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ORIGINAL PAPER
Numerical Solutions by EFGM of MHD Convective Fluid Flow Past a Vertical Plate Immersed in a Porous Medium in the Presence of Cross Diffusion Effects via Biot Number and Convective Boundary Condition
1
Department of Mathematics, GITAM University, Hyderabad Campus, Rudraram, 502329, Telangana State, India
2
Department of Mathematics, Bandari Srinivas Institute of Technology, Gollapally (Village), Chevella (Mandal), Ranga Reddy (District), 501503, Telangana State, India
3
Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai 201804, China; ENN-Tongji Clean Energy Institute of Advanced Studies, Shanghai, China
4
Department of Mechanical Engineering, University of Akron, Akron, Ohio, United States of America, 44325
Online publication date: 2017-09-09
Publication date: 2017-08-01
International Journal of Applied Mechanics and Engineering 2017;22(3):613-636
KEYWORDS
ABSTRACT
In this investigation, the numerical results of a mixed convective MHD chemically reacting flow past a vertical plate embedded in a porous medium are presented in the presence of cross diffusion effects and convective boundary condition. Instead of the commonly used conditions of constant surface temperature or constant heat flux, a convective boundary condition is employed which makes this study unique and the results more realistic and practically useful. The momentum, energy, and concentration equations derived as coupled second-order, ordinary differential equations are solved numerically using a highly accurate and thoroughly tested element free Galerkin method (EFGM). The effects of the Soret number, Dufour number, Grashof number for heat and mass transfer, the viscous dissipation parameter, Schmidt number, chemical reaction parameter, permeability parameter and Biot number on the dimensionless velocity, temperature and concentration profiles are presented graphically. In addition, numerical results for the local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are discussed through tabular forms. The discussion focuses on the physical interpretation of the results as well as their comparison with the results of previous studies.
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