ORIGINAL_ARTICLE
Micropolar Fluid Flow Induced due to a Stretching Sheet with Heat Source/Sink and Surface Heat Flux Boundary Condition Effects
Computational and mathematical models provide an important compliment to experimental studies in the development of solar energy engineering in case of electro-conductive magnetic micropolar polymers. Inspired by further understanding the complex fluid dynamics of these processes, we examine herein the non-linear steady, hydromagnetic micropolar flow with radiation and heat source/sink effects included. The transformed non-dimensional governing partial differential equations are solved with the R-K fourth order with shooting technique subjected to appropriate boundary conditions. The characteristics of the embedded parameters are obtained and presented through graphs. Velocity and microrotation of the fluid decreased with enhancing values of material parameter and suction/injection parameter. Electric field parameter has ability to enhance velocity, but temperature shows opposite behaviour. Microrotation increases for both magnetic field and surface temperature parameters.
https://jacm.scu.ac.ir/article_14132_2100de4d345f33eb8bcb048e84b12bdf.pdf
2019-10-01
816
826
10.22055/jacm.2019.27965.1446
Micropolar Fluid
Heat source/sink
stretching Sheet
Partial slip
Surface heat flux boundary conditions
MD
Shamshuddin
shammaths@gmail.com
1
Department of Mathematics, Vaagdevi College of Engineering, Warangal -506005, Telangana, India
LEAD_AUTHOR
Thumma
Thirupathi
thirupathi.thumma@gmail.com
2
Department of Mathematics, B V Raju Institute of Technology, Medak-502313, Telangana, India
AUTHOR
P.V.
Satya Narayana
pvsatya8@yahoo.co.in
3
Department of Mathematics, SAS, Vellore institute of Technology (VIT University), Vellore-632014, Tamilnadu, India
AUTHOR
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54
ORIGINAL_ARTICLE
An Analytical and Semi-analytical Study of the Oscillating Flow of Generalized Burgers’ Fluid through a Circular Porous Medium
Unsteady oscillatory flow of generalized Burgers’ fluid in a circular channel tube in the porous medium is investigated under the influence of time-dependent trapezoidal pressure gradient given by an infinite Fourier series. An exact analytical expression for the solution for the fluid velocity and the shear stress are recovered by using the similarity arguments together with the integral transforms. The solution is verified with a semi-analytical solution obtained by employing the Stehfest's method. Using the software Mathcad, numerical calculations have been carried out, and results are presented in graphical illustrations in order to analyze the effects of various fluid parameters on the fluid motion. As expected, with the increase in the permeability of the porous medium, the drag force decreases, which results in an increase in the velocity profile for all kinds of fluid models (a generalized Burgers’ fluid, a Burgers’ fluid, a Maxwell fluid, and an Oldroyd-B fluid). Moreover, it has been observed that the material constants of the generalized Burgers’ fluid, as well as the Burgers’ fluid, are other important factors that enhance the flow velocity performance of the fluid. The velocity-time variation for the generalized Burgers’ fluid, the Oldroyd-B fluid, and the Newtonian fluid is similar to the trapezoidal waveform, whereas it is different for the Burgers’ and Maxwell fluid.
https://jacm.scu.ac.ir/article_14140_2083ca6a7ef16c7bf87c93964044bc71.pdf
2019-10-01
827
839
10.22055/jacm.2019.27677.1428
Oscillating motion
Porous medium
Trapezoidal pressure gradient
Generalized Burgers’ fluid
Analytical and semi-analytical solution
Abdul
Rauf
abdul.rauf@aumc.edu.pk
1
Department of Computer Science & Engineering, Air University, Abdali Road, Khan Center, Multan, 60000, Pakistan
LEAD_AUTHOR
[1] Tan, W., Xian, F. and Wei, L., An exact solution of unsteady Couette flow of generalized second grade fluid. Chinese Science Bulletin, 47(21), 2002, 1783-1785.
1
[2] Qi, H. and Jin, H., Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders. Acta Mechanica Sinica, 22(4), 2006, 301-305.
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[3] Hayat, T., Nadeem, S. and Asghar, S., Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model. Applied Mathematics and Computation, 151(1), 2004, 153-161.
3
[4] Khan, M., Maqbool, K. and Hayat, T., Influence of Hall current on the flows of a generalized Oldroyd-B fluid in a porous space. Acta Mechanica, 184(1-4), 2006, 1-13.
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[5] Huang, J., He, G. and Liu, C., Analysis of general second-order fluid flow in double cylinder rheometer. Science in China Series A: Mathematics, 40(2), 1997, 183-190.
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[6] Xu, M. and Tan, W., Theoretical analysis of the velocity field, stress field and vortex sheet of generalized second order fluid with fractional anomalous diffusion. Science in China Series A: Mathematics, 44(11), 2001, 1387-1399.
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[7] Jyothi, K.L., Devaki, P. and Sreenadh, S., Pulsatile flow of a Jeffrey fluid in a circular tube having internal porous lining. International Journal of Mathematical Archive, 4(5), 2013.
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[8] Ghosh, A.K. and Sana, P., On hydromagnetic channel flow of an Oldroyd-B fluid induced by rectified sine pulses. Computational & Applied Mathematics, 28(3), 2009, 365-395.
8
[9] Elshehawey, E.F., Eldabe, N.T., Elghazy, E.M. and Ebaid, A., Peristaltic transport in an asymmetric channel through a porous medium. Applied Mathematics and Computation, 182(1), 2006, 140-150.
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[10] Lin, F.H., Liu, C. and Zhang, P., On hydrodynamics of viscoelastic fluids. Communications on Pure and Applied Mathematics, 58(11), 2005, 1437-1471.
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[17] Manos, T., Marinakis, G. and Tsangaris, S., Oscillating viscoelastic flow in a curved duct—exact analytical and numerical solution. Journal of Non-newtonian Fluid Mechanics, 135(1), 2006, 8-15.
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[18] Khan, M., Anjum, A., Fetecau, C. and Qi, H., Exact solutions for some oscillating motions of a fractional Burgers’ fluid. Mathematical and Computer Modelling, 51(5-6), 2010, 682-692.
18
[19] Zheng, L., Li, C., Zhang, X. and Gao, Y., Exact solutions for the unsteady rotating flows of a generalized Maxwell fluid with oscillating pressure gradient between coaxial cylinders. Computers & Mathematics with Applications, 62(3), 2011, 1105-1115.
19
[20] Ruckmongathan, T.N., Techniques for reducing the hardware complexity and the power consumption of drive electronics, 2006.
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[21] Hayat, T., Khan, S. B., Khan, M., Exact solution for rotating flows of a generalized Burgers’s fluid in a porous space. Applied Mathematical Modelling, 32, 2008, 749-760.
21
[22] Hayat, T., Khan, M. and Asghar, S., On the MHD flow of fractional generalized Burgers’ fluid with modified Darcy’s law. Acta Mechanica Sinica, 23(3), 2007, pp.257-261.
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29
ORIGINAL_ARTICLE
Irreversibility Analysis of MHD Buoyancy-Driven Variable Viscosity Liquid Film along an Inclined Heated Plate Convective Cooling
Analysis of intrinsic irreversibility and heat transfer in a buoyancy-driven changeable viscosity liquid along an incline heated wall with convective cooling taking into consideration the heated isothermal and isoflux wall is investigated. By Newton’s law of cooling, we assumed the free surface exchange heat with environment and fluid viscosity is exponentially dependent on temperature. Appropriate governing model equations for momentum and energy balance with volumetric entropy generation expression are obtained and then transformed using dimensionless variables to form set of nonlinear boundary valued problem. Using shooting method with Runge-Kutta-Fehlberg integration scheme, the model is numerically tackled. Pertinent results for the fluid velocity, temperature, skin friction, Nusselt number, entropy generation rate and Bejan number are obtained and discussed.
https://jacm.scu.ac.ir/article_14130_832e8760fbf9f2c87999ad2346369898.pdf
2019-10-01
840
848
10.22055/jacm.2019.28313.1476
Inclined plane
MHD liquid film
Isothermal wall
Isoflux wall
Convective cooling
Entropy generation
Adetayo
Eegunjobi
samdet1@yahoo.com
1
Mathematics Department, Namibia University of Science and Technology, Windhoek, 9000, Namibia
LEAD_AUTHOR
O.D.
Makinde
makinded@gmail.com
2
Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
AUTHOR
[1] Thiele, U., Knobloch, E., Thin liquid films on a slightly inclined heated plate. Physica D, 190 (2004) 213–248.
1
[2] Ern, A., Joubaud, R., Lelièvre, T., Numerical study of a thin liquid film flowing down an inclined wavy plane. Physica D, 240 (2011) 1714–1723.
2
[3] Ghiasy, D., Boodhoo, K.V.K., Tham, M.T., Thermographic analysis of thin liquid films on a rotating disc: Approach and challenges. Applied Thermal Engineering, 44 (2012) 39-49.
3
[4] 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 (2007) 1–7.
4
[5] Sadiq, I.M.R., Usha, R., Linear instability in a thin viscoelastic liquid film on an inclined, non-uniformly heated wall. International Journal of Engineering Science, 43 (2005) 1435–1449.
5
[6] Makinde, O.D., Laminar falling liquid film with variable viscosity along an inclined heated plate. Applied Mathematics and Computation, 175 (2006) 80–88.
6
[7] Sekhar, G.N., Jayalatha, G., Elastic effects on Rayleigh-Benard convection in liquids with temperature-dependent viscosity. International Journal of Thermal Sciences, 49 (2010) 67–75.
