation of 2d convection with extremely large viscosity variations. Physics of Fluids, 7(9), 1995, 2154–2162.
18
[19] T. Chinyoka, O.D. Makinde, Computational dynamics of unsteady flow of a variable viscosity reactive fluid in a porous pipe. Mechanics Research Communications, 37(3), 2010, 347–353.
19
[20] J.C. Umavathi, M.A. Sheremet, Influence of temperature dependent conductivity of a nanofluid in a vertical rectangular duct. International Journal of Non-Linear Mechanics, 78, 2016, 17–28.
20
[21] O.D. Makinde, T. Chinyoka, Transient analysis of pollutant dispersion in a cylindrical pipe with a nonlinear waste discharge concentration. Computers and Mathematics with Applications, 60, 2010, 642–652.
21
[22] R.A Van Gorder, K. Makowski, K. Mallory, K. Vajravelu, Self-similar solutions for the nonlinear dispersion of a chemical pollutant into a river flow. Journal of Mathematical Chemistry, 53(7), 2015, 1523–1536.
22
[23] O.D. Makinde, R.J. Moitsheki, B.A. Tau, Similarity reductions of equations for river pollution. Applied Mathematics and Computation, 188(2), 2007, 1267–1273.
23
[24] R.J. Moitsheki, O.D. Makinde, Symmetry reductions and solutions for pollutant diffusion in a cylindrical system. Nonlinear Analysis: Real World Applications, 10(6), 2009, 3420–3427.
24
[25] O.D. Makinde, P. Olanrewaju, W.M. Charles, Unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture. Journal of African Mathematical Union, 22, 2011, 65–78.
25
[26] C. Nwaigwe, Coupling Methods for 2D/1D Shallow Water Flow Models for Flood Simulations. PhD thesis, University of Warwick, United Kingdom, 2016.
26
[27] T. Chinyoka, O.D. Makinde, Analysis of transient generalized couette flow of a reactive variable viscosity third-grade liquid with asymmetric convective cooling. Mathematical and Computer Modelling, 54(1-2), 2011, 160–174.
27
ORIGINAL_ARTICLE
Analysis of Transient Rivlin-Ericksen Fluid and Irreversibility of Exothermic Reactive Hydromagnetic Variable Viscosity
This study analyzes the unsteady Rivlin-Ericksen fluid and irreversibility of exponentially temperature dependent variable viscosity of hydromagnetic two-step exothermic chemical reactive flow along the channel axis with walls convective cooling. The non-Newtonian Hele-Shaw flow of Rivlin-Erickson fluid is driven by bimolecular chemical kinetic and unvarying pressure gradient. The reactive fluid is induced by periodic changes in magnetic field and time. The Newtons law of cooling is satisfied by the constant heat coolant convection exchange at the wall surfaces with the neighboring regime. The dimensionless non-Newtonian reactive fluid equations are numerically solved using a convergent and consistence semi-implicit finite difference technique which are confirmed stable. The response of the reactive fluid flow to variational increase in the values of some entrenched fluid parameters in the momentum and energy balance equations are obtained. A satisfying equations for the ratio of irreversibility, entropy generation and Bejan number are solved with the results presented graphically and discussed quantitatively. From the study, it was obtained that the thermal criticality conditions with the right combination of thermo-fluid parameters, the thermal runaway can be prevented. Also, the entropy generation can minimize at low dissipation rate and viscosity.
https://jacm.scu.ac.ir/article_14202_d922db66d18802c18919a43f41007e9a.pdf
2020-01-01
26
36
10.22055/jacm.2019.28216.1460
Non-Newtonian
Hydromagnetic
Convective cooling
Irreversibility
Viscosity
Rasaq
Kareem
kareem.r@mylaspotech.edu.ng
1
Department of Mathematics, Lagos State Polytechnic, Ikorodu, Nigeria
AUTHOR
Salawu
Olakunle
kunlesalawu2@gmail.com
2
Department of Mathematics, Landmark University, Omu-aran, Nigeria
LEAD_AUTHOR
Yubin
Yan
y.yan@chester.ac.uk
3
Department of Mathematics, University of Chester, Chester, UK
AUTHOR
[1] Hassan, A.R., Gbadeyan, J.A., Salawu, S.O., The effects of thermal radiation on a reactive hydromagnetic internal heat generating fluid flow through parallel porous plates. Springer Proceedings in Mathematics & Statistics, 259, 2018.
1
[2] Salawu, S.O., Fatunmbi, E.O., Inherent irreversibility of hydromagnetic third-grade reactive poiseuille flow of a variable viscosity in porous media with convective cooling. Journal of the Serbian Society for Computational Mechanics, 11, 2017, 46-58.
2
[3] Kim Y.J., Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction. International Journal of Engineering Science, 38, 2000, 833-45.
3
[4] Muthtamilselvan, M., Prakash, D., Doh, D.H., Effect of non-uniform heat generation on unsteady MHD non-Darcian flow over a vertical stretching surface with variable properties. Journal of Applied Fluid Mechanics, 7(3), 2014, 425-434.
4
[5] Ravikumar, V., Raju, M.C., Raju, G.S.S., Combined effects of heat absorption and MHD on convective Rivlin-Ericksen flow past a semi-infinite vertical porous plate with variable temperature and suction. Ain Shams Engineering Journal, 5, 2014, 867-875.
5
[6] Dada, M.S., Agunbiade, S.A., Radiation and chemical reaction effects on convective Rivlin Ericksen flow past a porous vertical plate. Ife Journal of Science, 18(3), 2016, 655-667.
6
[7] Daleep, K., Sharma, A.S., Banyal. S.K., Bounds for complex growth rate in thermosolutal convection in Rivlin–Ericksen viscoelastic fluid in a porous medium. Internationa Journal of Engineering Science and Advanced Technology, 2(6), 2012, 1564-1571.
7
[8] Noushima, H., Ramana, M.V., Reddy, C.K., Rafiuddin, M., Ramu, A., Rajender, S., Hydromagnetics free convective Rivlin–Ericksen flow through a porous medium with variable permeability. International Journal of Computational and Applied Mathematics, 5(3), 2010, 267-275.
8
[9] Rana, G.C., Thermal instability of compressible Rivlin-Efficksen rotating fluid permeated with suspended dust particles in porous medium. International Journal of Applied Mathematics and Mechanics, 8(4), 2012, 97-110.
9
[10] Sharma, R.C., Sunil, S.C., Hall effects on thermal instability of Rivlin–Ericksen fluid. Indian Journal of Pure and Applied Mathematics, 3(1), 2000, 49-59.
10
[11] Nidhish, K.M., Effect of Rivlin-Ericksen fluid on MHD fluctuating flow with heat and mass transfer through a porous medium bounded by a porous plate. International Journal of Mathematics Research, 8(3), 2016, 143-154.
11
[12] Seth, G.S., Ansari, Md.S., Nandkeolyar, R., MHD natural convection flow with radiative heat transfer past an impulsively moving plat with ramped wall temperature. Journal of Heat and Mass Transfer, 47(5), 2013, 551-561.
12
[13] Ramya, E., Muthtamilselvan, M., Doh, D.H., Absorbing/emitting radiation and slanted hydromagnetic effects on micropolar liquid containing gyrostatic microorganisms. Applied Mathematics and Computation, 324, 2018, 69-81.
13
[14] Aziz, A., Entropy generation in pressure gradient assisted Couette flow with different thermal boundary conditions. Entropy, 8(2), 2006, 50-62.
14
[15] Abu-Hijleh, B., Natural convection and entropy generation from a cylinder with high conductivity fins. Numerical Heat Transfer Part A, 39(4), 2004, 405-432.
15
[16] Ibanez, G., Cuevas, S., de Haro M.L., Minimization of entropy generation by asymmetric convective cooling. International Journal of Heat and Mass Transfer, 46(8), 2003, 1321-1328.
16
[17] Makinde, O.D., Irreversibility analysis for a gravity driven non-Newtonian liquid film along an inclined isothermal plate. Physica Scripta, 74(6), 2006, 642-645.
17
[18] Makinde, O.D., Hermite-Pade approximation approach to steady flow of a liquid film with adiabatic free surface along an inclined heat plate. Physica A, 381(1-2), 2007, 1-7.
18
[19] Salawu, S.O., Oke, I.S., Inherent irreversibility of exothermic chemical reactive third-grade poiseuille flow of a variable viscosity with convective cooling. Journal of Applied and Computational Mechanics, 4(3), 2018, 167-174.
19
[20] Tasnim S.H., Mahmud, S., Entropy generation in a vertical concentric channel with temperature dependent viscosity. International Communications in Heat and Mass Transfer, 29(7), 2017, 907-918.
20
[21] Adesanya, S.O., Makinde, O.D., Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface, Physica A, 432, 2015, 222-229.
21
[22] Makinde, O.D., Olanrewaju, P.O., Titiloye, E.O., Ogunsola A.W., On thermal stability of a two-step exothermic chemical reaction in a slab. Journal of Mathematical Sciences, 13, 2013, 1-15.
22
[23] Salawu, S.O., Ogunseye, H.A., Olanrewaju, A.M., Dynamical analysis of unsteady poiseuille flow of two-step exothermic non-Newtonian chemical reactive fluid with variable viscosity. International Journal of Mechanical Engineering and Technology, 9(12), 2018, 596-605.
23
[24] Chinyoka T., Computational dynamics of a thermally decomposable viscoelastic lubricant under shear. Journal of Fluids Engineering, 130(12), 2008, 121201(7p).
24
[25] Salawu, S.O., Oladejo, N.K., Dada, M.S., Analysis of unsteady viscous dissipative poiseuille fluid flow of two-step exothermic chemical reaction through a porous channel with convective cooling. Ain Shams Engineering Journal, doi.org/10.1016/j.asej.2018.08.006.
