Unsteady MHD Flow of Maxwell Fluid Through a Channel with Porous Medium

In this study the effect of entropy generation on two dimensional magnetohydrodynamic (MHD) flow of a Maxwell fluid over an inclined stretching sheet embedded in a non-Darcian porous medium with velocity slip and convective boundary condition is investigated. Darcy-Forchheimer based model was employed to describe the flow in the porous medium. The non-linear thermal radiation is also taken into account. Similarity transformation is used to convert the non-linear partial differential equations to a system of non-linear ordinary differential equations. The resulting transformed equations are then solved using the Homotopy analysis method (HAM). Influence of various physical parameters on the dimensionless velocity profile, temperature profile and entropy generation are shown graphically and discussed in detail while the effects of these physical parameters on velocity gradient and temperature gradient are aided with the help of Table. Furthermore, comparison of some limiting cases of this model was made with existing results. The results obtained are found to be in good agreement with previously published results. Moreover, increase in local inertial coefficient parameter is found to decrease the entropy generation rate.

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MHD flow and heat transfer for Maxwell fluid over an exponentially stretching sheet with variable thermal conductivity in porous medium

Thermal Science ◽

10.2298/tsci120530120s ◽

2014 ◽

Vol 18 (suppl.2) ◽

pp. 599-615 ◽

Cited By ~ 10

Author(s):

V. Singh ◽

Shweta Agarwal

Keyword(s):

Heat Transfer ◽

Thermal Conductivity ◽

Porous Medium ◽

Wall Temperature ◽

Stretching Sheet ◽

Mhd Flow ◽

Maxwell Fluid ◽

Variable Thermal Conductivity ◽

Flow And Heat Transfer ◽

Exponentially Stretching

An analysis is made to study MHD flow and heat transfer for Maxwell fluid over an exponentially stretching sheet through a porous medium in the presence of non-uniform heat source/sink with variable thermal conductivity. The thermal conductivity is assumed to vary as a linear function of temperature. The governing partial differential equations are transformed into ordinary differential equations using similarity transformations and then solved numerically using implicit finite difference scheme known as Keller-box method. The effect of the governing parameters on the flow field, skin friction coefficient, wall temperature gradient (in prescribed surface temperature case), wall temperature (in prescribed heat flux case) and Nusselt number are computed, analyzed and discussed through graphs and tables. The present results are found to be in excellent agreement with previously published work [1,2] on various special cases of the problem.

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Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2010.09.069 ◽

2011 ◽

Vol 54 (4) ◽

pp. 854-862 ◽

Cited By ~ 52

Author(s):

T. Hayat ◽

R. Sajjad ◽

Z. Abbas ◽

M. Sajid ◽

Awatif A. Hendi

Keyword(s):

Porous Medium ◽

Radiation Effects ◽

Mhd Flow ◽

Maxwell Fluid

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Heat transfer and second order slip effect on MHD flow of fractional Maxwell fluid in a porous medium

Journal of King Saud University - Science ◽

10.1016/j.jksus.2018.07.007 ◽

2020 ◽

Vol 32 (1) ◽

pp. 450-458 ◽

Cited By ~ 24

Author(s):

Sidra Aman ◽

Qasem Al-Mdallal ◽

Ilyas Khan

Keyword(s):

Heat Transfer ◽

Porous Medium ◽

Mhd Flow ◽

Maxwell Fluid ◽

Second Order ◽

Slip Effect

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Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink

Journal of Engineering ◽

10.1155/2015/452592 ◽

2015 ◽

Vol 2015 ◽

pp. 1-7 ◽

Cited By ~ 6

Author(s):

I. Swain ◽

S. R. Mishra ◽

H. B. Pattanayak

Keyword(s):

Porous Medium ◽

Differential Equations ◽

Heat Source ◽

Stretching Sheet ◽

Nonlinear Partial Differential Equations ◽

Mhd Flow ◽

Mass Transfer Effect ◽

Exponentially Stretching Sheet ◽

Exponentially Stretching ◽

Source Sink

An attempt has been made to study the heat and mass transfer effect in a boundary layer MHD flow of an electrically conducting viscous fluid subject to transverse magnetic field on an exponentially stretching sheet through porous medium. The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for nondimensional velocity, temperature, and concentration profiles while numerical values of the skin friction local Nusselt number and Sherwood number are presented in tabular form for various values of parameters controlling the flow system.

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Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.02.018 ◽

2021 ◽

Vol 187 ◽

pp. 97-109

Author(s):

Ahmed M. Megahed

Keyword(s):

Heat Transfer ◽

Porous Medium ◽

Fluid Flow ◽

Stretching Sheet ◽

Maxwell Fluid ◽

Transfer Mechanism ◽

Heat Transfer Mechanism

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MHD Peristaltic Flow of Fractional Jeffrey Model through Porous Medium

Mathematical Problems in Engineering ◽

10.1155/2018/6014082 ◽

2018 ◽

Vol 2018 ◽

pp. 1-10 ◽

Cited By ~ 3

Author(s):

Xiaoyi Guo ◽

Jianwei Zhou ◽

Huantian Xie ◽

Ziwu Jiang

Keyword(s):

Porous Medium ◽

Pressure Rise ◽

Maxwell Fluid ◽

Peristaltic Flow ◽

Constitutive Relationship ◽

Second Grade ◽

Jeffrey Fluid ◽

Viscoelastic Parameters ◽

Special Cases ◽

Generalized Second Grade Fluid

The magnetohydrodynamic (MHD) peristaltic flow of the fractional Jeffrey fluid through porous medium in a nonuniform channel is presented. The fractional calculus is considered in Darcy’s law and the constitutive relationship which included the relaxation and retardation behavior. Under the assumptions of long wavelength and low Reynolds number, the analysis solutions of velocity distribution, pressure gradient, and pressure rise are investigated. The effects of fractional viscoelastic parameters of the generalized Jeffrey fluid on the peristaltic flow and the influence of magnetic field, porous medium, and geometric parameter of the nonuniform channel are presented through graphical illustration. The results of the analogous flow for the generalized second grade fluid, the fractional Maxwell fluid, are also deduced as special cases. The comparison among them is presented graphically.

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