7
[8] Nonino, C., Del Giudice, S., Savino, S., Temperature dependent viscosity effects on laminar forced convection in the entrance region of straight ducts. International Journal of Heat and Mass Transfer, 49 (2006) 4469–4481.
8
[9] Hooman, K., Gurgenci, H., Effects of temperature-dependent viscosity on Be´nard convection in a porous medium using a non-Darcy model. International Journal of Heat and Mass Transfer, 51 (2008) 1139–1149.
9
[10] Kabova, Y.O., Kuznetsov, V.V., Kabov, O.A., Temperature dependent viscosity and surface tension effects on deformations of non-isothermal falling liquid film. International Journal of Heat and Mass Transfer, 55 (2012) 1271–1278.
10
[11] Eegunjobi, A.S., Makinde, O.D., Entropy generation analysis in transient variable viscosity Couette ow between two concentric pipes. Journal of Thermal Science and Technology, 9(2), 2014, 8p.
11
[12] Vishnu Ganesha, N., Al-Mdallalb, Q.M., Chamkhac, A.J., A numerical investigation of Newtonian fluid flow with buoyancy, thermal slip of order two and entropy generation. Case Studies in Thermal Engineering, 13 (2019) 100376.
12
[13] Eegunjobi A.S., Makinde, O.D., MHD Mixed Convection Slip Flow of Radiating Casson Fluid with Entropy Generation in a Channel Filled with Porous Media. Defect and Diffusion Forum, 374 (2017) 47-66.
13
[14] Sourtiji, E., Gorji-Bandpy, M., Ganji, D.D., Seyyedi, S.M., Magnetohydrodynamic buoyancy-driven heat transfer in a cylindrical–triangular annulus filled by Cu–water nanofluid using CVFEM. Journal of Molecular Liquids, 196 (2014) 370-380.
14
[15] Parmar, L., Kulshreshtha, S.B., Singh, D.P., The role of magnetic field intensity in blood flow through overlapping stenosed artery: A Herschel-Bulkley fluid model. Advances in Applied Science Research, 4(6) (2013) 318-328.
15
[16] Astarita, G.M., Palumbo, G., Non-Newtonian gravity flow along inclined plane surfaces, Industrial & Engineering Chemistry Fundamentals, 3(4) (1964) 333-339.
16
[17] Makinde, O.D., Laminar falling liquid film with variable viscosity along an inclined heated plate, Applied Mathematics and Computation, 175 (2006) 80-88.
17
[18] Makinde, O.D., Thermodynamic second law analysis for a gravity-driven variable viscosity liquid film along an inclined heated plate with convective cooling. Journal of Mechanical Science and Technology, 24(4) (2010) 899-908.
18
[19] Saouli, S., Aiboud-Saouli, S., Second law analysis of laminar falling liquid film along an inclined heated plate. International Communications in Heat and Mass Transfer, 31 (2004) 879-886.
19
[20] Cebeci, T., Bradshaw. P., Physical and Computational Aspects of Convective Heat Transfer, Springer: New York, NY, USA, 1988.
20
[21] Afridi, M.I., Qasim, M., Khan, N.I., Makinde, O.D., Minimization of Entropy Generation in MHD Mixed Convection Flow with Energy Dissipation and Joule Heating: Utilization of Sparrow-Quack-Boerner Local Non-Similarity Method, Defect and Diffusion Forum, 387 (2018) 63-77.
21
[22] Khan, N.A., Naz, F., Sultan, F., Entropy generation analysis and effects of slip conditions on micropolar fluid flow due to a rotating disk, Open Engineering, 7 (2017) 185–198.
22
ORIGINAL_ARTICLE
A Paired Quasi-linearization on Magnetohydrodynamic Flow and Heat Transfer of Casson Nanofluid with Hall Effects
Present study explores the effect of Hall current, non-linear radiation, irregular heat source/sink on magnetohydrodynamic flow of Casson nanofluid past a nonlinear stretching sheet. Viscous and Joule dissipation are incorporated in the energy equation. An accurate numerical solution of highly nonlinear partial differential equations, describing the flow, heat and mass transfer, by a new Spectral Paired Quasi-linearization method is obtained and effect of various physical parameters such as hall current parameter, radiation parameter, Eckert number, Prandtl number, Lewis number, thermophoresis parameter and Brownian motion parameter on the thermal, hydro-magnetic and concentration boundary layers are observed. The analysis shows that variation of different thermo-magnetic parameter induces substantial impression on the behaviour of temperature and nanoparticle distribution. Thermal boundary layer is greatly affected by conduction radiation parameter.
https://jacm.scu.ac.ir/article_14156_19e6bebc20e6f3d8b99f53b6905dc8f7.pdf
2019-10-01
849
860
10.22055/jacm.2019.27800.1435
Magnetic field
Casson Nanofluid
Mixed convection
Non-uniform heat source/sink
Paired quasi-linearization method (PQLM)
Mumukshu
Trivedi
mumukshu.tphd15@sot.pdpu.ac.in
1
Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar- 382007, India
AUTHOR
O.
Otegbeye
muyiwabowen@yahoo.com
2
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, South Africa
AUTHOR
Md. S.
Ansari
shariffuddin@gmail.com
3
Department of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar- 382007, India
LEAD_AUTHOR
Sandile S.
Motsa
sandilemotsa@gmail.com
4
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, South Africa
AUTHOR
[1] Turkyilmazoglu, M., Mixed convection flow of magnetohydrodynamic micropolar fluid due to a porous heated/cooled deformable plate: exact solutions, International Journal of Heat and Mass Transfer, 106, 2017, 127-134.
1
[2] Turkyilmazoglu, M., Analytical solutions to mixed convection MHD fluid flow induced by a nonlinearly deforming permeable surface, Communications in Nonlinear Science and Numerical Simulation, 63, 2018, 373-379.
2
[3] Shit, G.C., Haldar, R., Combined Effects of Thermal Radiation and Hall Current on MHD Free-Convective Flow and Mass Transfer over a Stretching Sheet with Variable Viscosity, Journalof Applied Fluid Mechanics, 5(2), 2012, 113-121.
3
[4] Salem, A.M., Abd el Aziz, M., Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption, Applied Mathematical Modelling, 32, 2008, 1236-1254.
4
[5] Sreedevi, R., Rao, R.R., Prasad Rao, D.R.V., Chamkha, A.J., Combined influence of radiation absorption and Hall current effects on MHD double-diffusive free convective flow past a stretching sheet, Ain Shams Engineering Journal, 7(1), 2016, 383-397.
5
[6] Su, X., Hall and ion-slip effects on the unsteady MHD mixed convection of Cu-water nanofluid over a vertical stretching plate with convective heat flux, Indian Journal of Pure and Applied Physics, 55, 2017, 564- 573.
6
[7] Prasad, K.V., Vajravelu, K., Vaidya, H., Hall Effect on MHD Flow and Heat Transfer over a Stretching Sheet with Variable Thickness, International Journal Computational Methods in Engineering Science and Mechanics, 17(4), 2016, 288-297.
7
[8] Abd el Aziz M., Flow and heat transfer over an unsteady stretching surface with Hall Effect, Meccanica, 45(1), 2010, 97-109.
8
[9] Vajravelu, K., Prasad, K.V., Vaidya, H., Influence of Hall Current on MHD Flow and Heat Transfer over a slender stretching sheet in the presence of variable fluid properties, Communications in Numerical Analysis, 2016(1), 2016, 17-36.
9
[10] Ali, M., Alam, M.S., Soret and Hall effect on MHD flow heat and mass transfer over a vertical stretching sheet in a porous medium due to heat generation, ARPN Journal of Engineering and Applied Science, 9(3), 2014, 361-371.
10
[11] Pal, D., Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation, Computers and Mathematics with Applications, 66(7), 2013, 1161-1180.
11
[12] Shateyi, S., Marewo, G.T., On a new numerical analysis of the Hall effect on MHD flow and heat transfer over an unsteady stretching permeable surface in the presence of thermal radiation and heat source/sink, Boundary Value Problems, 2014, 2014, 170.
12
[13] Sheikholeslami, M., Rokni, H.B., Effect of melting heat transfer on nanofluid flow in existence of magnetic field considering Buongiorno Model, Chinese Journal of Physics, 55(4), 2017, 1115-1126.
13
[14] Sheikholeslami, M., New computational approach for energy and entropy analysis of nanofluid under the impact of Lorentz force through a porous media, Computer Methods in Applied Mechanics and Engineering, 344, 2019, 319-333.
14
[15] Sheikholeslami, M., Shehzad, S.A., Li, Z., Shafee, A., Numerical modeling for alumina nanofluid magnetohydrodynamic convective heat transfer in a permeable medium using Darcy law, International Journal of Heat and Mass Transfer, 127, 2018, 614-622.
15
[16] Sheikholeslami, M., Rokni, H.B., Magnetic nanofluid flow and convective heat transfer in a porous cavity considering Brownian motion effects, Physics of Fluids, 30(1), 2018, 012003.
16
[17] Sheikholeslami, M., Application of Darcy law for nanofluid flow in a porous cavity under the impact of Lorentz forces, Journal of Molecular Liquids, 266, 2018, 495-503.
17
[18] Sheikholeslami, M., Numerical approach for MHD Al2O3-water nanofluid transportation inside a permeable medium using innovative computer method, Computer Methods in Applied Mechanics and Engineering, 344, 2019, 306-318.
18
[19] Sheikholeslami, M., Numerical investigation of MHD nanofluid free convective heat transfer in a porous tilted enclosure, Engineering Computations, 34(6), 2017, 1939-1955.
19
[20] Turkyilmazoglu, M., Buongiorno Model in a nanofluid filled asymmetric channel fulfilling zero net particle flux at the walls, International Journal of Heat and Mass Transfer, 126, 2018, 974-979.