25
ORIGINAL_ARTICLE
Buckling and Free Vibration Analysis of Fiber Metal-laminated Plates Resting on Partial Elastic Foundation
This research presents, buckling and free vibration analysis of fiber metal-laminated (FML) plates on a total and partial elastic foundation using the generalized differential quadrature method (GDQM). The partial foundation consists of multi-section Winkler and Pasternak type elastic foundation. Taking into consideration the first-order shear deformation theory (FSDT), FML plate is modeled and its equations of motion and boundary conditions are derived using Hamilton's principle. The formulations include Heaviside function effects due to the nonhomogeneous foundation. The novelty of this study is considering the effects of partial foundation and in-plane loading, in addition to considering the various boundary conditions of FML plate. A computer program is written using the present formulation for calculating the natural frequencies and buckling loadings of composite plates without contacting with elastic foundation and composite plates resting on partial foundations. The validation is done by comparison of continuous element model with available results in the literature. The results show that the constant of total or partial spring, elastic foundation parameter, thickness ratio, frequency mode number and boundary conditions play an important role on the critical buckling load and natural frequency of the FML plate resting on partial foundation under in-plane force.
https://jacm.scu.ac.ir/article_14158_de4677dc2780817c82241b6242ca4574.pdf
2020-01-01
37
51
10.22055/jacm.2019.28156.1489
Partial elastic foundation
FML composite plate
Free vibration
Buckling
GDQ method
Horae
Moraveji Tabasi
horamoraveji1988t@gmail.com
1
University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Lavizan, Tehran, Iran
AUTHOR
Jafar
Eskandari Jam
jafar.eskandarijam@gmail.com
2
Department of Mechanical Engineering, Malek Ashtar University of Technology, Lavizan, Tehran, Iran
LEAD_AUTHOR
Keramat
Malekzadeh Fard
k.malekzdeh@gmail.com
3
Department of Mechanical Engineering, Malek Ashtar University of Technology, Lavizan, Tehran, Iran
AUTHOR
Mohsen
Heydari Beni
mohsenheydari1371@gmail.com
4
University Complex of Materials and Manufacturing Technology, Malek Ashtar University of Technology, Lavizan, Tehran, Iran
AUTHOR
[1] Winkler, E., Die Lehre von der Elasticitaet und Festigkeit: mit besonderer Rücksicht auf ihre Anwendung in der Technik für polytechnische Schulen, Bauakademien, Ingenieue, Maschinenbauer, Architecten, etc. Dominicus, 1867.
1
[2] Pasternak, P., On a new method of analysis of an elastic foundation by means of two foundation constants. Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture, Moscow, 1954.
2
[3] Timoshenko, S., Theory of Elastic Stability 2e. Tata McGraw-Hill Education, 1970.
3
[4] Vlasov, V.Z., Beams, plates and shells on elastic foundations. Israel Program for Scientific Translations, Jerusalem, 1966.
4
[5] Seide, P., Compressive buckling of a long simply supported plate on an elastic foundation, Journal of the Aeronautical Sciences, 25(6), 1958, 382-384.
5
[6] Cheung, Y., Zinkiewicz, O., Plates and tanks on elastic foundations—an application of finite element method, International Journal of Solids and Structures, 1(4), 1965, 451-461.
6
[7] Cheung, Y., Nag, D., Plates and beams on elastic foundations–linear and non-linear behaviour, Geotechnique, 18(2), 1968, 250-260.
7
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41
ORIGINAL_ARTICLE
Melting Heat Transfer Analysis on Magnetohydrodynamics Buoyancy Convection in an Enclosure: A Numerical Study
The roll of melting heat transfer on magnetohydrodynamic natural convection in a square enclosure with heating of bottom wall is examined numerically in this article. The dimensionless governing partial differential equations are transformed into vorticity and stream function formulation and then solved using the finite difference method (FDM). The effects of thermal Rayleigh number (Ra), melting parameter (M) and Hartmann number (Ha) are graphically illustrated. As melting parameter and Rayleigh number increase, the rate of fluid flow and temperature gradients also increase. And in the presence of magnetic field, the temperature gradient reduces and hence, the conduction mechanism is dominated for larger Ha. Greater heat transfer rate is observed in the case of uniform heating compared with non-uniform case. The average Nusselt number reduces with increasing magnetic parameter in the both cases of heating of bottom wall.
https://jacm.scu.ac.ir/article_14492_92cef2958c9ae22990bd1e846781b54b.pdf
2020-01-01
52
62
10.22055/jacm.2019.28761.1504
Natural convection
Square enclosure
Finite difference method
Incompressible flow
Melting heat transfer
K.
Venkatadri
venkatadri.venki@gmail.com
1
Department of Mathematics, VEMU Institute of Technology, P. Kothakota, India
AUTHOR
Shaik
Abdul Gaffar
abdulsgaffar0905@gmail.com
2
Department of Information Technology, Mathematics Section, Salalah College of Technology, Salalah, Oman
LEAD_AUTHOR
M.
Suryanarayana Reddy
abdulsgaffar143@gmail.com
3
Department of Mathematics, JNTUA College of Engineering, Pulivendula, India
AUTHOR
V.
Ramachandra Prasad
rcpmaths@gmail.com
4
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India
AUTHOR
B. Md. Hidayathulla
Khan
bmdhkh@gmail.com
5
Department of Mathematics, Sir Vishveshwaraiah Institute of Science and Technology, Madanapalle, India
AUTHOR
Osman
Anwar Beg
gortoab@gmail.com
6
Magnetohydrodynamics, Biological Propulsion and Energy Research, Aeronautical and Mechanical Engineering Division, University of Salford, M5 4WT, UK
AUTHOR
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46
ORIGINAL_ARTICLE
Nonlocal Elasticity Effect on Linear Vibration of Nano-circular Plate Using Adomian Decomposition Method
In this study, the small scale effect on the linear free-field vibration of a nano-circular plate has been investigated using nonlocal elasticity theory. The formulation is based on the classical theory and the linear strain in cylindrical coordinates. To take into account the small scale and the linear geometric effects, the governing differential equation based on the nonlocal elasticity theory was extracted from Hamilton principle while the inertial effect, as well as the shear stresses effect was ignored. Effect of nonlocal parameter is investigated by solving the governing equation using Adomian decomposition method (ADM) for the clamped and simply supported boundary conditions. By using this method, the first five axisymmetric natural frequencies and displacements of nano-circular plate are obtained one at a time and some numerical results are given to illustrate the influence of nonlocal parameters on the natural frequencies and displacements of the nano-circular plate. For the purpose of comparison, the linear equations were solved by the analytical method. Excellent agreements were observed between the two methods. This indicates that the latter method can be applied to seek the linear solution of nano-circular plates with high accuracy while simplifying the problem.
https://jacm.scu.ac.ir/article_14265_7f27907b243be39fce7ae7c332ccb509.pdf
2020-01-01
63
76
10.22055/jacm.2019.28504.1488
Linear free vibration
Nano-circular plates
Nonlocal elasticity
Adomian decomposition method
Mohammad
Shishesaz
mshishehsaz@scu.ac.ir
1
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Golestan Blvd., Ahvaz, 61357-43337, Iran
LEAD_AUTHOR
Mojtaba
Shariati
mojtaba-shariati@stu.scu.ac.ir
2
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Golestan Blvd., Ahvaz, 61357-43337, Iran
AUTHOR
Amin
Yaghootian
a.yaghootian@scu.ac.ir
3
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Golestan Blvd., Ahvaz, 61357-43337, Iran
AUTHOR
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56
ORIGINAL_ARTICLE
Exploration of the Significance of Autocatalytic Chemical Reaction and Cattaneo-Christov Heat Flux on the Dynamics of a Micropolar Fluid
During the homogeneous-heterogeneous autocatalytic chemical reaction in the dynamics of micropolar fluid, relaxation of heat transfer is inevitable; hence Cattaneo-Christov heat flux model is investigated in this report. In this study, radiative heat flux through an optically thick medium is treated as nonlinear due to the fact that thermal radiation at low heat energy is distinctly different from that of high heat energy, hence classical approach of using Taylor series for simplification is ignored and implicit differentiation is used leading to temperature parameter. Uniqueness of the present analysis is the consideration of cubic autocatalytic chemical reaction between the homogeneous bulk fluid and two species of catalyst at the wall. Application of similarity analysis enabled us to recast the flow equations into a set of coupled nonlinear ODEs. The resulting equations along with the appropriate conditions are solved computationally. Graphical illustrations of the effect of pertinent parameters on momentum, heat and mass boundary layers are presented and discussed. The concentration of the homogeneous bulk fluid with microstructures and catalyst at the surface decreases and increases with diffusion ratio, respectively. Buoyancy has a decreasing effect on temperature distribution.
https://jacm.scu.ac.ir/article_14430_5ea9bd7c0131dc20b8f953bda47600ea.pdf
2020-01-01
77
89
10.22055/jacm.2019.28742.1501
Boundary layer flow
Non-linear thermal radiation
Auto catalysis
Cattaneo-Christov heat flux
G.
Sarojamma
gsarojamma@gmail.com
1
Department of Applied Mathematics, Sri Padmavati Mahila University, Tirupati-51752, India
LEAD_AUTHOR
R.
Vijaya Lakshmi
vijayalakshmirayanki@gmail.com
2
Department of Applied Mathematics, Sri Padmavati Mahila University, Tirupati-51752, India
AUTHOR
P.V.
Satya Narayana
pvsatya8@yahoo.co.in
3
Department of Mathematics, SAS, VIT, Vellore-63, India
AUTHOR
I.L.
Animasaun
anizakph2007@gmail.com
4
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
AUTHOR
[1] Fourier, J.B.J., Theorieanalytique De La Chaleur, Paris: Chez Firmin Didot, 1822.
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[8] Khan, S.M., Hammad, M., Sunny, D.A., Chemical reaction, thermal relaxation time and internal material parameter effects on MHD viscoelastic fluid with internal structure using the Cattaneo-Christov heat flux equation. European Physical Journal Plus, 132, 2017, 1-11.
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[10] Khan, M.I., Waqas, M., Hayat, T., Khan, M.I., Alsaedi. A., Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo-Christov heat flux model. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39, 2017, 4571-4578.
