MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition

A numerical approach has been used to study the heat and mass transfer from a vertical plate embedded in a porous medium experiencing a first-order chemical reaction and exposed to a transverse magnetic field. 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 finite difference algorithm. The effects of Biot number, thermal Grashof number, mass transfer Grashof number, permeability parameter, Hartmann number, Eckert number, Sherwood number and Schmidt number on the velocity, temperature, and concentration profiles are illustrated graphically. A table containing the numerical data for the plate surface temperature, the wall shear stress, and the local Nusselt and Sherwood numbers is also provided. The discussion focuses on the physical interpretation of the results as well their comparison with the results of previous studies.

[1]  S. Bourbigot,et al.  Interactions between chlorinated paraffins and melamine in intumescent paint—investing a way to suppress chlorinated paraffins from the formulations , 2006 .

[2]  I. Pop,et al.  Mixed convection boundary layer flow past an isothermal horizontal circular cylinder with temperature-dependent viscosity , 2009 .

[3]  Karsten E. Thompson,et al.  Numerical modeling of reactive polymer flow in porous media , 2002 .

[4]  R. Alkire,et al.  MASS TRANSFER IN GAS-SPARGED POROUS ELECTRODES , 1984 .

[5]  Oluwole Daniel Makinde,et al.  Magnetohydrodynamic Mixed-Convective Flow and Heat and Mass Transfer Past a Vertical Plate in a Porous Medium With Constant Wall Suction , 2008 .

[6]  Analysis of flow-through porous electrode cell with homogeneous chemical reactions: application to bromide oxidation in brine solutions , 1993 .

[7]  Rama Bhargava,et al.  Magnetohydrodynamic convection flow from a sphere to a non-Darcian porous medium with heat generation or absorption effects: network simulation , 2009 .

[8]  O. Makinde.  On MHD boundary‐layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux , 2009 .

[9]  Rafael Cortell Bataller,et al.  Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition , 2008, Appl. Math. Comput..

[10]  Ali J. Chamkha,et al.  Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid‐saturated porous medium , 2000 .

[11]  J. Merkin,et al.  Free-convection boundary layers on vertical surfaces driven by an exothermic surface reaction , 1994 .

[12]  Abdul Aziz,et al.  A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition , 2009 .

[13]  O. Makinde,et al.  THE EFFECT OF THERMAL RADIATION ON THE HEAT AND MASS TRANSFER FLOW OF A VARIABLE VISCOSITY FLUID PAST A VERTICAL POROUS PLATE PERMEATED BY A TRANSVERSE MAGNETIC FIELD , 2008 .

[14]  O. Makinde.  Thermal stability of a reactive viscous flow through a porous-saturated channel with convective boundary conditions , 2009 .