20
[21] Abd el-Aziz, M., Effects of Hall current on the flow and heat transfer of a nanofluid over a stretching sheet with partial slip, International Journal of Modern Physics C, 24(7), 2013, 1350044.
21
[22] Su, X., Zheng, L., Hall effect on MHD flow and heat transfer of nanofluids over a stretching wedge in the presence of velocity slip and Joule heating, Central European Journal of Physics, 11(12), 2013, 1694-1703.
22
[23] Abdel-Wahed, M., Akl, M., Effect of hall current on MHD flow of a nanofluid with variable properties due to a rotating disk with viscous dissipation and nonlinear thermal radiation, AIP Advances, 6, 2016, 095308.
23
[24] Makinde, O.D., Iskander, T., Mabood, F., Khan, W.A., Tshehla, M.S., MHD Couette- Poiseuille flow of variable viscosity nanofluids in a rotating permeable channel with Hall effects, Journal of Molecular liquids, 221, 2016, 778-787.
24
[25] Hayat, T., Shafique, M., Tanveer, A., Alsaedi, A.,Hall and ion slip effects on peristaltic flow of Jeffrey nanofluid with Joule heating,Journal of Magnetism and Magnetic Materials, 407, 2016, 51.
25
[26] Gireesha, B.J., Mahanthesh, B., Krupalakshmi, K.L., Hall effect on two- phase radiated flow of magneto-dusty-nanoliquid with irregular heat generation/ consumption, Results in Physics, 7, 2017, 4340-4348.
26
[27] Ullah, I., Bhattacharyya, K, Shafie, S., Khan, I., Unsteady MHD Mixed Convection Slip Flow of Casson Fluid over Nonlinearly Stretching Sheet Embedded in a Porous Medium with Chemical Reaction, Thermal Radiation, Heat Generation/ Absorption and Convective Boundary Conditions, PLoS ONE, 11(10), 2016, e0165348.
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[28] Nadeem S., Ul Haq, R., Akbar, N.S., MHD three-dimensional boundary layer flow of Casson nanofluid past a linearly stretching sheet with convective boundary condition, IEEE Transactions on Nanotechnology, 13, 2014, 109-115.
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[29] Hussain, T., Shehzad, S.A., Alsaedi, A., Hayat, T., Ramzan, M., Flow of Casson nanofluid with viscous dissipation and convective conditions: a mathematical model, Journal of Central South University, 22, 2015, 1132-1140.
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[30] Mustafa, M., Khan, J. A., Model for flow of Casson nanofluid past a non-linearly stretching sheet considering magnetic field effects, AIP Advances, 5, 2015, 077148.
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[31] Ullah, I., Khan, I. Shafie, S., MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet Through Porous Medium with Chemical Reaction and Thermal Radiation, Nanoscale Research Letters, 11, 2016, 527.
31
[32] Ibrahim, W., Makinde, O.D., Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Casson Nanofluid Past a Stretching Sheet with Slip and Convective Boundary Condition, Journal of Aerospace Engineering, 29(2), 2016, 04015037.
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[33] Sulochana, C., Ashwinkumar, G.P., Sandeep, N., Similarity solution of 3D Casson nanofluid flow over a stretching sheet with convective boundary conditions, Journal of Nigerian Mathematical Society, 35, 2016, 128-141.
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[34] Hayat, T., Aziz, A., Muhammad, T., Alsaedi, A., Active and passive controls of Jeffrey nanofluid flow over a nonlinear stretching surface, Results in Physics, 7, 2017, 4071-4078.
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[36] Kuznetsov, A.V., Nield, D.A., Natural convective boundary-layer flow of a nanofluid past a vertical plate, International Journal of Thermal Sciences, 49, 2010, 243-247.
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[37] Rahman, M.M., Eltayeb, I.A., Radiative heat transfer in a hydromagnetic nanofluid past a non-linear stretching surface with convective boundary condition, Meccanica, 48, 2013, 601-615.
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[38] Gireesha, B.J., Krishnamurthy, M.R., Prasannakumara, B.C., Gorla, R.S.R., MHD flow and non-linear radiative heat transfer of a Casson nanofluid past a nonlinearly stretching sheet in the presence of a chemical reaction, Nanoscience and Technology: An International Journal, 9 (3), 2018, 207-229.
38
[39] Hayat, T., Qayyum, S., Alsaedi, A., Asghar, S., Radiation effects on the mixed convection flow induced by an inclined stretching cylinder with non-uniform heat source/sink, PLoS One, 12(4), 2017, e0175584.
39
[40] Motsa, S.S., Animasaun, I.L., Paired quasi-linearization analysis of heat transfer in unsteady mixed convection nanofluid containing both nanoparticles and gyrotactic microorganisms due to impulsive motion, Journal of Heat Transfer, 138(11), 2016, 114503.
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44
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45
ORIGINAL_ARTICLE
Numerical Analysis of the Effect of External Circumferential Elliptical Cracks in Transition Thickness Zone of Pressurized Pipes Using XFEM
The present work investigates the effect of the elliptical three-dimensional (3D) cracks on a pipe with thickness transition, considering internal pressure. Level sets were defined using the extended finite element method (XFEM), the stress intensity factors (SIFs) of 3D cracks were investigated and compared between straight pipes and pipes with thickness transition. The results show that the XFEM is an effective tool for modeling crack in pipes. A pressurized pipe with thickness transition is more sensitive to the feature compared to the straight pipe. Parameters of the transition zone have an influence on stress intensity factors. Quantification of the SIFs associated with cracks in the transition zone of pipes with thicknesses is performed.
https://jacm.scu.ac.ir/article_14293_38e4142b239c2df9d17c5e0f0120ccf9.pdf
2019-10-01
861
874
10.22055/jacm.2019.28043.1452
Pressurized equipment
Pipe with thickness transition
Three-dimensional crack
XFEM
SIF
Level set
Houda
Salmi
houda.salmi111@gmail.com
1
National Higher School of Mechanics, ENSEM, Laboratory of Control and Mechanical Characterization of Materials and Structures, Casablanca, Morocco
LEAD_AUTHOR
Khalid
El Had
elhad_khalid@hotmail.com
2
Institute of Maritims Studies, Laboratory of Materials and Structures, Casablanca, Morocco
AUTHOR
Hanan
El Bhilat
hanan.el.bhilat@gmail.com
3
National Higher School of Mechanics, ENSEM, Laboratory of Control and Mechanical Characterization of Materials and Structures, Casablanca, Morocco
AUTHOR
Abdelilah
Hachim
abdelilah.hachim@gmail.com
4
Institute of Maritims Studies, Laboratory of Materials and Structures, Casablanca, Morocco
AUTHOR
[1] Moustabchir, H., Elhakimi, A., Hariri, S., Azari,Z., Pressure study of gas transport pipes, in the presence of defects notch type, 18 ème Congrès Français de Mécanique, Grenoble, 2007, 27-31.
1
[2] https://fr.wikipedia.org/wiki/Explosion_de_gaz_de_Ghislenghien.
2
[3] Hariri, S., El Hakimi, A., Azari, Z., Etude numérique et expérimentale de la nocivité des défauts dans des coques cylindriques et sphériques : aide à la détermination des facteurs de contraintes, Revue de Mécanique Appliquée et Théorique, 1(10), 2008, 1-10.
3
[4] Xiao, Z., Zhang, Y., Luo, J., Fatigue crack growth investigation on offshore pipelines with three-dimensional interacting cracks, Geoscience Frontiers, 9(6), 2018, 1689-1698.
4
[5] Idapalapati, S., Xiao, Z.M., Yi, D., Kumar, S.B., Fracture analysis of girth welded pipelines with 3D embedded cracks subjected to biaxial loading conditions, Engineering Fracture Mechanics, 96, 2012, 570-587.
5
[6] Broek, D., Elementary engineering fracture mechanics, Dordrecht: Kluwer, 1991.
6
[7] Gdoutos, E.E., Fracture mechanics-an introduction, Dordrecht: Kluwer, 1991.
7
[8] Le Grognec, P., Hariri, S., Afzali, M., Jaffal, H., Nocivité des défauts et propagation de fissures dans les équipements sous pression, 18 ème Congrès Français de Mécanique, 2007.
8
[9] Sabokrouh, M., Farahani, M., Experimental Study of the Residual Stresses in Girth Weld of Natural Gas Transmission Pipeline, Journal of Applied and Computational Mechanics, 5(2), 2019, 199-206.
9
[10] Vakili Tahami, F., Biglari, H., Raminnea, M., Optimum Design of FGX-CNT-Reinforced Reddy Pipes Conveying Fluid Subjected to Moving Load, Journal of Applied and Computational Mechanics, 2(4), 2016, 243-253.
10
[11] The French Alternative Energies and Atomic Energy Commission (CEA). ‘Commissariat a` L’Energie Atomique (France).
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[12] http://www-cast3m.cea.fr/.
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[13] Chapuliot, S., Lacire, M.H., Stress intensity factors for external circumferential cracks in tubes over a wide range of radius over thickness ratios. American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication), 365, 1999, 95-106.
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[14] Saffih, A., Hariri, S., Numerical study of elliptical cracks in cylinders with a thickness transition, International Journal of Pressure Vessels and Piping, 83, 2006, 35-41.
14
[15] Le Delliou, Calcul simplifié du paramètre J pour un défaut axisymétrique débouchant en surface externe d’une transition d’épaisseur.
15
[16] Moës, N., Gravouil, A., Belytschko, T., Non-planar 3D crack growth by the extended finite element and level sets; Part I:
16
Mechanical model, International Journal for Numerical Methods in Engineering, 53, 2002, 2549-2568.
