NUMERICAL STUDY ON MIXED CONVECTION IN A POWER-LAW FLUID SATURATED POROUS MEDIUM WITH VARIABLE PROPERTIES AND THERMOPHORESIS EFFECTS VIA LIE SCALING GROUP TRANSFORMATIONS

摘要

A numerical investigation has been carried out on two-dimensional steady state mixed-convection heat and mass transfer on a vertical plate in a power-law fluid saturated Darcy porous medium. The effects of variable viscosity, thermal conductivity, and thermophoresis are analyzed. The governing equations (continuity, momentum, energy, and concentration equations) are transformed into nonlinear ordinary differential equations by using the Lie scaling group transformations. These nonlinear ordinary differential equations are solved numerically using the shooting technique. The results are compared with previously published work and are found to be in good agreement. The results of variable viscosity, thermal conductivity, and thermophoresis parameters on the nondimensional velocity, temperature, and concentration profiles for pseudoplastic, Newtonian, and dilatant fluids are displayed graphically. Heat and mass transfer coefficient results are displayed in tabular form.