MHD Mixed Convection from A Vertical Plate Embedded in A Porousmedium With A Convective Boundary Condition Using Homotopy Perturbation Method

Authors

  • E. Arul Vijayalakshmi, *, M. Kannan

Abstract

Ananalytical 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 analytically a highly accurate and thoroughly tested using Homotopy
Perturbation method. The effects of Biot number, thermal Grashof number, permeability parameter, Hartmann
number, Eckert number, Sherwood number and Schmidt number on the velocity, temperature, and
concentration profiles are illustrated graphically. Proportional to the plate surface temperature, the local skinfriction
coefficient, the local Nusselt number and the local Sherwood number also presented the analytically.
The discussion focuses on the physical interpretation of the results as well their comparison with the results of
previous studies.

Published

2020-02-28

Issue

Section

Articles