17
[17] Medinas, M.T.L.F., An Extended Finite Element Method (XFEM) approach to hydraulic fractures: Modelling of oriented perforations, Master Thesis, Tecnico Lisboa, 2015.
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[18] Belytschko, T., Black, T., Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, 45, 1999, 601–620.
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[19] Stolarska, M., Chopp, D., Moes, N., Belytschko, T., Modelling crack growth by level sets in the extended finite element method, International Journal for Numerical Methods in Engineering, 51, 2001, 943–960.
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[20] Kamal Sharma, I., Singh, V., Mishra, B.K., Bhasin, V., Numerical Modeling of Part-Through Cracks in Pipe and Pipe Bend using XFEM, Procedia Materials Science, 6, 2014, 72-79.
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[21] Kumar, S., Singh, I.V., Mishra, B.K., A coupled finite element and element-free Galerkin approach for the simulation of stable crack growth in ductile materials, Theoretical and Applied Fracture Mechanics, 70, 2014, 49-58.
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26
[26] French construction code. Construction des Appareils à Pression non soumis à l’action de la flamme, ‘the Code for Construction of unfired Pressure Vessels, Division 1, part C – design and calculation, section C2 – rules for calculating cylindrical, spherical and conical shell subjected to internal pressure, 2005, 539-622.
27
ORIGINAL_ARTICLE
On Bending Response of Doubly Curved Laminated Composite Shells Using Hybrid Refined Models
This paper presents a static analysis of laminated composite doubly-curved shells using refined kinematic models with polynomial and non-polynomial functions recently introduced in the literature. To be specific, Maclaurin, trigonometric, exponential and zig-zag functions are employed. The employed refined models are based on the equivalent single layer theories. A simply supported shell is subjected to different mechanical loads, specifically: bi-sinusoidal, uniform, patch, hydrostatic pressure and point load. The governing equations are derived from the Principle of Virtual displacement and solved via Navier-Type closed form solutions. The results are compared with results from Layer-wise solutions and different higher order shear deformation theories available. It is shown that refined models with non-polynomial terms are able to accurately predict the through-the-thickness displacement and stress distributions maintaining less computational effort compared to a Layer-wise models.
https://jacm.scu.ac.ir/article_14263_464f93f56f736b678cf0b8c59414f8db.pdf
2019-10-01
875
899
10.22055/jacm.2019.27297.1397
Shell
Laminated composite
Carrera Unified Formulation (CUF)
Doubly-curvature
J.C.
Monge
joao.monge@utec.edu.pe
1
Faculty of Mechanical Engineering, National University of Engineering, Av. Tupac Amaru 210, Rimac, Lima, Peru
AUTHOR
J.L.
Mantari
jmantaril@uni.edu.pe
2
Faculty of Mechanical Engineering, National University of Engineering, Av. Tupac Amaru 210, Rimac, Lima, Peru
LEAD_AUTHOR
J.
Yarasca
jorgeyarasca@gmail.com
3
Faculty of Mechanical Engineering, National University of Engineering, Av. Tupac Amaru 210, Rimac, Lima, Peru
AUTHOR
R.A.
Arciniega
roman.arciniega@upc.pe
4
Department of Civil Engineering, Universidad Peruana de Ciencias Aplicadas (UPC), Surco, Lima, Peru
AUTHOR
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[14] Mantari, J.L., Guedes Soares, C., Analysis of isotropic and multilayered plates and shells by using a generalized higher order shear deformation theory. Composite Structures, 94, 2012, 2640-2656.
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[15] Thai, H.T., Ngugen, T.K., Vo, T.P., Ngo, T., A new simple shear deformation theory. Composite Structures, 171, 2017, 277-285.
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[23] Chen, H., Wang, A., Hao, Y., Zhang, W., Free vibration of FGM sandwich doubly curved shallow shell based on a new shear deformation theory with stretching effects. Composite Structures, 179, 2017, 50-60.
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63
ORIGINAL_ARTICLE
Vibration and Buckling Analysis of Functionally Graded Flexoelectric Smart Beam
In this paper, the buckling and vibration behaviour of functionally graded flexoelectric nanobeam is examined. The vibration and buckling formulations of functionally graded nanobeam are developed by using a new theory that’s presented exclusively for flexoelecteric nano-materials. So by considering Von-Karman strain and forming enthalpy equation based on displacement, polarization and electric potential, electromechanical coupling equations are developed base on Hamilton’ principle. By considering boundary condition of simply support and clamped-clamped and also Euler-Bernoulli beam model, pre-buckling, buckling and the vibration behavior of functionally graded nanobeam affected by flexoelectric will be investigated.
https://jacm.scu.ac.ir/article_14245_2a68e1edd7373713fc3fc03f435522f2.pdf
2019-10-01
900
917
10.22055/jacm.2019.27857.1439
Flexoelectric effect
Functionally graded nanobeam
Piezoelectric effect
Size-dependent
Euler-Bernoulli beam model
Milad
Esmaeili
milad90@hotmail.com
1
Mechanical Engineering Department, Faculty of Engineering, Shahrekord University, Shahrekord, Iran
AUTHOR
Yaghoub
Tadi Beni
tadi@eng.sku.ac.ir
2
Mechanical Engineering Department, Faculty of Engineering, Shahrekord University, Shahrekord, Iran
LEAD_AUTHOR
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59
ORIGINAL_ARTICLE
Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping
Transversal vibrations of an axially moving string under boundary damping are investigated. Mathematically, it represents a homogenous linear partial differential equation subject to nonhomogeneous boundary conditions. The string is moving with a relatively (low) constant speed, which is considered to be positive. The string is kept fixed at the first end, while the other end is tied with the spring-dashpot system. The asymptotic approximations for the solution of the equations are obtained by application of two time-scale perturbation technique and the characteristic coordinates method. The vertical displacement of the moving system under boundary damping is computed by using specific initial conditions. It is shown that how the introduced damping at the boundary may affect the vertical displacement of the axially moving system.
https://jacm.scu.ac.ir/article_14288_a94764af63010312a7e43c6d36a1c4cd.pdf
2019-10-01
918
925
10.22055/jacm.2019.28331.1477
Axially moving string
Boundary damping
Two time-scale perturbation
Characteristic coordinates
Rajab A.
Malookani
rajab_ali31@yahoo.com
1
Department of Mathematics and Statistics, Faculty of Science, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, 67480, Sindh, Pakistan
LEAD_AUTHOR
Sanaullah
Dehraj
sanaullahdehraj@gmail.com
2
Department of Mathematics and Statistics, Faculty of Science, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, 67480, Sindh, Pakistan
AUTHOR
Sajad H.
Sandilo
s.h.sandilo@quest.edu.pk
3
Department of Mathematics and Statistics, Faculty of Science, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, 67480, Sindh, Pakistan
AUTHOR
[1] Miranker, W.L., The wave equation in a medium in motion. IBM Journal of Research and Development, 4(1), 1960, 36-42.
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2
[3] Malookani, R.A., van Horssen, W.T., On resonances and the applicability of Galerkin’s truncation method for an axially moving string with time-varying velocity. Journal of Sound and Vibration, 344, 2015, 1-17.
3
[4] Malookani, R.A., van Horssen, W.T., On the asymptotic approximation of the solution of an equation for a non-constant axially moving string. Journal of Sound and Vibration, 367, 2016, 203-218.
4
[5] Gaiko, N.V., van Horssen, W.T., On the transverse, low frequency vibrations of a traveling string with boundary damping. Journal of Vibration and Acoustics, 137(4), 2015, 041004-041014.
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[6] Sandilo, S.H., van Horssen, W.T., On a cascade of autoresonances of an elevator cable system. Nonlinear Dynamics, 80(3), 2015, 1613–1630.
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[8] Darmawijoyo, van Horssen, W.T., Celement, PH., On a Rayleigh wave equation with boundary damping. Nonlinear Dynamics, 33, 2003, 399–429.
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[9] Gaiko, N.V., Transverse waves and vibrations in axially moving continua. PhD thesis, TU Delft, 2017.
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[10] Fung, R.F., Huang, J.S., Chen, Y.C., The transient amplitude of the viscoelastic traveling string: an integral constitutive law. Journal of Sound and Vibration, 201, 1997, 153–167.
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[11] Mahalingam, S., Transverse vibrations of power transmission chains. British Journal of Applied Physics, 8(4), 1957, 145–148.
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[13] Maitlo, A.A, Sandilo, S.H., Shaikh, A.H., Malookani, R.A., Qureshi, S., On aspects of viscous damping for an axially transporting string. Science International, 28(4), 2016, 3721-3727.
13
[14] Suweken, G., van Horssen, W.T., On the transversal vibrations of a conveyor belt with a low and time-varying velocity. Part I: the string-like case. Journal of Sound and Vibration, 264(1), 2003, 117–133.
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[15] Ponomareva, S.V., van Horssen, W.T., On the transversal vibrations of an axially moving string with a time-varying velocity. Nonlinear Dynamics, 50(1-2), 2007, 315–323.
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[16] Ghayesh, M.H., Nonlinear transversal vibration and stability of an axially moving viscoelastic string supported by a partial viscoelastic guide. Journal of Sound and Vibration, 314, 2008, 757-774.
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[17] Shahruz, S.M., Stability of a nonlinear axially moving string with the Kelvin-Voigt damping. Journal of Vibration and Acoustics, 131(1), 2009, 014501.
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[18] Chen, W.E., Ferguson, N.S., Analysis of energy dissipation in an elastic moving string with a viscous damper at one end. Journal of Sound and Vibration, 333(9), 2014, 2556–2570.
