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Unsteady MHD Non-Darcian Flow Over a Vertical Stretching Plate Embedded in a Porous Medium with Thermal Non-Equilibrium Model

Published online by Cambridge University Press:  21 December 2015

D. Prakash ,
M. Muthtamilselvan  and
Xiao-Dong Niu
D. Prakash
Affiliation:
Department of Applied Mathematics, Bharathiar University, Coimbatore-641 046, India
M. Muthtamilselvan*
Affiliation:
Department of Applied Mathematics, Bharathiar University, Coimbatore-641 046, India
Xiao-Dong Niu
Affiliation:
Department of Mechatronics Engineering, Shantou University, Shantou 515063, China
*
*Corresponding author. Email:muthtamil1@yahoo.co.in (M.Muthtamilselvan), dsprakash86@gmail.com (D. Prakash)
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Abstract

An analysis is performed to study the influence of local thermal non-equilibrium (LTNE) on unsteady MHD laminar boundary layer flow of viscous, incompressible fluid over a vertical stretching plate embedded in a sparsely packed porous medium in the presence of heat generation/absorption. The flow in the porous medium is governed by Brinkman-Forchheimer extended Darcy model. A uniform heat source or sink is presented in the solid phase. By applying similarity analysis, the governing partial differential equations are transformed into a set of time dependent non-linear coupled ordinary differential equations and they are solved numerically by Runge-Kutta Fehlberg method along with shooting technique. The obtained results are displayed graphically to illustrate the influence of different physical parameters on the velocity, temperature profile and heat transfer rate for both fluid and solid phases. Moreover, the numerical results obtained in this study are compared with the existing literature in the case of LTE and found that they are in good agreement.

Keywords

76D1076S0576W05MHDBrinkman-Forchheimer modelheat generationlocal thermal non-equilibrium (LTNE)
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 1 , February 2016 , pp. 52 - 66
Copyright
Copyright © Global-Science Press 2016 

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