Shooting Method to Study Mixed Convection Past a Vertical Heated Plate with Variable Fluid Properties and Internal Heat Generation

Abstract

Study of Mixed Convection past a vertical heated plate embedded in a sparsely packed porous medium with internal heat generation and variable fluid properties like permeability, porosity and thermal conductivity has been carried out numerically. In this analysis, the governing highly non-linear coupled partial differential equations are transformed into a system of ordinary differential equations with the help of similarity transformations and solved them numerically by using the shooting algorithm with Runge-Kutta-Fehlberg scheme and Newton Raphson method to obtain velocity, temperature and concentration distributions. The features of fluid flow, heat and mass transfer characteristics are analyzed by plotting the graphs and the physical aspects are discussed in detail to interpret the effect of various significant parameters of the problem. The results obtained show that the impact of buoyancy ratio parameter, Prandtl number Pr, Schmidt number Sc and other parameters plays an important role in the fluid flow through porous medium. The obtained results are compared with previously published work of