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[19] Zhang, L., Zu, J.W., Nonlinear vibrations viscoelastic moving belts, Part 1: Free Vibration analysis. Journal of Sound and Vibration, 216(1), 1998, 75-91.
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[20] Archibald, F.R., Emslie, A.G., The Vibration of a String Having a Uniform Motion along Its Length. Journal of Applied Mechanics, 25(3), 1958, 347–348.
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[21] Thurman, A.L., Mote, C.D., Free, periodic, nonlinear oscillation of an axially moving strip. Journal of Applied Mechanics, 36, 1969, 83-91.
21
[22] Sandilo, S.H., van Horssen, W.T., On boundary damping for an axially moving tensioned beam. Journal of Vibration and Acoustics, 134(1), 2012, 011005.
22
[23] Sandilo, S.H., Malookani, R.A., Shaikh A.H., On oscillations of an axially translating tensioned beam under viscous damping. Science International, 28(4), 2016, 4123-4127.
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[24] Jones, D.I., Handbook of viscoelastic vibration damping, Wiley, New York, 2001.
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[25] Nayfeh, A.H., Perturbation Methods. John Wiley and Sons, New York, 2000.
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[26] Kevorkian, J., Cole, J.D., Multiple Scale and Singular Perturbation, Springer, 1996.
26
ORIGINAL_ARTICLE
Love Wave Propagation in a Fiber-reinforced Layer with Corrugated Boundaries Overlying Heterogeneous Half-space
Love-type wave generation in a fiber-reinforced medium placed over an inhomogeneous orthotropic half-space is analysed. The upper and lower boundary surfaces of the fiber reinforced medium are periodically corrugated. Inhomogeneity of half-space is caused by variable density and variable shear modules. Displacement components for layer and half-space are derived by applying separable variable technique. Dispersion relation for Love wave is obtained in closed form. Numerical calculations for the achieved dispersion equation are performed. In the numerical examples, the main attention is focused on the effect of corrugation investigation, reinforced parameters and inhomogeneity on the relations between wave number and phase velocity.
https://jacm.scu.ac.ir/article_14167_56b66a82400cb36d1ef1078574066da0.pdf
2019-10-01
926
934
10.22055/jacm.2019.27062.1413
Love wave
Fiber-reinforced
Inhomogeneous
Corrugation
Anand
Mandi
anand.mandi@gmail.com
1
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), India
LEAD_AUTHOR
Santimoy
Kundu
kundu_santi@yahoo.co.in
2
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), India
AUTHOR
Prasenjit
Pati
prasenjitpati@gmail.com
3
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), India
AUTHOR
Prakash Chandra
Pal
pcpal_ism@yahoo.co.in
4
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), India
AUTHOR
[1] Ewing, W.M., Jardetzky, W.S., Press, F., Beiser, A., Elastic waves in layered media, Physics Today, 10(12), 1957, 27p.
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[4] Park, S.J., Seo, M.K., Interface science and composites, Academic Press, 2011.
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[5] Pipkin, A.C., Rogers, T.G., Plane deformations of incompressible fiber-reinforced materials, Journal of Applied Mechanics, 38(3), 1971, 634-640.
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[6] Belfield, A.J., Rogers, T.G., Spencer, A.J., Stress in elastic plates reinforced by fibres lying in concentric circles, Journal of the Mechanics and Physics of Solids, 31(1), 1983, 25-54.
6
[7] Upadhyay, S.K., Love wave propagation in anisotropic inhomogeneous medium: Elastic parameters for equivalent isotropic case, Pure and Applied Geophysics, 81(1), 1970, 45-50.
7
[8] Nayfeh, A.H., Chimenti, D.E., Propagation of guided waves in fluid‐coupled plates of fiber‐reinforced composite, The Journal of the Acoustical Society of America, 83(5), 1988, 1736-43.
8
[9] Pradhan, A., Samal, S.K., Mahanti, N.C., Influence of anisotropy on the love waves in a self-reinforced medium, Tamkang Journal of Science and Engineering, 6(3), 2003, 173-178.
9
[10] Ranjan, C., Samal, S.K., Love waves in the fiber-reinforced layer over a gravitating porous half space, Acta Geophysica, 61(5), 2013, 1170-1183.
10
[11] Khan, A., Abo-Dahab, S.M., Abd-Alla, A.M., Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids, International Journal of Physical Sciences, 10(24), 2015, 604-13.
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[12] Abd-Alla, A.M., Abo-Dahab, S.M., Khan, A., Rotational effect on Thermoelastic Stoneley, Love and Rayleigh waves in fibre-reinforced anisotropic general viscoelastic media of higher order, Structural Engineering and Mechanics, 61(2), 2017, 221-230.
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[13] Vishwakarma, S.K., Torsional wave propagation in a self-reinforced medium sandwiched between a rigid layer and a viscoelastic half space under gravity, Applied Mathematics and Computation, 242, 2014, 1-9.
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[14] Samal, S.K., Chattaraj, R., Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space and uniform liquid layer, Acta Geophysica, 59(3), 2011, 470-82.
14
[15] Manna, S., Kundu, S., Gupta, S., Love wave propagation in a piezoelectric layer overlying in an inhomogeneous elastic half-space, Journal of Vibration and Control, 21(13), 2015, 2553-68.
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[16] Sahu, S.A., Saroj, P.K., Paswan, B., Shear waves in a heterogeneous fiber-reinforced layer over a half-space under gravity, International Journal of Geomechanics, 15(2), 2014, 04014048.
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[17] Deresiewicz, H., A note on Love waves in a homogeneous crust overlying an inhomogeneous substratum, Bulletin of the Seismological Society of America, 52(3), 1962, 639-45.
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[18] Ke, L.L., Wang, Y.S., Zhang, Z.M., Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties, Soil Dynamics and Earthquake Engineering, 26(6-7), 2006, 574-81.
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[19] Asano, S., Reflection and refraction of elastic waves at a corrugated interface, Bulletin of the Seismological Society of America, 56(1), 1966, 201-21.
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[20] Singh, S.S., Tomar, S.K., qP-wave at a corrugated interface between two dissimilar pre-stressed elastic half-spaces, Journal of Sound and Vibration, 317(3-5), 2008, 687-708.
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[21] Chow, T.S., On the propagation of flexural waves in an orthotropic laminated plate and its response to an impulsive load, Journal of Composite Materials, 5(3), 1971, 306-19.
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[22] Destrade, M., Surface waves in orthotropic incompressible materials, The Journal of the Acoustical Society of America, 110(2), 2001, 837-40.
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[23] Ahmed, S.M., Abo-Dahab, S.M., Propagation of Love waves in an orthotropic granular layer under initial stress overlying a semi-infinite granular medium, Journal of Vibration and Control, 16(12), 2010, 1845-58.
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[24] Abd-Alla, A.M., Ahmed, S.M., Propagation of Love waves in a non-homogeneous orthotropic elastic layer under initial stress overlying semi-infinite medium, Applied Mathematics and Computation, 106(2-30), 1999, 265-75.
24
[25] Lotfy, K., Abo-Dahab, S.M., Hobiny, A.D., Plane waves on a gravitational rotating fibre-reinforced thermoelastic medium with thermal shock problem, Journal of Advanced Physics, 7(1), 2018, 58-69.
25
[26] Abo-Dahab, S.M., Surface waves in fiber-reinforced anisotropic general viscoelastic media of higher orders with voids, rotation, and electromagnetic field, Mechanics of Advanced Materials and Structures, 25(4), 2018, 319-34.
26
[27] Singh, A.K., Das, A., Kumar, S., Chattopadhyay, A., Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on Love-type wave propagation, Meccanica, 50(12), 2015, 2977-94.
27
[28] Vinh, P.C., Anh, V.T., Linh, N.T., On a technique for deriving the explicit secular equation of Rayleigh waves in an orthotropic half-space coated by an orthotropic layer, Waves in Random and Complex Media, 26(2), 2016, 176-88.
28
[29] Vishwakarma, S.K., Kaur, R., Panigrahi, T.R., Love wave frequency in an orthotropic crust over a double-layered anisotropic mantle, Soil Dynamics and Earthquake Engineering, 110, 2018, 86-92.
29
[30] Kakar, R., Kakar, S., Dispersion of torsional surface wave in an intermediate vertical prestressed inhomogeneous layer lying between heterogeneous half spaces, Journal of Vibration and Control, 23(19), 2017, 3292-305.
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[31] Sahu, S. A., Nirwal, S., An asymptotic approximation of Love wave frequency in a piezo-composite structure, WKB approach, Waves in Random and Complex Media, 2019, doi: 10.1080/17455030.2019.1567955.
31
[32] Spencer, A.J., Deformations of fibre-reinforced materials, Clarendon Press, 1972.
32
[33] Biot, M.A., Mechanics of incremental deformations, Wiley, 1965.
33
[34] Prosser, W.H., Green, Jr. R.E., Characterization of the nonlinear elastic properties of graphite/epoxy composites using ultrasound, Journal of Reinforced Plastics and Composites, 9, 1990, 162-73.
34
[35] Markham, M.F., Measurement of the elastic constants of fibre composites by ultrasonics, Composites, 1(2), 1969, 145-149.