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[15] Ramzan, M., Bilal, M., Chung, J.D., Effects of MHD homogeneous-heterogeneous reactions on third grade fluid with Cattaneo-Christov heat flux. Journal of Molecular Liquids, 223, 2016, 1284-1290.
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[16] Lu, D., Li, Z., Ramzan, M., Shafee, A., Jae Dong Chung, Unsteady squeezing carbon nanotubes based nano-liquid flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Applied Nanoscience, 9, 2019, 169-178.
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[17] Lu, D., Ramzan, M., Ahmad S., Chung, J.D., Farooq, U., A numerical treatment of MHD radiative flow of Micropolar nanofluid with homogeneous-heterogeneous reactions past a nonlinear stretched surface. Scientific Reports, 8, 2018, 1-17.
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[18] Lu, D., Ramzan, M., Ahmad, S., Chung, J.D., Farooq, U., Upshot of binary chemical reaction and activation energy on carbon nanotubes with Cattaneo-Christov heat flux and buoyancy effects. Physics of Fluids, 29, 2018, 123103.
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[19] Lu, D., Ramzan, M., Ullah, N., Chung, J.D., Farooq, U., A numerical treatment of radiative nanofluid 3D flow containing gyrotactic microorganism with anisotropic slip, binary chemical reaction and activation energy. Scientific Reports, 7, 2017, 17008.
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[20] Ramzan, M., Ullah, N., Chung, J.D., Lu, D., Farooq, U., Buoyancy effects on the radiative magneto Micropolar nanofluid flow with double stratification, activation energy and binary chemical reaction. Scientific Reports, 7, 2017, 12901.
20
[21] Zhang, Y., Yuan, B., Bai, Y., Cao, Y., Shen, Y., Unsteady Cattaneo-Christov double diffusion of Oldroyd-B fluid thin film with relaxation-retardation viscous dissipation and relaxation chemical reaction. Powder Technology, 338, 2018, 975-982.
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[23] Koriko, O.K., Omowaye, A.J., Sandeep, N., Animasaun, I.L., Analysis of boundary layer formed on an upper horizontal surface of a paraboloid of revolution within nanofluid flow in the presence of thermophoresis and Brownian motion of 29 nm CuO. International Journal of Mechanical Sciences, 124-125, 2017, 22-36.
23
[24] Koriko, K., Animasaun, I.L., New similarity solution of micropolar fluid flow problem over an uhspr in the presence of quartic kind of autocatalytic chemical reaction. Frontiers in Heat and Mass Transfer, 8, 2017, 1-13.
24
[25] Makinde, O.D., Animasaun, I.L., Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution. International Journal of Thermal Sciences, 109, 2016, 159-171.
25
[26] Ramzan, M., Chung, J.D., Ullah, N., Radiative Magnetohydrodynamic nanofluid flow due to gyrotactic microorganisms with chemical reaction and non-linear thermal radiation. International Journal of Mechanical Sciences, 130, 2017, 31-40.
26
[27] Hayat, T., Zubair, M., Waqas, M., Alsaedi, A., Ayub, M., On doubly stratified chemically reactive flow of Powell–Eyring liquid subject to non-Fourier heat flux theory. Results in Physics, 7, 2017, 99-106.
27
[28] Hayat, T., Kiran, A., Imtiaz, M., Alsaedi, A., Unsteady flow of carbon nanotubes with chemical reaction and Cattaneo-Christov heat flux model. Results in Physics, 7, 2017, 823-831.
28
[29] Satya Narayan, P.V., Tarakaramu, N., Makinde, O.D., Venkateswarlu, B., Sarojamma, G., MHD Stagnation Point Flow of Viscoelastic Nanofluid Past a Convectively Heated Stretching Surface. Defect Diffusion Forum, 387, 2018, 106-120.
29
[30] Sarojamma, G., Vijaya Lakshmi, R., Satya Narayana, P.V., Makinde, O.D., Non-linear radiative flow of a micropolar nano fluid through a vertical channel with porous collapsible walls. Defect Diffusion Forum, 387, 2018, 498-509.
30
[31] Vajravelu, K., Li, R., Dewasurendra, M., Benarroch, J., Ossi, N., Zhang, Y., Sammarco, M., Prasad, K.V., Analysis of MHD boundary layer flow of an Upper-Convected Maxwell fluid with homogeneous-heterogeneous chemical reactions. Communications in Numerical Analysis, 2, 2017, 202-216.
31
[32] Ramzan, M., Bilal, M., Chung, J.D., Effects of MHD homogeneous-heterogeneous reactions on third grade fluid flow with Cattaneo-Christov heat flux. Journal of Molecular Liquids, 223, 2016, 1284-1290.
32
[33] Hashim, Khan, M., On Cattaneo-Christov heat flux model for Carreau fluid flow over a slandering sheet. Results in Physics, 7, 2017, 310-319.
33
[34] Sarkar, A., Kundu, P.K., Exploring the Cattaneo-Christov heat flux phenomenon on a Maxwell-type nanofluid coexisting with homogeneous/heterogeneous reactions. European Physical Journal Plus, 132, 2017, 534.
34
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[36] Ishak, I., Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect. Meccanica, 45, 2010, 367-373.
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[37] Keimanesh, R., Aghanajafi, C., The effect of temperature dependent viscosity and thermal conductivity on micropolar fluid over a stretching sheet. Tehnickivjesnik, 24, 2017, 371-378.
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[38] Animasaun, I.L., Raju, C.S.K., Sandeep, N., Unequal diffusivities case of homogeneous-heterogeneous reactions within viscoelastic fluid flow in the presence of induced magnetic field and nonlinear thermal radiation. Alexandria Engineering Journal, 55, 2016, 1595-1606.
38
[39] Shah, N.A., Animasaun, I.L., R O Ibraheem, Babatund, H.A., Sandeep, N., Pop, I., Scrutinization of the effects of Grashof number on the flow of different fluids driven by convection over various surfaces. Journal of Molecular Liquids, 249, 2018, 980-990.
39
[40] Li, J., Zheng, L., Liu, L., MHD viscoelastic flow and heat transfer over a vertical stretching sheet with Cattaneo-Christov heat flux effects. Journal of Molecular Liquids, 221, 2016, 19-25.
40
[41] Khan, S.M., Hammad, M., Sunny, D.A., Chemical reaction, thermal relaxation time and internal material parameter effects on MHD viscoelastic fluid with internal structure using the Cattaneo-Christov heat flux equation. European Physical Journal Plus, 132, 2017, 338.
41
ORIGINAL_ARTICLE
Stress Redistribution Analysis of Piezomagnetic Rotating Thick-Walled Cylinder with Temperature-and Moisture-Dependent Material Properties
In this article, the problem of time-dependent stress redistribution of a piezomagnetic rotating thick-walled cylinder under an axisymmetric hygro-thermo-magneto-electro-mechanical loading is analyzed analytically for the condition of plane strain. Using the constitutive equations, a differential equation is found in which there are creep strains. Primarily, eliminating creep strains, an analytical solution for the primitive electric and magnetic potential in addition to stresses is obtained. Then, creep strains are kept and creep stress rates are found by utilizing Norton’s law and Prandtl-Reuss equations for steady-state hygrothermal boundary condition. Lastly, the history of stresses and radial displacement as well as magnetic and potential fields during the time is obtained using an iterative method. In the numerical examples, the effect of angular velocity, hygrothermal loading and thermal and moisture concentration dependency of elastic constants is investigated comprehensively.
https://jacm.scu.ac.ir/article_14246_d779fe8625ea0a1701f768ef1f82dbc3.pdf
2020-01-01
90
104
10.22055/jacm.2019.28245.1468
Hollow cylinder
Piezomagnetic
Hygrothermal condition
Time-dependent analysis
Mahdi
Saadatfar
m.saadatfar@gmail.com
1
Department of Mechanical Engineering, University of Qom, Qom, P.O. Box 3716146611, Iran
LEAD_AUTHOR
[1] Smittakorn, W., Heyliger, P.R., A discrete-layer model of laminated hygrothermopiezoelectric plates, Mechanics of Composite Materials and Structures, 7, 2000, 79-104.
1
[2] Raja, S., Sinha, P.K., Prathap, G., Dwarakanthan, D., Thermally induced vibration control of composite plates and shells with piezoelectric active damping, Smart Materials and Structures,13, 2004, 939-950.
2
[3] Allam, M.N.M., Zenkour, A.M., Tantawy, R., Analysis of Functionally Graded Piezoelectric Cylinders in a Hygrothermal Environment, Advances in Applied Mathematics and Mechanics, 6, 2014, 233-246.
3
[4] Saadatfar, M., Aghaie-Khafri, M., Hygrothermomagnetoelectroelastic analysis of a functionally graded magneto-electro-elastic hollow sphere resting on an elastic foundation, Smart Materials and Structures, 23, 2014, 1-13.
4
[5] Saadatfar, M., Aghaie-Khafri, M., Hygrothermal analysis of a rotating smart exponentially graded cylindrical shell with imperfect bonding supported by an elastic foundation, Aerospace Science and Technology, 43, 2015, 37-50.
5
[6] Saadatfar, M., Aghaie-Khafri, M., On the behavior of a rotating functionally graded hybrid cylindrical shell with imperfect bonding subjected to hygrothermal condition, Journal of Thermal Stresses, 38, 2015, 854-881.
6
[7] Saadatfar, M., Effect of multiphysics conditions on the behavior of an exponentially graded smart cylindrical shell with imperfect bonding, Meccanica, 50, 2015, 2135–2152.
7
[8] Zenkour, A.M., Bending analysis of piezoelectric exponentially graded fiber-reinforced composite cylinders in hygrothermal environments, International Journal of Mechanics and Materials in Design, 13, 2017, 515-529.
8
[9] Vinyas, M., Kattimani, S., Hygrothermal Analysis of Magneto-Electro-Elastic Plate using 3D Finite Element Analysis, Composite Structures, 180, 2017, 617-637.
