Numerical Investigation of MHD Free-Convective Flow of Chemically Reacting Fluid in a Vertical Channel Having Variable Viscosity

Abstract

time-dependent fully developed magnetohydrodynamic freeconvective flow of viscous, incompressible, electrically conducting
and chemically reacting fluid under the influence of externally applied
magnetics filed in a vertical parallel-plate channel in the presence of
temperature-dependent viscosity has been investigated numerically by
using semi-implicit finite difference scheme. The chemical reaction is
assumed to be exothermic in nature which follows an Arrhenius kinetic
law. The influence of the variable viscosity parameter, Hartmann
number and skin friction in case of air (Pr = 0.71) and water (Pr = 7)
has been analyzed by using graphs. Numerical results show that,
velocity of both air and water increases with the increase in the value
of variable viscosity parameter and non-dimensional time but
decreases with increasing value of Hartmann number. Also, variable
viscosity parameter enhanced the skin friction while Hartmann
number reduced it. In addition, larger time is required to attain
steady-state condition in the case of water in comparison to the case
of air