35
ORIGINAL_ARTICLE
Analysis of the Coupled Nonlinear Vibration of a Two-Mass System
This paper presents a fixed-end two-mass system (TMS) with end constraints that permits uncoupled solutions for different masses. The coupled nonlinear models for the present fixed-end TMS were solved using the continuous piecewise linearization method (CPLM) and detailed investigation on the effect of mass-ratio on the TMS response was conducted. The investigations showed that increased mass-ratio leads to decreased oscillation frequency and an asymptotic response was obtained at very large mass-ratios. Theoretical solutions to determine the asymptotic response were derived. Also, it was observed that distinct responses can be obtained for the same mass-ratio depending on the mass combination in the TMS. The present fixed-end TMS and the analyses presented give a broader understanding of fixed-end TMS.
https://jacm.scu.ac.ir/article_14262_4a21619e07808d81ab4e4516f8d80dd2.pdf
2019-10-01
935
950
10.22055/jacm.2019.28296.1474
Continuous piecewise linearization method
Two-mass system
Cubic Duffing oscillator
Coupled nonlinear vibration
Akuro
Big-Alabo
akuro.big-alabo@uniport.edu.ng
1
Department of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Rivers State, Nigeria
LEAD_AUTHOR
Chinwuba
Ossia
ossiacv@otiuniport.org
2
Department of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Rivers State, Nigeria
AUTHOR
[1] Cveticanin, L., Vibrations of a coupled two-degree-of-freedom system, Journal of Sound and Vibration, 247(2), 2001, 279-292.
1
[2] Cveticanin, L., The motion of a two-mass system with non-linear connection, Journal of Sound and Vibration, 252(2), 2002, 361-369.
2
[3] Lai, S.K., Lim, C.W., Nonlinear vibration of a two-mass system with nonlinear stiffnesses, Nonlinear Dynamics, 44, 2007, 233-249.
3
[4] Hashemi Kachapi SHA., Dukkipati, R.V., Hashemi, K.S.Gh., Hashemi, K.S.Mey., Hashemi, K.S.Meh., Hashemi, K.SK., Analysis of the nonlinear vibration of a two-mass-spring system with linear and nonlinear stiffness, Nonlinear Analysis: Real World Applications, 11, 2010, 1431-1441.
4
[5] Bayat, M., Shahidi, M., Barari, A., Ganji D., Analytical Evaluation of the Nonlinear Vibration of Coupled Oscillator Systems, Z. Naturforsch., 66a, 2011, 67-74.
5
[6] Ganji, S.S., Barari, A., Ganji, D.D., Approximate analysis of two-mass–spring systems and buckling of a column, Computers and Mathematics with Applications, 61, 2011, 1088-1095.
6
[7] Cveticanin, L., KalamiYazdi, M., Saadatnia, Z., Vibration of a two-mass system with non-integer order nonlinear connection, Mechanics Research Communications, 43, 2012, 22-28.
7
[8] Cveticanin, L., Vibrations of a free two-mass system with quadratic non-linearity and a constant excitation force, Journal of Sound and Vibration, 270, 2004, 441-449.
8
[9] Cveticanin, L., A solution procedure based on the Ateb function for a two-degree-of-freedom oscillator, Journal of Sound and Vibration, 346, 2015, 298-313.
9
[10] Big-Alabo, A., Periodic solutions of Duffing-type oscillators using continuous piecewise linearization method, Mechanical Engineering Research, 8(1), 2018, 41-52.
10
[11] Big-Alabo, A., Harrison P., & Cartmell, M.P., Algorithm for the solution of elastoplastic half-space impact. Force-Indentation Linearization Method, Journal of Mechanical Engineering Sciences, 229(5), 2015, 850-858.
11
[12] Big-Alabo, A., Cartmell, M.P., & Harrison P., On the solution of asymptotic impact problems with significant localised indentation, Journal of Mechanical Engineering Sciences, 231(5), 2017, 807-822.
12
[13] Big-Alabo, A., Rigid body motions and local compliance response during impact of two deformable spheres, Mechanical Engineering Research, 8(1), 2018, 1-15.
13
[14] Big-Alabo, A., Equivalent impact system approach for elastoplastic impact analysis of two dissimilar spheres, International Journal of Impact Engineering, 113, 2018, 168-179.
14
[15] Sanchez, N.E., A view to the new perturbation technique valid for large parameters, Journal of Sound and Vibration, 282, 2005, 1309-1316.
15
[16] Nayfeh, A.H. and Mook, D.T., Nonlinear oscillations, John Wiley & Sons, New York, 1995.
16
[17] Jordan, D.W. and Smith, P., Nonlinear ordinary differential equations: Problems and solutions, Oxford University Press, Oxford, 2007.
17
ORIGINAL_ARTICLE
Heat and Mass Transfer Analysis on MHD Peristaltic Prandtl Fluid Model through a Tapered Channel with Thermal Radiation
This paper deals with a theoretical investigation of heat and mass transfer with thermal radiation analysis on hydromagnetic peristaltic Prandtl fluid model with porous medium through an asymmetric tapered vertical channel under the influence of gravity field. Analytical results are found for the velocity, pressure gradient, pressure rise, frictional force, temperature and concentration. The influence of varied governing parameters is discussed and illustrated diagrammatically through a set of figures. It can be seen that the axial velocity enhances with an increase in gravity parameter. It is observed that the temperature of the fluid reduces within the tapered asymmetric vertical channel by an increase in thermal radiation parameter. Blood flow in concentration profile increases with an increase in thermal radiation parameter. It is worth mentioning that the rate of pumping rises in all the four regions, i.e. retrograde pumping region, peristaltic pumping region, free pumping region and an augmented region with an increase in Prandtl fluid parameter.
https://jacm.scu.ac.ir/article_14148_6505cc1d884af6c0780801157aab81fb.pdf
2019-10-01
951
963
10.22055/jacm.2019.27998.1450
Thermal radiation
MHD
Porous medium
Temperature
Mass transfer
Gravity filed
Ravi
Rajesh
ravirajeshmaths@gmail.com
1
Research Scholar (Reg No: PP.MAT. 0013), Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India
LEAD_AUTHOR
Y.
Rajasekhara Gowd
2
Associate Professor, Humanities and Basic Sciences Department, G.Pulla Reddy Engineering College, Kurnool, Andhra Pradesh, India
AUTHOR
[1] Latham, T. W., Fluid motion in a peristaltic pump. MS. Thesis, Massachusetts Institute of Technology, Cambridge, 1966.
1
[2] Shapiro, A.H., Jaffrin, M.Y., Weinberg, S.L., Peristaltic pumping with long wavelengths at low Reynolds number, Journal of Fluid Mechanics, 37, 1969, 799-825.
2
[3] Parkes, J., Burns, J.C., Peristaltic motion, Journal of Fluid Mechanics, 29, 1967, 731–743.
3
[4] Fung, Y.C., Yih. C.S., Peristaltic transport, Journal of Applied Mechanics Trans. ASME, 5, 1968, 669-675.
4
[5] Zien, T.F., Ostrach, S.A., Long wave length approximation to peristaltic motion, Journal of Biomechanics, 3, 1970, 63.
5
[6] Raju, K.K., Devanathan, R., Peristaltic motion of a non-Newtonian fluid, Rheologica Acta, 11, 1972, 170-179.
6
[7] Srivastava, L.M., Srivastava, V.P., Sinha, N.S., Peristaltic transport of a physiological fluid, Part I, Flow in non-uniform geometry, Biorheology, 29, 1983, 153-166.
7
[8] Xiao, Q., Damodaran, M.A., Numerical investigation of peristaltic waves in circular tubes, International Journal of Computational Fluid Dynamics, 16, 2002, 201–216.
8
[9] Elsehawey, E.F., Sobh, A.M., Peristaltic Viscoelastic Fluid Motion in a Tube, International Journal of Mathematics and Mathematical Sciences, 26, 2001, 21-34.
9
[10] Kalidas, D., Effects of Slip and Heat Transfer on MHD Peristaltic Flow in An Inclined Asymmetric Channel, Iranian Journal of Mathematical Sciences and Informatics, 7(2), 2012, 35-52.
10
[11] Ravikumar, S., Effect of couple stress fluid flow on magnetohydrodynamic peristaltic blood flow with porous medium trough inclined channel in the presence of slip effect-Blood flow study, International Journal of Bio-Science and Bio-Technology,7(5), 2015, 65-84.
11
[12] Ravikumar, S., Effects of the couple stress fluid flow on the magnetohydrodynamic peristaltic motion with a uniform porous medium in the presence of slip effect, Jordan Journal of Mechanical and Industrial Engineering, 9(4), 2015, 269-278.
12
[13] Kothandapani, M., Prakash, J., Pushparaj, V., Analysis of heat and mass transfer on MHD peristaltic flow through a tapered asymmetric channel, Journal of Fluids, 2015, Article ID 561263, 9 p.
13
[14] Gangavathi, P., Subba Reddy, M.V., Ramakrishna, P., Peristaltic flow of a prandtl fluid in an asymmetric channel under the effect of magnetic field, International Journal of Conceptions on Computing and Information Technology, 2(1), 2014, 26-31.
14
[15] Ogulu, T.A., Effect of heat generation on low Reynolds number fluid and mass transport in a single lymphatic blood vessel with uniform magnetic field, International Communications in Heat and Mass Transfer, 33(6), 2006, 790-799.
15
[16] Eldabe, N.T.M., El-Sayed, M.F., Ghaly, A.Y., Sayed, H.M., Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity, Archive of Applied Mechanics, 78(8), 2008, 599-624.
16
[17] Srinivas, S., Kothandapani, M., The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Applied Mathematics and Computation, 213(1), 2009, 197-208.
17
[18] Abbasi, F.M., Hayat, T., Ahmad, B., Chen, B., Peristaltic flow with convective mass condition and thermal radiation, Journal of Central South University, 22, 2015, 2369-2375.
18
[19] Ravikumar, S., Analysis of heat transfer on MHD peristaltic blood flow with porous medium through coaxial vertical tapered asymmetric channel with radiation – Blood flow study, International Journal of Bio-Science and Bio-Technology, 8(2), 2016, 395-408.