9
[10] Hou, P.F., Leung, A.W.T., The transient responses of magneto-electro-elastic hollow cylinders. Smart Materials and Structures, 13, 2004, 762.
10
[11] Wang, H.M., Ding, H.J., Transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for a fully coupled axisymmetric plane strain problem, Acta Mechanica, 184, 2006, 137–157.
11
[12] Babaei, M.H., Chen, Z.T., Exact solutions for radially polarized and magnetized magneto electro elastic rotating cylinders, Smart Materials and Structures, 17, 2008, 025035.
12
[13] Ootao, Y., Ishihara, M., Exact Solution of Transient Thermal Stress Problem of a Multilayered Magneto-Electro-Thermoelastic Hollow Cylinder, Applied Mathematical Modelling, 5, 2011, 90-103.
13
[14] Akbarzadeh, A.H., Chen, Z.T., Magnetoelectroelastic behavior of rotating cylinders resting on an elastic foundation under hygrothermal loading, Smart Materials and Structures, 21, 2012, 125013.
14
[15] Loghman, A., Ghorbanpour Arani, A., Amir, A.S., Vajedi, A., Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal of Pressure Vessels and Piping, 87, 2011, 389-395.
15
[16] Singh, T., Gupta, V.K., Effect of anisotropy on steady state creep in functionally graded cylinder, Composite Structures, 93, 2011, 747-758.
16
[17] Sharma, S., Sahay, I., Kumar, R., Creep transition in non homogeneous thick-walled circular cylinder under internal and external pressure, Applied Mathematical Sciences, 122, 2012, 6075-6080.
17
[18] Loghman, A., Atabakhshian, V., Semi-analytical solution for time-dependent creep analysis of rotating cylinders made of anisotropic exponentially graded material (EGM), Journal of Solid Mechanics, 4, 2012, 313-326.
18
[19] Jamian, S., Sato, H., Tsukamoto, H., Watanabe, Y., Creep analysis of functionally graded material thick-walled cylinder, Applied Mechanics and Materials, 315, 2013, 867-871.
19
[20] Nejad, M.Z., Kashkoli, M.D., Time-dependent thermo-creep analysis of rotating FGM thick-walled cylindrical pressure vessels under heat flux, International Journal of Engineering Science, 82, 2014, 222–237.
20
[21] Singh, T., Gupta, V.K., Analysis of steady state creep in whisker reinforced functionally graded thick cylinder subjected to internal pressure by considering residual stress, Mechanics of Advanced Materials and Structures, 21, 2014, 384-392.
21
[22] Nejad, M.Z., Hoseini, Z., Niknejad, A., Ghannad, M., Steady-state creep deformations and stresses in FGM rotating thick cylindrical pressure vessels, Journal of Mechanics, 31, 2015, 1-6.
22
[23] Kashkoli, M.D., Tahan, K.N., Nejad, M.Z., Time-dependent thermomechanical creep behavior of FGM thick hollow cylindrical shells under non-uniform internal pressure, International Journal of Applied Mechanics, 9, 2017, 750086.
23
[24] Kashkoli, M.D., Tahan, K.N., Nejad, M.Z., Time-dependent creep analysis for life assessment of cylindrical vessels using first order shear deformation theory, Journal of Mechanics, 33, 2017, 461-474.
24
[25] Sharma, S., Yadav, S., Sharma, R., Thermal creep analysis of functionally graded thick-walled cylinder subjected to torsion and internal and external pressure, Journal of Solid Mechanics, 9, 2017, 302-318.
25
[26] Bakhshizadeh, A., Nejad, M.Z., Kashkoli, M.D., Time-Dependent Hygro-Thermal Creep Analysis of Pressurized FGM Rotating Thick Cylindrical Shells Subjected to Uniform Magnetic Field, Journal of Solid Mechanics, 9, 2017, 663-679.
26
[27] Ghorbanpour Arani, A., Kolahchi, R., Mosallaie Barzoki, A.A., Loghman, A., Time-Dependent Thermo-Electro-Mechanical Creep Behavior of Radially Polarized FGPM Rotating Cylinder, Journal of Solid Mechanics, 3, 2011, 142-157.
27
[28] Ghorbanpour Arani, A., Mosallaie Barzoki, A.A., Kolahchi, R., Mozdianfard, M.R., Loghman, A., Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder, Computers and Structures, 89, 2011, 1494–1502.
28
[29] Saadatfar, M., Aghaie-Khafri, M., On the magneto-thermo-elastic behavior of a FGM cylindrical shell with pyroelectric layers featuring interlaminar bonding imperfections rested in an elastic foundation, Journal of Solid Mechanics, 7, 2015, 344-363.
29
[30] Saadatfar, M., Razavi, A.S., Piezoelectric hollow cylinder with thermal gradient, Journal of Mechanical Science and Technology, 23, 2009, 45-53.
30
[31] Chang, W.J., Transient hygrothermal responses in a solid cylinder by linear theory of coupled heat and moisture, Applied Mathematical Modelling, 18, 1994, 467-473.
31
[32] Saadatfar, M., Aghaie-Khafri, M., Thermoelastic analysis of a rotating functionally graded cylindrical shell with functionally graded sensor and actuator layers on an elastic foundation placed in a constant magnetic field, Journal of Intelligent Materials Systems and Structures, 27, 2015, 512-527.
32
[33] Saadatfar, M., Effect of Interlaminar Weak Bonding and Constant Mag-netic Field on the Hygrothermal Stresses of a FG Hybrid Cylindrical Shell Using DQM, Journal of Stress Analysis, 3, 2018, 93-110.
33
[34] Dai, H.L., Jiang, H.J., Yang, L., Time-dependent behaviors of a FGPM hollow sphere under the coupling of multi-fields Solid State Sciences, Solid State Sciences, 14, 20112, 587-597.
34
[35] Loghman, A., Abdollahian, M., Jafarzadeh Jazi, A., Ghorbanpour Arani, A., Semi-analytical solution for electromagnetothermoelastic creep response of functionally graded piezoelectric rotating disk, International Journal of Thermal Sciences, 65, 2013, 254-266.
35
ORIGINAL_ARTICLE
The Development and Application of the RCW Method for the Solution of the Blasius Problem
In this research, a numerical algorithm is employed to investigate the classical Blasius equation which is the governing equation of boundary layer problem. The base of this algorithm is on the development of RCW (Rahmanzadeh-Cai-White) method. In fact, in the current work, an attempt is made to solve the Blasius equation by using the sum of Taylor and Fourier series. While, in the most common numerical methods, the answer is considered only as a Taylor series. It should be noted that in these algorithms which use Taylor expansion, the values of the truncation error are considerable. However, adding the Fourier series to the Taylor series leads to reduce the amount of the truncation error. Nevertheless, the results of this research show the RCW method has the ability to achieve the accuracy of analytical solution. Moreover, it is well illustrated that the accuracy of RCW method is higher than the Runge-Kutta one.
https://jacm.scu.ac.ir/article_14159_e181b2bab8b9fb5415bbd3942865e1c4.pdf
2020-01-01
105
111
10.22055/jacm.2019.28250.1469
Boundary layer
Blasius equation
Initial value problems
RCW method
Mostafa
Rahmanzadeh
rahmanzadeh.mostafa@gmail.com
1
Department of Chemical Engineering, Sirjan University of Technology, Sirjan, Iran
AUTHOR
Tahereh
Asadi
t62.asasdi@yahoo.com
2
Department of Chemical Engineering, Sirjan University of Technology, Sirjan, Iran
AUTHOR
Meysam
Atashafrooz
m.atashafrooz@sirjantech.ac.ir
3
Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
LEAD_AUTHOR
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[3] Aziz, A., A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition, Communications in Nonlinear Science Numerical Simulation, 14(4), 2009, 1064-1068.
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[4] Li, Y., Rao, Y., Wang, D., Zhang, P. and Wu, X., Heat transfer and pressure loss of turbulent flow in channels with miniature structured ribs on one wall, International Journal of Heat and Mass Transfer, 131, 2019, 584-593.
4
[5] Ushida, A., Shuichi Ogawa, S., Narumi, T., Sato, T. and Hasegawa T., Pseudo-laminarization effect of dilute and ultra-dilute polymer solutions on flows in narrow pipes, Experimental Thermal Fluid Science, 99, 2018, 233-241.
5
[6] Najafi, E., Numerical quasilinearization scheme for the integral equation form of the Blasius equation, Computational Methods for Differential Equations, 6(2), 2018, 141-156.
6
[7] Sewell, G., The numerical solution of ordinary and partial differential equations, John Wiley & Sons, New York, 2005.
7
[8] Parand, K., Dehghan, M. and Pirkhedri, A., Sinc-collocation method for solving the Blasius equation, Physics Letters A, 373(44), 2009, 4060-4065.
8
[9] Iacono, R. and Boyd, J. P., Simple analytic approximations for the Blasius problem, Physica D: Nonlinear Phenomena, 310, 2015, 72-78.
9
[10] Cortell, R., Numerical solutions of the classical Blasius flat-plate problem, Applied Mathematics and Computation, 170(1), 2005, 706-710.
10
[11] Chavaraddi, K. B. and Page, M. H., Solution of Blasius equation by adomian decomposition Mmethod and differential transform method, International Journal of Mathematics and its Applications, 55, 2018, 219–1226
11
[12] Jafarimoghaddam, A. and Aberoumand, S., Exact approximations for skin friction coefficient and convective heat transfer coefficient for a class of power law fluids flow over a semi-infinite plate: Results from similarity solutions, Engineering Science and Technology, An International Journal, 20(3), 2017, 1115-1121.
12
[13] Benlahsen, M., Guedda, M. and Kersner, R., The generalized Blasius equation revisited, Mathematical and Computer Modelling, 47(9-10), 2008, 1063-1076.
13
[14] Wang, L., A new algorithm for solving classical Blasius equation, Applied Mathematics and Computation, 157(1), 2004, 1-9.
