Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Micropolar Fluid Flow Induced due to a Stretching Sheet with Heat Source/Sink and Surface Heat Flux Boundary Condition Effects8168261413210.22055/jacm.2019.27965.1446ENMDShamshuddinDepartment of Mathematics, Vaagdevi College of Engineering, Warangal -506005, Telangana, India0000-0002-2453-8492ThummaThirupathiDepartment of Mathematics, B V Raju Institute of Technology, Medak-502313, Telangana, IndiaP.V.Satya NarayanaDepartment of Mathematics, SAS, Vellore institute of Technology (VIT University), Vellore-632014, Tamilnadu, IndiaJournal Article20181221Computational 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001An Analytical and Semi-analytical Study of the Oscillating Flow of Generalized Burgers’ Fluid through a Circular Porous Medium8278391414010.22055/jacm.2019.27677.1428ENAbdulRaufDepartment of Computer Science & Engineering, Air University, Abdali Road, Khan Center, Multan, 60000, Pakistan0000-0001-8173-9496Journal Article20181126Unsteady 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Irreversibility Analysis of MHD Buoyancy-Driven Variable Viscosity Liquid Film along an Inclined Heated Plate Convective Cooling8408481413010.22055/jacm.2019.28313.1476ENAdetayoEegunjobiMathematics Department, Namibia University of Science and Technology, Windhoek, 9000, Namibia0000-0002-1690-4229O.D.MakindeFaculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa0000-0002-3991-4948Journal Article20190121Analysis 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001A Paired Quasi-linearization on Magnetohydrodynamic Flow and Heat Transfer of Casson Nanofluid with Hall Effects8498601415610.22055/jacm.2019.27800.1435ENMumukshuTrivediDepartment of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar- 382007, India0000-0003-2575-4004O.OtegbeyeSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, South Africa0000-0003-1321-9776Md. S.AnsariDepartment of Mathematics, School of Technology, Pandit Deendayal Petroleum University, Gandhinagar- 382007, India0000-0002-9277-0904Sandile S.MotsaSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, South AfricaDepartment of Mathematics, University of Swaziland, SwazilandJournal Article20181206Present 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. <strong>V</strong>iscous 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Numerical Analysis of the Effect of External Circumferential Elliptical Cracks in Transition Thickness Zone of Pressurized Pipes Using XFEM8618741429310.22055/jacm.2019.28043.1452ENHoudaSalmiNational Higher School of Mechanics, ENSEM, Laboratory of Control and Mechanical Characterization of Materials and Structures, Casablanca, MoroccoKhalidEl HadInstitute of Maritims Studies, Laboratory of Materials and Structures, Casablanca, MoroccoHananEl BhilatNational Higher School of Mechanics, ENSEM, Laboratory of Control and Mechanical Characterization of Materials and Structures, Casablanca, MoroccoAbdelilahHachimInstitute of Maritims Studies, Laboratory of Materials and Structures, Casablanca, MoroccoJournal Article20181229The 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001On Bending Response of Doubly Curved Laminated Composite Shells Using Hybrid Refined Models8758991426310.22055/jacm.2019.27297.1397ENJ.C.MongeFaculty of Mechanical Engineering, National University of Engineering, Av. Tupac Amaru 210, Rimac, Lima, PeruJ.L.MantariFaculty of Mechanical Engineering, National University of Engineering, Av. Tupac Amaru 210, Rimac, Lima, PeruJ.YarascaFaculty of Mechanical Engineering, National University of Engineering, Av. Tupac Amaru 210, Rimac, Lima, PeruR.A.ArciniegaDepartment of Civil Engineering, Universidad Peruana de Ciencias Aplicadas (UPC), Surco, Lima, PeruJournal Article20181018This 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Vibration and Buckling Analysis of Functionally Graded Flexoelectric Smart Beam9009171424510.22055/jacm.2019.27857.1439ENMiladEsmaeiliMechanical Engineering Department, Faculty of Engineering, Shahrekord University, Shahrekord, IranYaghoubTadi BeniMechanical Engineering Department, Faculty of Engineering, Shahrekord University, Shahrekord, Iran0000-0002-1645-6403Journal Article20181211In 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Asymptotic Approximations of the Solution for a Traveling String under Boundary Damping9189251428810.22055/jacm.2019.28331.1477ENRajab A.MalookaniDepartment of Mathematics and Statistics, Faculty of Science, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, 67480, Sindh, PakistanSanaullahDehrajDepartment of Mathematics and Statistics, Faculty of Science, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, 67480, Sindh, PakistanSajad H.SandiloDepartment of Mathematics and Statistics, Faculty of Science, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, 67480, Sindh, PakistanJournal Article20190122Transversal 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Love Wave Propagation in a Fiber-reinforced Layer with Corrugated Boundaries Overlying Heterogeneous Half-space9269341416710.22055/jacm.2019.27062.1413ENAnandMandiDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), IndiaSantimoyKunduDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), IndiaPrasenjitPatiDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), IndiaPrakash ChandraPalDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), IndiaJournal Article20181106Love-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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Analysis of the Coupled Nonlinear Vibration of a Two-Mass System9359501426210.22055/jacm.2019.28296.1474ENAkuroBig-AlaboDepartment of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Rivers State, NigeriaChinwuba VictorOssiaDepartment of Mechanical Engineering, Faculty of Engineering, University of Port Harcourt, Port Harcourt, Rivers State, NigeriaJournal Article20190119This 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Heat and Mass Transfer Analysis on MHD Peristaltic Prandtl Fluid Model through a Tapered Channel with Thermal Radiation9519631414810.22055/jacm.2019.27998.1450ENRaviRajeshResearch Scholar (Reg No: PP.MAT. 0013), Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, IndiaY.Rajasekhara GowdAssociate Professor, Humanities and Basic Sciences Department, G.Pulla Reddy Engineering College, Kurnool, Andhra Pradesh, IndiaJournal Article20181225This 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Numerical and Analytical Approach for Film Condensation on Different Forms of Surfaces9649751416410.22055/jacm.2019.27938.1443ENAmmarKazemi JouybariDepartment of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, IranArashMirabdolah LavasaniDepartment of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran0000-0002-1770-7884Journal Article20181218This 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001MHD Flow and Heat Transfer of SiC-TiO2/DO Hybrid Nanofluid due to a Permeable Spinning Disk by a Novel Algorithm9769881418410.22055/jacm.2019.27997.1449ENBehnamFallahDepartment of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, IranSaeedDinarvandDepartment of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran0000-0002-1625-8618MohammadEftekhari YazdiDepartment of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, IranMohammadreza NademiRostamiDepartment of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, IranIoanPopDepartment of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaJournal Article20181225This study intends to semi-analytically investigate the steady 3D boundary layer flow of a SiC-TiO<sub>2</sub>/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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates9899971424710.22055/jacm.2019.28640.1496ENJaideepDuttaResearch Scholar, Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, IndiaBalaramKunduProfessor, Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India0000-0002-3216-2202Journal Article20190217The 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.Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45365520191001Beam & Shell Models for Composite Straight or Curved Bridge Decks with Intermediate Diaphragms & Assessment of Design Specifications99810221444510.22055/jacm.2019.28743.1502ENIoannis N.TsiptsisDepartment of Civil Engineering, Aalto University, Rakentajanaukio 4, Espoo, 02150, Finland0000-0001-6666-8474Olga E.SapountzakiDepartment of Civil Engineering, National Technical University of Athens, Zografou Campus, Athens, 15780, Athens, GreeceJournal Article20190228In 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.