19
[20] Hayat, T., SaimaRani, Alsaedi, A., Rafiq, M., Radiative peristaltic flow of magneto nanofluid in a porous channel with thermal radiation, Results in Physics, 7, 2017, 3396-3407.
20
[21] Ramesh, K., Influence of heat and mass transfer on peristaltic flow of a couple stress fluid through porous medium in the presence of inclined magnetic field in an inclined asymmetric channel, Journal of Molecular Liquids, 219, 2016, 256-271.
21
[22] Sheikholeslami, M., Ganji, D.D., Javed, M.Y., Ellahi, R., Effect of thermal radiation on magnetohydrodynamic nanofluid flow and heat transfer by means of two phase model, Journal of Magnetism and Magnetic Materials, 374, 2015, 36-43.
22
[23] Ravikumar, S., Ameer Ahamad, N., Joule heating and mass transfer on MHD peristaltic hemodynamic Jeffery fluid with porous medium in a tapered vertical channel-Blood flow analysis model, International Journal of Bio-Science and Bio Technology, 9(1), 2017, 1-22.
23
[24] Abbasi, F.M., Shehzad, S.A., Convective thermal and concentration transfer effects in hydromagnetic peristaltic transport with Ohmic heating, Journal of Advanced Research, 8(6), 2017, 655-661.
24
[25] Ravikumar, S., Abzal, S.K., Combined influence of hall currents and joule heating on hemodynamic peristaltic flow with porous medium through a vertical tapered asymmetric channel with radiation, Frontiers in Heat and Mass Transfer, 9(19), 2017, 1-9.
25
[26] Ravikumar, S., Study of hall current, radiation and velocity slip on hydromagnetic physiological hemodynamic fluid with porous medium through joule heating and mass transfer in presence of chemical reaction, International Journal of Heat and Technology, 36(2), 2018, 422 -432
26
[27] Zeeshan, A., Ijaz, N., Bhatti, M.M., Flow analysis of particulate suspension on an asymmetric peristaltic motion in a curved configuration with heat and mass transfer, Mechanics & Industry, 19(4), 2018, 401.
27
[28] Rashidi, M.M., Yang, Z., Bhatti, M.M., Abbas, M.A., Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave, Thermal Science, 22(6A), 2018, 2439-2448.
28
[29] Zeeshan, A., Fatima, A., Khalid, F., Bhatti, M.M., Interaction between blood and solid particles propagating through a capillary with slip effects, Microvascular Research, 119, 2018, 38-46
29
[30] Patel, M., Timol, M.G., The stress strain relationship for viscous-inelastic non-Newtonian fluids, International Journal of Applied Mathematics and Mechanics, 6(12), 2010, 79- 93.
30
ORIGINAL_ARTICLE
Numerical and Analytical Approach for Film Condensation on Different Forms of Surfaces
This paper tries to achieve a solution for problems that concern condensation around a flat plate, circular and elliptical tube in by numerical and analytical methods. Also, it calculates entropy production rates. At first, a problem was solved with mesh dynamic and rational assumptions; next it was compared with the numerical solution that the result had acceptable errors. An additional supporting relation is applied based on the characteristic of the condensation phenomenon for condensing elements. As it is shown here, due to higher rates of heat transfer for elliptical tubes, they have more entropy production rates, in comparison to circular ones. Findings showed that the two methods were efficient. Furthermore, analytical methods can be used to optimize the problem and reduce the entropy production rate.
https://jacm.scu.ac.ir/article_14164_2802ab0e97b34884a3153fbf6d189d66.pdf
2019-10-01
964
975
10.22055/jacm.2019.27938.1443
Entropy rate
Analytical solution
Numerical solution
Condensation
Ammar
Kazemi Jouybari
a.jouybari@gmail.com
1
Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran
LEAD_AUTHOR
Arash
Mirabdolah Lavasani
arashlavasani@iauctb.ac.ir
2
Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran
AUTHOR
[1] Khu, C.H., Hung, R.Y., Lin, Y.C., Yang, S.A., Second law analysis of free convection film condensation on an inclined porous elliptical tube, International Journal of Thermal Sciences, 50, 2011, 1333-1338.
1
[2] Esfahani, J.A., Modirkhazeni, M., Entropy generation of forced convection film condensation on a horizontal elliptical tube, Comptes Rendus Mécanique, 340, 2012, 543–551.
2
[3] Yang, S.A., Hsu, C.H., Free and forced convection film condensation from a horizontal elliptical tube with a vertical plate and horizontal tube as special cases, International Journal of Heat and Fluid Flow, 18, 1997, 567–574.
3
[4] Yang, S.A., Chen, C.K., Role of surface tension and ellipticity in laminar film condensation on horizontal elliptical tube, International Journal of Heat and Mass Transfer, 36(12), 1993, 3135–3141.
4
[5] Ali, A.F.M., McDonald, T.W., Laminar film condensation on horizontal elliptical cylinders: A first approximation for condensation on inclined tubes, ASHRAE Transactions, 83, 1977, 242–249.
5
[6] Bejan, A., A study of Entropy generation in fundamental convective heat transfer, Journal of Heat Transfer, 101, 1979, 718–725.
6
[7] Sahin, A.Z., Thermodynamics of laminar viscous flow through a duct subjected to constant heat flux, Energy, 21(12), 1996, 1179–1187.
7
[8] Adeyinka, O.B., Naterer, G.F., Optimization correlation for entropy production and energy availability in film condensation, International Communications in Heat and Mass Transfer, 31(4), 2004, 513–524.
8
[9] Lin, W.W., Lee, D.J., Peng, X.F., Second-law analysis of vapor condensation of FC-22 in film flows within horizontal tubes, Journal of the Chinese Institute of Chemical Engineers, 32, 2001, 89–94.
9
[10] Dung, S.C., Yang, S.A., Second law based optimization of free convection film-wise condensation on a horizontal tube, International Communications in Heat and Mass Transfer, 33, 2006, 636–644.
10
[11] Li, G.C., Yang, S.A., Thermodynamic analysis of free convection film condensation on an elliptical cylinder, Journal of the Chinese Institute of Chemical Engineers, 29(5), 2006, 903-908.
11
[12] Li, Z., Sheikholeslami, M., Jafaryar, M., Shafee, A., Chamkha, A.J., Investigation of nanofluid entropy generation in a heat exchanger with helical twisted tapes, Journal of Molecular Liquids, 266, 2018, 797-805.
12
[13] Vatanmakan, M., Lakzian, E., Mahpeykar, M.R., Investigating the entropy generation in condensing steam flow in turbine blades with volumetric heating, Energy, 147, 2018, 701-714.
13
[14] Jafarmadar, S., Azizinia, N., Razmara, N., Mobadersani, F., Thermal analysis and entropy generation of pulsating heat pipes using nanofluids, International Journal of Applied Thermal Engineering, 103, 2016, 356-364.
14
[15] Malvandi, A., Ganji, D.D., Pop, I., Laminar filmwise condensation of nanofluids over a vertical plate considering nanoparticles migration, International Journal of Applied Thermal Engineering, 100, 2016, 979-986.
15
ORIGINAL_ARTICLE
MHD Flow and Heat Transfer of SiC-TiO2/DO Hybrid Nanofluid due to a Permeable Spinning Disk by a Novel Algorithm
This study intends to semi-analytically investigate the steady 3D boundary layer flow of a SiC-TiO2/DO hybrid nanofluid over a porous spinning disk subject to a constant vertical magnetic field. Here, the novel attitude to single-phase hybrid nanofluid model corresponds to considering nanoparticles and base fluid masses to compute solid equivalent volume fraction, solid equivalent density, and also solid equivalent specific heat at constant pressure. The basic PDEs are transformed into dimensionless ODEs using Von Kármán similarity transformations, which are then solved numerically using bvp4c function. Results indicate that mass suction and magnetic field effects diminish all hydrodynamic and thermal boundary layer thicknesses. Finally, a significant report is presented to investigate quantities of engineering interest due to governing parameters’ effects.
https://jacm.scu.ac.ir/article_14184_159e90ac08a3a34bc30bed92b9d36e7b.pdf
2019-10-01
976
988
10.22055/jacm.2019.27997.1449
3D boundary layer flow
Single-phase hybrid nanofluid
Spinning disk
Semi-analytical modeling
Diathermic oil
Behnam
Fallah
sdsaee@yahoo.com
1
Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran
AUTHOR
Saeed
Dinarvand
saeed_dinarvand@yahoo.com
2
Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran
LEAD_AUTHOR
Mohammad
Eftekhari Yazdi
mo.ef.ya@gmail.com
3
Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran
AUTHOR
Mohammadreza Nademi
Rostami
mohammad.n.rostami@gmail.com
4
Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran
AUTHOR
Ioan
Pop
ioan.pop144@gmail.com
5
Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
AUTHOR
[1] Sobamowo, M.G., Free convection flow and heat transfer of nanofluids of different shapes of nano-sized particles over a vertical plate at low and high Prandtl numbers, Journal of Applied and Computational Mechanics, 5(1), 2019, 13–39.
1
[2] Kezzar, M., Rafik Sari, M., Bourenane, R., Rashidi, M.M., Haiahem, A., Heat transfer in hydro-magnetic nano-fluid flow between non-parallel plates using DTM, Journal of Applied and Computational Mechanics, 4(4), 2018, 352–364.
2
[3] Ghahremani E., Ghaffari, R., Ghadjari, H., Mokhtari, J., Effect of variable thermal expansion coefficient and nanofluid properties on steady natural convection in an enclosure, Journal of Applied and Computational Mechanics, 3(4), 2017, 240–250.