14
[15] Munson, B. R., Okiishi, T. H., Huebsch, I. W. W., Rothmayer, A. P., Fundamentals of fluid mechanics, Wiley Singapore, 2013.
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[18] Ibáñez, J. J., Hernández, V., Ruiz, P. A. and Arias, E., A piecewise-linearized algorithm based on the Krylov subspace for solving stiff ODEs, Journal of Computational Applied Mathematics, 235(7), 2011, 1798-1804.
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[19] Brugnano, L., Magherini, C. and Mugnai, F., Blended implicit methods for the numerical solution of DAE problems, Journal of Computational Applied Mathematics, 189(1-2), 2006, 34-50.
19
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27
ORIGINAL_ARTICLE
Upgrading the Seismic Capacity of Pile-Supported Wharfs Using Semi-Active Liquid Column Gas Damper
One of the most important structures in the ports is the wharf. The most common one is the pile-supported wharf. This type of wharf is consisted of a number of piles and one deck which placed on the piles. In addition to the conventional loads that this structure should withstand, in seismic areas, pile-supported wharfs should have the necessary capacity and strength against seismic excitations. There are some approaches to increase the seismic capacity of the berth. One of these methods is to control the vibrations of the pile-supported wharf against earthquake loads using a damper. In this research, for the first time, a new semi-active damper called the semi active liquid column gas damper (SALCGD), was used to reduce the response of pile supported wharf under seismic loads. In the first step by applying different records of the earthquake, the most important parameter of this damper - the optimal opening ratio of the horizontal column- was obtained for this particular structure. In the following, the performances of this damper and its comparison with the tuned liquid column gas damper (TLCGD) were discussed. This study showed that the use of this semi-active damper (SALCGD) reduces the displacement of the pile-supported wharf by 35% and reduces the acceleration of the structure by 50% on average. In contrast, the passive damper (TLCGD) reduces the displacement of about 20 percent and the acceleration of about 30 percent. Therefore, it was observed that the semi-activation of the damper (SALCGD) had a significant improvement in its performance in controlling the vibrations of pile-supported wharf.
https://jacm.scu.ac.ir/article_14185_321839675d6b274ae851996138067046.pdf
2020-01-01
112
124
10.22055/jacm.2019.28242.1466
Pile-Supported wharf
SALCGD
Seismic capacity
Vibration control
Reza
Dezvareh
rdezvareh@nit.ac.ir
1
Assistant Professor, Faculty of Civil Engineering, Babol Noshirvani University of Technology, Shariati Av., Babol, Mazandaran, 47148 - 71167, Iran
LEAD_AUTHOR
[1] Gerolymos, N., Giannakou, A., Anastasopoulos, I. and Gazetas, G., Evidence of beneficial role of inclined piles: observations and summary of numerical analyses. Bulletin of Earthquake Engineering, 6(4), 2008, 705-722.
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[6] Tributsch, A. and Adam, C., Evaluation and analytical approximation of Tuned Mass Damper performance in an earthquake environment. Smart Structures and Systems, 10(2), 2012, 155-179.
6
[7] De Domenico, D. and Ricciardi, G., Earthquake-resilient design of base isolated buildings with TMD at basement: Application to a case study. Soil Dynamics and Earthquake Engineering, 113, 2018, 503-521.
7
[8] De Domenico, D. and Ricciardi, G., Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems. Earthquake Engineering & Structural Dynamics, 47(12), 2018, 2539-2560.
8
[9] Elias, S., Matsagar, V. and Datta, T.K., Along‐wind response control of chimneys with distributed multiple tuned mass dampers. Structural Control and Health Monitoring, 26(1), 2019, 2275.
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[11] Suleman, A., Oliveira, F., Botto, M. and Morais, P., Semi-active viscous damper for controlling civil engineering structures subjected to earthquakes. In CONTROLO, 2012.
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[12] Di Matteo, A., Furtmüller, T., Adam, C. and Pirrotta, A., Optimal design of tuned liquid column dampers for seismic response control of base-isolated structures. Acta Mechanica, 229(2), 2018, 437-454.
12
[13] Min, K.W., Kim, H.S., Lee, S.H., Kim, H. and Ahn, S.K., Performance evaluation of tuned liquid column dampers for response control of a 76-story benchmark building. Engineering Structures, 27(7), 2005, 1101-1112.
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[14] Di Matteo, A., Pirrotta, A. and Tumminelli, S., Combining TMD and TLCD: analytical and experimental studies. Journal of Wind Engineering and Industrial Aerodynamics, 167, 2017, 101-113.
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[15] Hitchcock, P.A., Kwok, K.C.S., Watkins, R.D. and Samali, B., Characteristics of liquid column vibration absorbers (LCVA)—I. Engineering Structures, 19(2), 1997, 126-134.
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[16] Hitchcock, P.A., Kwok, K.C.S., Watkins, R.D. and Samali, B., Characteristics of liquid column vibration absorbers (LCVA)—II. Engineering Structures, 19(2), 1997, 135-144.
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[17] Yalla, S.K., Kareem, A. and Kantor, J.C., Semi-active tuned liquid column dampers for vibration control of structures. Engineering Structures, 23(11), 2001, 1469-1479.
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[18] Hemmati, A. and Oterkus, E., Semi-Active Structural Control of Offshore Wind Turbines Considering Damage Development. Journal of Marine Science and Engineering, 6(3), 2018, 102.
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[19] Hemmati, A., Oterkus, E. and Khorasanchi, M., Vibration suppression of offshore wind turbine foundations using tuned liquid column dampers and tuned mass dampers. Ocean Engineering, 172, 2019, 286-295.
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[20] Hochrainer, M.J. and Ziegler, F., Control of tall building vibrations by sealed tuned liquid column dampers. Structural Control and Health Monitoring: The Official Journal of the International Association for Structural Control and Monitoring and of the European Association for the Control of Structures, 13(6), 2006, 980-1002.
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[21] Dezvareh, R., Bargi, K. and Mousavi, S.A., Control of wind/wave-induced vibrations of jacket-type offshore wind turbines through tuned liquid column gas dampers. Structure and Infrastructure Engineering, 12(3), 2016, 312-326.
21
[22] Bargi, K., Dezvareh, R. and Mousavi, S.A., Contribution of tuned liquid column gas dampers to the performance of offshore wind turbines under wind, wave, and seismic excitations. Earthquake Engineering and Engineering Vibration, 15(3), 2016, 551-561.
22
[23] Lindner-Silwester, T. and Schneider, W., The moving contact line with weak viscosity effects–an application and evaluation of Shikhmurzaev’s model. Acta Mechanica, 176(3-4), 2005, 245-258.
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[30] Reggio, A. and Angelis, M.D., Optimal energy‐based seismic design of non‐conventional Tuned Mass Damper (TMD) implemented via inter‐story isolation. Earthquake Engineering & Structural Dynamics, 44(10), 2015, 1623-1642.
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38
ORIGINAL_ARTICLE
Nonlinear Bending Analysis of Functionally Graded Plates Using SQ4T Elements based on Twice Interpolation Strategy
This paper develops a computational model for nonlinear bending analysis of functionally graded (FG) plates using a four-node quadrilateral element SQ4T within the context of the first order shear deformation theory (FSDT). In particular, the construction of the nonlinear geometric equations are based on Total Lagrangian approach in which the motion at the present state compared with the initial state is considered to be large. Small strain-large displacement theory of von Kármán is used in nonlinear formulations of the quadrilateral element SQ4T with twice interpolation strategy (TIS). The solution of the nonlinear equilibrium equations is obtained by the iterative method of Newton-Raphson with the appropriate convergence criteria. The present numerical results are compared with the other numerical results available in the literature in order to demonstrate the effectiveness of the developed element. These results also contribute a better knowledge and understanding of nonlinear bending behaviors of these structures.
https://jacm.scu.ac.ir/article_14483_411bd0af085dd8fbd8c2cd0da2be3e0d.pdf
2020-01-01
125
136
10.22055/jacm.2019.29270.1577
Functionally graded material
Nonlinear bending
First-order shear deformation theory (FSDT)
Twice interpolation strategy (TIS)
Von Kármán theory
Hoang Lan
Ton That
hoanglantonthat@gmail.com
1
Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Vietnam
LEAD_AUTHOR
Hieu
Nguyen-Van
2
Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, 196 Pasteur Street, District 3, Ho Chi Minh City, Vietnam
AUTHOR
Thanh
Chau-Dinh
3
Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 01 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Vietnam
AUTHOR
[1] G. Udupa, S. S. Rao, and K. V. Gangadharan, Functionally Graded Composite Materials: An Overview, Procedia Materials Science, 5, 2014, 1291-1299.
1
[2] V.-H. Nguyen, T.-K. Nguyen, H.-T. Thai, and T. P. Vo, A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates, Composites Part B: Engineering, 66, 2014, 233-246.
2
[3] T. Thai and D.-H. Choi, A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates, Composite Structures, 101, 2013, 332-340.
3
[4] S. S. Vel and R. C. Batra, Exact Solution for Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates, AIAA Journal, 40, 2002, 1421-1433.
4
[5] E. Carrera, S. Brischetto, and A. Robaldo, Variable Kinematic Model for the Analysis of Functionally Graded Material plates, AIAA Journal, 46, 2008, 194-203.
5
[6] G. N. Praveen and J. N. Reddy, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, International Journal of Solids and Structures, 35, 1998, 4457-4476.
6
[7] J. R. Xiao, R. C. Batra, D. F. Gilhooley, J. Gillespie Jr, and M. McCarthy, Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions, Computer Methods in Applied Mechanics and Engineering, 196, 2007, 979-987.
7
[8] A. M. A. Neves, A. J. M. Ferreira, E. Carrera, M. Cinefra, C. M. C. Roque, R. M. N. Jorge, et al., Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique, Composites Part B: Engineering, 44, 2013, 657-674.
8
[9] C. H. Thai, A. M. Zenkour, M. Abdel Wahab, and H. Nguyen-Xuan, A simple four-unknown shear and normal deformations theory for functionally graded isotropic and sandwich plates based on isogeometric analysis, Composite Structures, 139, 2016, 77-95.
9
[10] X. Zhao and K. M. Liew, Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method, Computer Methods in Applied Mechanics and Engineering, 198, 2009, 2796-2811.
10
[11] T. T. Yu, S. Yin, T. Q. Bui, and S. Hirose, A simple FSDT-based isogeometric analysis for geometrically nonlinear analysis of functionally graded plates, Finite Elements in Analysis and Design, 96, 2015, 1-10.
11
[12] T. Q. Bui, T. V. Do, L. H. T. Ton, D. H. Doan, S. Tanaka, D. T. Pham, et al., On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory, Composites Part B: Engineering, 92, 2016, 218-241.
12
[13] V. N. Van Do and C.-H. Lee, Nonlinear analyses of FGM plates in bending by using a modified radial point interpolation mesh-free method, Applied Mathematical Modelling, 57, 2018, 1-20.
13
[14] H. Nguyen-Van, N. Nguyen-Hoai, T. Chau-Dinh, and T. Nguyen-Thoi, Geometrically nonlinear analysis of composite plates and shells via a quadrilateral element with good coarse-mesh accuracy, Composite Structures, 112, 2014, 327-338.
14
[15] H. Nguyen-Van, N. Nguyen-Hoai, T. Chau-Dinh, and T. Tran-Cong, Large deflection analysis of plates and cylindrical shells by an efficient four-node flat element with mesh distortions, Acta Mechanica, 226, 2015, 2693-2713.
15
[16] L. T. That-Hoang, H. Nguyen-Van, T. Chau-Dinh, and C. Huynh-Van, Enhancement to four-node quadrilateral plate elements by using cell-based smoothed strains and higher-order shear deformation theory for nonlinear analysis of composite structures, Journal of Sandwich Structures & Materials, 2018, doi: 10.1177/1099636218797982.
16
[17] D. Jha, T. Kant, and R. Singh, A critical review of recent research on functionally graded plates, Composite Structures, 96, 2013, 833–849.
17
[18] H. Nguyen-Van, H. L. Ton-That, T. Chau-Dinh, and N. D. Dao, Nonlinear Static Bending Analysis of Functionally Graded Plates Using MISQ24 Elements with Drilling Rotations, in International Conference on Advances in Computational Mechanics Singapore, 2018, 461-475.
18
[19] H. L. Ton-That, H. Nguyen-Van, and T. Chau-Dinh, An Improved Four-Node Element for Analysis of Composite Plate/Shell Structures Based on Twice Interpolation Strategy, International Journal of Computational Methods, 2019, doi: 10.1142/S0219876219500208.
19
[20] J. S. Moita, A. L. Araújo, V. F. Correia, C. M. Mota Soares, and J. Herskovits, Buckling and nonlinear response of functionally graded plates under thermo-mechanical loading, Composite Structures, 202, 2018, 719-730.
20
[21] J. S.Moita, V. Franco Correia, C. M. Mota Soares, and J. Herskovits, Higher-order finite element models for the static linear and nonlinear behaviour of functionally graded material plate-shell structures, Composite Structures, 212, 2019, 465-475.
21
[22] N. Valizadeh, S. Natarajan, O. A. Gonzalez-Estrada, T. Rabczuk, T. Q. Bui, and S. P. A. Bordas, NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter, Composite Structures, 99, 2013, 309-326.
22
[23] S. Shojaee and N. Valizadeh, NURBS-based isogeometric analysis for thin plate problems, Structural Engineering and Mechanics, 41, 2012, 617-632.
23
[24] S. Shojaee, N. Valizadeh, E. Izadpanah, T. Bui, and T.-V. Vu, Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method, Composite Structures, 94, 2012, 1677-1693.
24
[25] N. Nguyen-Thanh, N. Valizadeh, M. N. Nguyen, H. Nguyen-Xuan, X. Zhuang, P. Areias, et al., An extended isogeometric thin shell analysis based on Kirchhoff–Love theory, Computer Methods in Applied Mechanics and Engineering, 284, 2015, 265-291.
25
[26] P. K. Karsh, T. Mukhopadhyay, and S. Dey, Stochastic dynamic analysis of twisted functionally graded plates, Composites Part B: Engineering, 147, 2018, 259-278.
26
[27] P. K. Karsh, T. Mukhopadhyay, and S. Dey, Stochastic low-velocity impact on functionally graded plates: Probabilistic and non-probabilistic uncertainty quantification, Composites Part B: Engineering, 159, 2019, 461-480.
27
[28] L. W. Zhang, K. M. Liew, and J. N. Reddy, Geometrically nonlinear analysis of arbitrarily straight-sided quadrilateral FGM plates, Composite Structures, 154, 2016, 443-452.
28
[29] T. N. Nguyen, C. H. Thai, H. Nguyen-Xuan, and J. Lee, Geometrically nonlinear analysis of functionally graded material plates using an improved moving Kriging meshfree method based on a refined plate theory, Composite Structures, 193, 2018, 268-280.
29
[30] T. Quoc Bui, D. Quang Vo, Chuanzeng Zhang, and D. Dinh Nguyen, A consecutive-interpolation quadrilateral element (CQ4): Formulation and applications, Finite Elements in Analysis and Design, 84, 2014, 14-31.
30
[31] C. Zheng, S. C. Wu, X. H. Tang, and J. H. Zhang, A novel twice-interpolation finite element method for solid mechanics problems, Acta Mechanica Sinica, 26, 2010, 265-278.
31
[32] S. C. Wu, W. H. Zhang, X. Peng, and B. R. Miao, A twice-interpolation finite element method (TFEM) for crack propagation problems, International Journal of Computational Methods, 9, 2012, 1250055.
32
ORIGINAL_ARTICLE
Numerical Analysis of Transient Heat Transfer in Radial Porous Moving Fin with Temperature Dependent Thermal Properties
In this article, a time dependent partial differential equation is used to model the nonlinear boundary value problem describing heat transfer through a radial porous moving fin with rectangular profile. The study is performed by applying a numerical solver in MATLAB (pdepe), which is a centered finite difference scheme. The thermal conductivity and fin surface emissivity are linearly dependent on temperature while the heat transfer coefficient is given by power law function of temperature. The effects of thermo-physical parameters, such as the Peclet number, surface emissivity coefficient, power index of heat transfer coefficient, convective-conductive parameter, radiative-conductive parameter and non-dimensional ambient temperature on temperature are studied.
https://jacm.scu.ac.ir/article_14456_d1152313ef1eb660ec3d286ee63a5aa5.pdf
2020-01-01
137
144
10.22055/jacm.2019.29271.1578
Numerical analysis
heat transfer
Thermal conductivity
Moving fin
Fin tip temperature
Partner Luyanda
Ndlovu
luyandandlovu@icloud.com
1
School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private, Bag 3, WITS 2050, Johannesburg, South Africa
LEAD_AUTHOR
[1] Kraus, A.D., Aziz, A., Welty, J., Extended Surface Heat Transfer, Wiley, New York, 2001.
1
[2] Kern, Q.D., Kraus, A.D., Extended Surface Heat Transfer, McGraw-Hill, New York, 1972.
2
[3] Gorla, R.S.R., Bakier, A.Y., Thermal analysis of natural convection and radiation in porous fins, International Communications in Heat and Mass Transfer, 38, 2011, 638-645.
3
[4] Moradi, A., Fallah, A.P.M., Hayat, T., Aldossary, O.M., On Solution of Natural Convection and Radiation Heat Transfer Problem in a Moving Porous Fin, Arabian Journal for Science and Engineering, 39, 2014, 1303–1312.
4
[5] Ndlovu, P.L., Moitsheki, R.J., Analytical Solutions for Steady Heat Transfer in Longitudinal Fins with Temperature-Dependent Properties, Mathematical Problems in Engineering, 2013, Article ID: 273052, 14p.
5
[6] Ndlovu, P.L., Moitsheki, R.J., Application of the two-dimensional differential transform method to heat conduction problem for heat transfer in longitudinal rectangular and convex parabolic fins, Communications in Nonlinear Science and Numerical Simulation, 18, 2013, 2689-2698.
6
[7] Mosayebidorcheh, S., Rahimi-Gorji, M., Ganji, D.D., Moayebidorcheh, T., Pourmehran, O., Biglarian, O., Transient thermal behavior of radial fins of rectangular, triangular and hyperbolic profiles with temperature-dependent properties using DTM-FDM, Journal of Central South University, 24(3), 2017, 675-682.
7
[8] Kanti Roy, P., Mallick, A., Mondal, H., Sibanda, P., A Modified Decomposition Solution of Triangular Moving Fin with Multiple Variable Thermal Properties, Arabian Journal for Science and Engineering, 43(30), 2017, 1485-1497.
8
[9] Turkyilmazoglu, M., Heat transfer from moving exponential fins exposed to heat generation, International Journal of Heat and Mass Transfer, 116, 2018, 346-351.
9
[10] Singla, R.K., Das, R., Application of decomposition solution and inverse prediction of parameters in a moving fin, Energy Conversion and Management, 84, 2014, 268-281.
10
[11] Dogonchi, A.S., Ganji, D.D., Convection-radiation heat transfer study of moving fin with temperature-dependent thermal conductivity, heat transfer coefficient and heat generation, Applied Thermal Engineering, 103, 2016, 705–712.
11
[12] Ndlovu, P.L., Moitsheki, R.J., Thermal analysis of natural convection and radiation heat transfer in moving porous fins, Frontiers in Heat and Mass Transfer, 12(7), 2019, 8p.
12
[13] Mosayebidorcheh, S., Farzinpoor, M., Ganji, D.D., Transient thermal analysis of longitudinal fins with internal heat generation considering temperature-dependent properties and different fin profiles, Energy Conversion and Management, 86, 2014, 365-370.
13
[14] Ledari, S.T., Mirgolbabaee, H., Ganji, D.D., Heat transfer analysis of a fin with temperature dependent thermal conductivity and heat transfer coefficient, New Trends in Mathematical Sciences, 3(2), 2015, 55-69.