3
[4] Akinshilo, A.T., Sobamowo, G.M., Perturbation solutions for the study of MHD blood as a third grade nanofluid transporting gold nanoparticles through a porous channel, Journal of Applied and Computational Mechanics, 3(2), 2017, 103–117.
4
[5] Ding, Y., Alias, H., Wen, D., Williams, R.A., Heat transfer of aqueous suspensions of carbon nanotubes (CNT nanofluids), International Journal of Heat and Mass Transfer, 49, 2006, 240–250.
5
[6] Minea, A.A., Advances in Industrial Heat Transfer, CRC Press, 2013.
6
[7] Minea, A.A., A review on the thermophysical properties of water-based nanofluids and their hybrids, The Annals of “DUNAREA DE JOS” University of GALATI, 083X, 2016, 35-47.
7
[8] Sidik, C., Azwadi, N., Adamu, I.M., Jamil, M.M., Kefayati, G.H.R., Mamat, R., Najafi, G., Recent progress on hybrid nanofluids in heat transfer applications: A comprehensive review, International Communications in Heat and Mass Transfer, 78, 2016, 68–79.
8
[9] Madhesh, D., Parameshwaran, R., Kalaiselvam, S., Experimental investigation on convective heat transfer and rheological characteristics of Cu-TiO2 hybrid nanofluids, Experimental Thermal and Fluid Science, 52, 2014, 104–115.
9
[10] Senthilaraja, S., Vijayakumar, K., Ganadevi, R., A comparative study on thermal conductivity of Al2O3/water, CuO/water and Al2O3– CuO/water nanofluids, Digest Journal of Nanomaterials and Biostructures, 10, 2015, 1449–1458.
10
[11] Bhosale, G.H., Borse, S.L., Pool Boiling CHF Enhancement with Al2O3-CuO/H2O Hybrid Nanofluid, International Journal of Engineering Research & Technology, 2(10), 2013, 946–950.
11
[12] He, Y., Vasiraju, S., Que L., Hybrid nanomaterial-based nanofluids for micropower generation, RSC Advances, 4, 2014, 2433-2439.
12
[13] Esfe, M.H., Abbasian Arani, A.A., Rezaie, M., Yan, Wei-Mon, Karimipour, A., Experimental determination of thermal conductivity and dynamic viscosity of Ag–MgO/water hybrid nanofluid, International Communications in Heat and Mass Transfer, 66, 2015, 189–195.
13
[14] Syam Sundar, L., Irurueta G.O., Venkata Ramana E., Singh, M,K., Sousa, A.C.M., Thermal conductivity and viscosity of hybrid nanofluids prepared with magnetic nanodiamond-cobalt oxide (ND-Co3O4) nanocomposite, Case Studies in Thermal Engineering, 7, 2016, 66–77.
14
[15] Hayat, T., Nadeem, S., Heat transfer enhancement with Ag–CuO/water hybrid nanofluid, Results in Physics, 7, 2017, 2317–2324.
15
[16] Chamkha, A.J., Miroshnichenko, I.V., Sheremet, M.A., Numerical analysis of unsteady conjugate natural convection of hybrid water-based nanofluid in a semicircular cavity, Journal of Thermal Science and Engineering Applications, 9, 2017, 041004–9.
16
[17] Wei, B., Zou, C., Yuan, X., Li, X., Thermo-physical property evaluation of diathermic oil based hybrid nanofluids for heat transfer applications, International Journal of Heat and Mass Transfer, 107, 2017, 281–287.
17
[18] Li, X., Zou, C., Zhou, L., Qi, A., Experimental study on the thermo-physical properties of diathermic oil based SiC nanofluids for high temperature applications, International Journal of Heat and Mass Transfer, 97, 2016, 631–637.
18
[19] Colangelo, G., Favale, E., de Risi, A., Laforgia, D., Results of experimental investigations on the heat conductivity of nanofluids based on diathermic oil for high temperature applications, Applied Energy, 97, 2012, 828–833.
19
[20] Tamim, H., Dinarvand, S., Hosseini, R., Pop, I., MHD mixed convection stagnation-point flow of a nanofluid over a vertical permeable surface: a comprehensive report of dual solutions, Heat and Mass Transfer, 50, 2014, 639–650.
20
[21] Alfven, H., Existence of electromagnetic-hydrodynamic waves, Nature, 150, 1942, 405-406.
21
[22] Domairry Ganji, D., Hashemi Kachapi, S.H., Application of Nonlinear Systems in Nanomechanics and Nanofluids (Analytical Methods and Applications), Elsevier, 2015.
22
[23] Dinarvand, S., A reliable treatment of the homotopy analysis method for viscous flow over a non-linearly stretching sheet in presence of a chemical reaction and under influence of a magnetic field, Central European Journal of Physics, 7(1), 2009, 114-122.
23
[24] Nademi Rostami, M., Dinarvand, S., Pop, I., Dual solutions for mixed convective stagnation-point flow of an aqueous silica –alumina hybrid nanofluid, Chinese Journal of Physics, 56, 2018, 2465-2478.
24
[25] Mehryan, S.A.M., Sheremet, M.A., Soltani, M., Izadi, M., Natural convection of magnetic hybrid nanofluid inside a double-porous medium using two-equation energy model, Journal of Molecular Liquids, 277, 2019, 959–970.
25
[26] Sheikholeslami, M., Mehryan, S.A.M., Shafee, A., Sheremet, M.A., Variable magnetic forces impact on magnetizable hybrid nanofluid heat transfer through a circular cavity, Journal of Molecular Liquids, 277, 2019, 388–396.
26
[27] Von Kármán, T., Über laminare und turbulente Reibung, Zeitchrift für Angewandte Mathematik und Mechanik, 1(4), 1921, 233–252.
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[28] Schlichting, H., Gersten, K., Boundary-Layer Theory, 9th ed., Springer, 2017.
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[29] Cochran, W.G., The flow due to a rotating disk, Cambridge Philosophical Society, 30(3), 1934, 365-375.
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[30] Rogers, M.G., Lance, G.N., The Rotationally Symmetric Flow of a Viscous Fluid in the Presence of an Infinite Rotating Disk, Journal of Fluid Mechanics, 7, 1960, 617-631.
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[31] White, F.M., Viscous Fluid Flow, 3rd ed., McGraw-Hill, 2006.
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[32] Turkyilmazoglu, M., Nanofluid flow and heat transfer due to a rotating disk, Computers & Fluids, 94, 2014, 139–146.
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[33] Rashidi, M.M., Dinarvand, S., Purely analytic approximate solutions for steady three-dimensional problem of condensation film on inclined rotating disk by homotopy analysis method, Nonlinear Analysis: Real World Applications, 10, 2009, 2346–2356.
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46
ORIGINAL_ARTICLE
Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates
The importance of the slip flow over the no-slip condition is widely accepted in microscopic scaled domains with the direct impact on microfluidic and nanofluidic systems. The popular Navier Stoke’s (N-S) flow model is largely utilized with the slip flow phenomenon. In the present study, the finite integral transform scheme along with the shift of variables is implemented to solve the equation of motion of second grade fluid having third-order mixed partial derivative term. The velocity over the flow regime is studied with both the slip and no-slip boundary conditions for Newtonian and non-Newtonian characteristics by considering the generalized Couette flow. The impact of the pressure gradient and flow time on the velocity is investigated analytically. The output of the present research reveals that due to the slip flow velocity randomly varies at the vicinity of wall surface and such nature hasn’t been found for the no-slip condition. The validation of the present work was done by comparison with the published work and the numerical values, and it shows well verified.
https://jacm.scu.ac.ir/article_14247_d46b155e5911502585c1ae4be135add6.pdf
2019-10-01
989
997
10.22055/jacm.2019.28640.1496
Second grade fluid
exact solution
Couette flow
Slip condition
Non-Newtonian fluid
Jaideep
Dutta
jdutta.mech@gmail.com
1
Research Scholar, Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India
AUTHOR
Balaram
Kundu
bkundu@mech.net.in
2
Professor, Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India
LEAD_AUTHOR
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1
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2
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3
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4
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5
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21
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22
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25
ORIGINAL_ARTICLE
Beam & Shell Models for Composite Straight or Curved Bridge Decks with Intermediate Diaphragms & Assessment of Design Specifications
In this research effort, the generalized warping and distortional problem of straight or horizontally curved composite beams of arbitrary cross section, loading and boundary conditions is presented. An inclined plane of curvature is considered. Additionally, the stiffness of diaphragmatic plates has been introduced in the formulation in order to compare with the case where rigid diaphragms are assumed. Isogeometric tools (NURBS) are employed in order to obtain the results for the 1D formulation and 3D shell models are developed in FEM commercial software for composite cross sections with diaphragms. The number of intermediate diaphragms according to bridges design specifications is compared to the analyzed diaphragmatic arrangements in order to assess the overall structural behavior of bridges decks. For this purpose, examples of curved beam models with open or closed cross sections and various arrangements of diaphragms have been studied.
https://jacm.scu.ac.ir/article_14445_537baa18346c5f657c8b8c7ffad277e6.pdf
2019-10-01
998
1022
10.22055/jacm.2019.28743.1502
Higher-Order-Beam-Theories
Finite element method-FEM
Distortion
Warping
Guidelines
Diaphragms
Ioannis N.
Tsiptsis
ioannis.tsiptsis@aalto.fi
1
Department of Civil Engineering, Aalto University, Rakentajanaukio 4, Espoo, 02150, Finland
LEAD_AUTHOR
Olga E.
Sapountzaki
saolga@student.ethz.ch
2
Department of Civil Engineering, National Technical University of Athens, Zografou Campus, Athens, 15780, Athens, Greece
AUTHOR
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1
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2
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