14
[15] Moitsheki, R.J., Harley, C., Transient heat transfer in longitudinal fins of various profiles with temperature-dependent thermal conductivity and heat transfer coefficient, Pramana Journal of Physics, 77(3), 2011, 519-532.
15
[16] Ndlovu, P.L., Moitsheki, R.J., Predicting the Temperature Distribution in Longitudinal Fins of Various Profiles with Power Law Thermal Properties Using the Variational Iteration Method, Defect and Diffusion Forum, 387, 2018, 403-416.
16
[17] Sobamowo, M.G., Analysis of convective longitudinal fin with temperature-dependent thermal conductivity and internal heat generation, Alexandria Engineering Journal, 56, 2017, 1-11.
17
[18] Aziz, A., Lopez, J.R.J., Convection-radiation from a continuously moving, variable thermal conductivity sheet or rod undergoing thermal processing, International Journal of Thermal Sciences, 50, 2011, 1523-1531.
18
[19] Jaluria, Y., Transport from continuously moving materials undergoing thermal processing, Annual Reviews of Heat Transfer, 4, 1992, 187-245.
19
[20] Ünal, H.C., An analytical study of boiling heat transfer from a fin, International Journal of Heat and Mass Transfer, 31(7), 1988, 1483-96.
20
ORIGINAL_ARTICLE
Analysis of High-order Approximations by Spectral Interpolation Applied to One- and Two-dimensional Finite Element Method
The implementation of high-order (spectral) approximations associated with FEM is an approach to overcome the difficulties encountered in the numerical analysis of complex problems. This paper proposes the use of the spectral finite element method, originally developed for computational fluid dynamics problems, to achieve improved solutions for these types of problems. Here, the interpolation nodes are positioned in the zeros of orthogonal polynomials (Legendre, Lobatto, or Chebychev) or equally spaced nodal bases. A comparative study between the bases in the recovery of solutions to 1D and 2D elastostatic problems are performed. Examples are evaluated, and a significant improvement is observed when the SFEM, particularly the Lobatto approach, is used in comparison to the equidistant base interpolation.
https://jacm.scu.ac.ir/article_14444_edae6ee1e1a1da219fc81f34da0bf0bb.pdf
2020-01-01
145
159
10.22055/jacm.2019.28771.1511
Spectral finite element method
Elastostatic problem
Orthogonal basis
Luís Philipe Ribeiro
Almeida
luis.almeida@ctec.ufal.br
1
Federal University of Alagoas, Laboratory of Scientific Computing and Visualization Technology Center, Campus A.C. Simões, Maceió-AL, 57092-970, Brazil
AUTHOR
Hilton Marques
Souza Santana
hiltonmarquess@gmail.com
2
Federal University of Sergipe, Department of Civil Engineering, Campus São Cristovão, Aracaju-SE, 49100-000, Brazil
AUTHOR
Fabio Carlos
Da Rocha
fcrocha@ufs.br
3
Federal University of Sergipe, Department of Civil Engineering, Campus São Cristovão, Aracaju-SE, 49100-000, Brazil
LEAD_AUTHOR
[1] Babuska, I., Szabo, B.A., Katz, I.N., The p-version of the finite element method. SIAM Journal on Numerical Analysis, 18(3), 1981, 515-545.
1
[2] Rocha, F.C., Kzam, A.K.L., Análise das aproximações de alta ordem por meio da interpolação espectral aplicadas ao MEC potencial. In proceeding XXXIV Iberian Latin-American Congress in Computational Methods in Engineering, 2013.
2
[3] Zak, A., Krawczuk, M., Certain numerical issues of wave propagation modelling in rods by the Spectral Finite Element Method. Finite Elements in Analysis and Design, 47, 2011, 1036-1046.
3
[4] Kudela, P., et al. Wave propagation modelling in 1D structures using spectral finite elements. Journal of Sound and Vibration, 300(1-2), 2007, 88-100.
4
[5] Karniadaki, G. E., Sherwin, S. J., Spectral/Hp Element Methods for CFD. Oxford: Oxford University Press, 1999.
5
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35
ORIGINAL_ARTICLE
Modeling of Weld Bead Geometry Using Adaptive Neuro-Fuzzy Inference System (ANFIS) in Additive Manufacturing
Additive Manufacturing describes the technologies that can produce a physical model out of a computer model with a layer-by-layer production process. Additive Manufacturing technologies, as compared to traditional manufacturing methods, have the high capability of manufacturing the complex components using minimum energy and minimum consumption. These technologies have brought about the possibility to make small pieces of raw materials in the shortest possible time without the need for a mold or tool. One of the technologies used to make pieces of the layer-by-layer process is the Gas Metal Arc Welding (GMAW). One of the basic steps in this method of making parts is the prediction of bead geometry in each pass of welding. In this study, taking into account the effective parameters on the geometry of weld bead, an empirical study has been done in this field. For this purpose, three parameters of voltage, welding speed and wire feeding rate are considered as effective parameters on the welding geometry of the process. Width and height of the bead are also determined by the parameters of the geometry of the weld according to the type and application of the research as output parameters are considered. In this paper, an adaptive neuro-fuzzy inference system (ANFIS) is used to create an adaptive model between input process data and parameters of weld bead geometry. The least squares mean error is used to evaluate the model. The predicted results by the model have a good correlation with the experimental data.
https://jacm.scu.ac.ir/article_14504_c8f0b3366665402accf19917fe0a9763.pdf
2020-01-01
160
170
10.22055/jacm.2019.29077.1555
Weld bead geometry
Additive manufacturing
modeling
ANFIS
Gas Metal Arc Welding (GMAW)
Abolfazl
Foorginejad
foorginejad@birjandut.ac.ir
1
Department of Mechanical Engineering, Birjand Ubiversity of Technology, Birjand, Iran
LEAD_AUTHOR
Majid
Azargoman
azargomanmajid@gmail.com
2
Department of Mechanical Engineering, Birjand University of Technology, Birjand, Iran
AUTHOR
Nader
Mollayi
mollayi@birjandut.ac.ir
3
Department of Computer engineering and Information Technology, Birjand University of Technology, Birjand, Ira
AUTHOR
Morteza
Taheri
morteza.taheri@modares.ac.ir
4
Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
AUTHOR
[1] Zhang, Y., Chen, Y., Li, P., Male, A. T., Weld deposition-based rapid prototyping: a preliminary study, Journal of Materials Processing Technology, 135 (2), 2003, 347-357.
1
[2] Suryakumar, S., Karunakaran ,K., Bernard, A., Chandrasekhar, U., Raghavender, N., Sharma, D., Weld bead modeling and process optimization in hybrid layered manufacturing, Computer-Aided Design, 43 (4), 2011, 331-344.
2
[3] Wanjara, P., Brochu, M., Jahazi, M., Electron beam freeforming of stainless steel using solid wire feed, Materials & design, 28 (8), 2007, 2278-2286.
3
[4] Karunakaran, K., Suryakumar, S., Pushpa, V., Akula, S., Retrofitment of a CNC machine for hybrid layered manufacturing, The International Journal of Advanced Manufacturing Technology, 45 (7), 2009, 690-703.
4
[5] Xiong, J., Zhang, G., Hu, J., Wu, L., Bead geometry prediction for robotic GMAW-based rapid manufacturing through a neural network and a second-order regression analysis, Journal of Intelligent Manufacturing, 25 (1), 2014,157-163.
5
[6] Merz, R., Prinz, F., Ramaswami, K., Terk, M., Weiss, L., Shape deposition manufacturing Engineering Design Research Center, Carnegie Mellon Univ, 1994, 1-8.
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[7] Song, Y-A., Park, S., Experimental investigations into rapid prototyping of composites by novel hybrid deposition process, Journal of Materials Processing Technology, 171 (1), 1006, 35-40.
7
[8] Kovacevic, R., Rapid prototyping technique based on 3D welding, In NSF design & manufacturing grantees conference, 1999, 12-16.
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[10] Weiss, L., Prinz, F., Adams, D., Siewiorek, D., Thermal spray shape deposition. Journal of Thermal Spray Technology, 1 (3), 1992, 231-237
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[11] Kim, I-S., Son, J-S., Lee, S-H., Yarlagadda, P. K., Optimal design of neural networks for control in robotic arc welding, Robotics and computer-integrated manufacturing, 20 (1), 2004, 57-63.
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[12] Ramos-Jaime, D., López-Juárez, I., Perez, P., Effect of process parameters on robotic GMAW bead area estimation, Procedia Technology, 7, 2013, 398-405.
12
[13] Lee, W-c., Wei, C-C., Chung, S-C., Development of a hybrid rapid prototyping system using low-cost fused deposition modeling and five-axis machining, Journal of Materials Processing Technology, 214 (11), 2014, 2366-2374.
13
[14] Dewan, M. W., Huggett, D. J., Liao, T. W., Wahab, M. A., Okeil, A. M., Prediction of tensile strength of friction stir weld joints with adaptive neuro-fuzzy inference system (ANFIS) and neural network, Materials & Design, 92, 2016, 288-299.
14
[15] Kovacevic, R., Zhang, Y. M., Neurofuzzy model-based weld fusion state estimation. IEEE Control Systems Magazine, 17(2),1997, 30-42.
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[16] Zhang, Y. M., Kovacevic, R., Neurofuzzy model-based predictive control of weld fusion zone geometry. IEEE Transactions on Fuzzy Systems, 6(3), 1998, 389-401.
16
[17] Karuthapandi, S., Ramu, M., Thyla, P., Effects of the use of a flat wire electrode in gas metal arc welding and fuzzy logic model for the prediction of weldment shape profile, Journal of Mechanical Science and Technology, 31 (5), 2017, 2477-2486.
17
[18] Chandrasekhar, N., Vasudevan, M., Bhaduri, A., Jayakumar, T., Intelligent modeling for estimating weld bead width and depth of penetration from infra-red thermal images of the weld pool, Journal of Intelligent Manufacturing, 26 (1), 2015, 59-71.
18
[19] Vishnuvaradhan, S., Chandrasekhar, N., Vasudevan, M., Jayakumar, T., Intelligent modeling using adaptive neuro fuzzy inference system (ANFIS) for predicting weld bead shape parameters during A-TIG welding of reduced activation ferritic-martensitic (RAFM) steel, Transactions of the Indian Institute of Metals, 66 (1), 2013, 57-63.
19
[20] Liu, Y., Zhang, W., Zhang, Y., Dynamic neuro-fuzzy-based human intelligence modeling and control in GTAW. IEEE Transactions on Automation Science and Engineering, 12(1), 2013, 324-335.
20
[21] Liu, Y., Zhang, Y., Iterative local ANFIS-based human welder intelligence modeling and control in pipe GTAW process: A data-driven approach. IEEE/ASME Transactions on Mechatronics, 20(3), 2014, 1079-1088.
21
[22] Liu, Y. K., Zhang, W. J., Zhang, Y. M., Nonlinear modeling for 3D weld pool characteristic parameters in GTAW. Weld J, 94(7), 2015, 231-240.
22
[23] Ozcelik, S., Moore, K., Modeling, sensing and control of gas metal arc welding, Elsevier, 2003.
23
[24] Olabi, A., Alsinani, F., Alabdulkarim, A., Ruggiero, A., Tricarico, L., Benyounis, K., Optimizing the CO 2 laser welding process for dissimilar materials, Optics and Lasers in Engineering, 51 (7), 2013, 832-839.
24
[25] Murugan, V. V., Gunaraj, V., Effects of process parameters on angular distortion of gas metal arc welded structural steel plates, Welding journal, 11, 2005, 165-171.
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[26] Li, K., Zhang, Y., Consumable double-electrode GMAW-Part 1: The process, WELDING JOURNAL-NEW YORK, 87 (1), 2008, 11,
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[27] Wang, L-X., A course in fuzzy systems, Prentice-Hall press, USA, 1999.
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30
[31] Liu, P., Leng, W., Fang, W., Training anfis model with an improved quantum-behaved particle swarm optimization algorithm, Mathematical Problems in Engineering, 2013.
31
ORIGINAL_ARTICLE
Entropy Generation of Variable Viscosity and Thermal Radiation on Magneto Nanofluid Flow with Dusty Fluid
The present work illustrates the variable viscosity of dust nanofluid runs over a permeable stretched sheet with thermal radiation. The problem has been modelled mathematically introducing the mixed convective condition and magnetic effect. Additionally analysis of entropy generation and Bejan number provides the fine points of the flow. The of model equations are transformed into non-linear ordinary differential equations which are then transformed into linear form using the spectral quasi-linearization method (SQLM) for direct Taylor series expansions that can be applied to non-linear terms in order to linearize them. The spectral collocation approach is then applied to solve the resulting linearized system of equations. The validity of our model is established using relative entropy generation analysis. A convergence schematic was obtained graphically. Consequence of various parameters on flow features have been delivered via graphs. Some important findings reported in this study that entropy generation analysis have significant impact in controlling the rate of heat transfer in the boundary layer region. The paper acquires realistic numerical explanations for rapidly convergent solutions using the Spectral quasi-linearization method. Convergence of the numerical solutions was monitored using the convergence graph. The initial guess values are automatically satisfied the boundary conditions. The resulting equations are then integrated using the Spectral quasi-linearization methods. The influence of radiation, heat and mass parameters on the flow are made appropriately via graphs. The effects of varying certain physical parameters of interest are examined and presented.
https://jacm.scu.ac.ir/article_14243_23c240017eb47f0d4ec867b0973f5081.pdf
2020-01-01
171
182
10.22055/jacm.2019.28273.1473
Spectral quasiliearization method
Viscous dissipation
Variable viscosity
Entropy generation
Thermal radiation
Hiranmoy
Mondal
hiranmoymondal@yahoo.co.in
1
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01 Scottsville, 3209, South Africa
LEAD_AUTHOR
Shweta
Mishra
shweta9935@gmail.com
2
Amity Institute of Information Technology, Amity University, NewTown, Kolkata, West Bengal 700135, India
AUTHOR
Prabir Kumar
Kundu
kunduprabir@yahoo.co.in
3
Deptartment of Mathematics, Jadavpur University, West Bengal, Kolkata 700032, India
AUTHOR
Precious
Sibanda
sibandap@ukzn.ac.za
4
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01 Scottsville, 3209, South Africa
AUTHOR
[1] O.D. Makinde, A. Aziz, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, International Journal of Thermal Sciences, 50, 2011, 1326-1332.
1
[2] X.Q. Wang and A.S. Mujumdar, A review on nanofluids - part ii: Experiments and applications, Brazilian Journal of Chemical Engineering, 25, 2008, 631-648.
2
[3] S. Kakac, A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, International Journal of Heat and Mass Transfer, 52, 2009, 3187-3196.
3
[4] D. Pal, H. Mondal, Soret-Dufour effects on hydromagnetic non-Darcy convective-radiative heat and mass transfer over a stretching sheet in porous medium with viscous dissipation and Ohmic heating, Journal of Applied Fluid Mechanics, 7(3), 2014, 513–523.
4
[5] D. Pal, H. Mondal, MHD non-Darcy mixed convective diffusion of species over a stretching sheet embedded in a porous medium with non-uniform heat source/sink, variable viscosity and Soret effects. Communications in Nonlinear Science and Numerical Simulation, 17, 2012, 672-684.
5
[6] M.M. Rashidi, E. Momoniat, B. Rostami, Analytic approximate solutions for the MHD boundary layer viscoelastic fluid flow over continuously moving stretched surface by homotopy analysis method with two auxiliary parameters, Journal of Applied Mathematics, 2012, Article ID: 780415.
6
[7] M.M. Rashidi, E. Erfani, Analytical method for solving steady MHD and convective flow due to a rotating disk with viscous dissipation and ohmic heating, Engineering Computations, 29, 2012, 562–579.
7
[8] D. Pal, S. Chatterjee, Heat and mass transfer in mhd non-darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation, Communications in Nonlinear Science and Numerical Simulation, 15(7), 2010, 1843-1857.
8
[9] R. Kandasamy, K. Periasamy, K.S. Prabhu, Effects of chemical reaction, heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection, International Journal of Heat and Mass Transfer, 48(7), 2005, 1388-1394.
9
[10] R. Kandasamy, I. Muhaimin, A.B. Khamis, Thermophoresis and variable viscosity effects on mhd mixed convective heat and mass transfer past a porous wedge in the presence of chemical reaction, Heat and Mass Transfer, 45(6), 2009, 703-712.
10
[11] D. Pal, H. Mondal, Hydromagnetic convective diffusion of species in Darcy–Forchheimer porous medium with non-uniform heat source/sink and variable viscosity, International Communications in Heat and Mass Transfer, 39, 2012, 913-917
11
[12] S. Manjunatha, B.J. Gireesha, Effects of variable viscosity and thermal conductivity on MHD flow and heat transfer of a dusty fluid, Ain Shams Engineering Journal, 7, 2016, 505-515.
12
[13] A. Pantokratoras, Further results on the variable viscosity on the flow and heat transfer to a continuous moving flat plate, International Journal of Engineering Science, 42, 2004, 1891-1896.
13
[14] S. Mukhopadhyay, G.C. Layek, Effect of thermal radiation and variable fluid viscosity on free convective and heat transfer past a porous stretching surface, International Journal of Heat and Mass Transfer, 21, 2008, 2167-78.
14
[15] M.S. Abel, P.G. Siddheshwar, M.M. Nandeppanawar, Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source, International Journal of Heat and Mass Transfer, 50, 2007, 960-966.
15
[16] A. Noghrehabadi, M.R. Saffarian, R. Pourrajab, M. Ghalambaz, Entropy analysis for nanofluid flow over a stretching sheet in the presence of heat generation/absorption and partial slip. Journal of Mechanical Science and Technology, 27(3), 2013, 927-37.
16
[17] H. Sithole, H. Mondal, P. Sibanda, Entropy generation in a second grade magnetohydrodynamic nanofluid flow over a convectively heated stretching sheet with nonlinear thermal radiation and viscous dissipation, Results in Physics, 9, 2018, 1077-1085.
17
[18] N. Hidouri, M. Magherbi, H. Abbassi, A. Ben Brahim, Entropy generation in double diffusive in presence of Soret effect, Progress in Computational Fluid Dynamics, 5, 2007, 237-46.
18
[19] L. Aracely, I. Guillermo, P. Joel, M. Joel, L. Orlando, Entropy generation analysis of MHD nanofluid flow in a porous vertical microchannel with nonlinear thermal radiation, slip flow and convective-radiative boundary conditions, International Journal of Heat and Mass Transfer, 107, 2017, 982-94.
19
[20] Kh.A. Maleque, Effects of binary chemical reaction and activation energy on mhd boundary layer heat and mass transfer flow with viscous dissipation and heat generation/ absorption, ISRN Thermodynamics, 2013, Article ID 284637.
20
[21] D. Pal, H. Mondal, Influence of chemical reaction and thermal radiation on mixed convection heat and mass transfer over a stretching sheet in Darcian porous medium with Soret and Dufour effects, Energy Conversion and Management, 62, 2012, 102-108
21
[22] M. Dhlamini, K. Peri, K. Kameswaran, P. Sibanda, S. Motsa, H. Mondal, Activation energy and binary chemical reaction effects in mixed convective nanofluid flow with convective boundary conditions, Journal of Computational Design and Engineering, 6(2), 2019, 149-158.
22
[23] F.G. Awad, S. Motsa, M. Khumalo, Heat and mass transfer in unsteady rotating fluid flow with binary chemical reaction and activation energy, PloS One, 9(9), 2014, 107622.
23
[24] H. Sithole, H. Mondal, S. Goqo, P. Sibanda, S. Motsa, Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction, Applied Mathematics and Computation, 339, 2018, 820-836.
24