Effect of Internal Heat Generation and Concentration Change on Free Convection Boundary Layer from Vertical Flat Plate Embedded in Porous Medium

Abstract

The effects of exponentially decaying internal heat generation (IHG) and internal mass generation (IMG) over specific components are presented numerically on coupled heat and mass transfer by a free convection boundary layer over a vertical flat plate embedded in a fluid-saturated porous medium. Corresponding similarity solutions are used to reduce the governing partial nonlinear differential equations to three ordinary differential equations for the dimensionless stream function, temperature, and concentration with the following parameters: buoyancy force N, exponent of x, λ, and Lewis number Le. Media with and without IHG and IMG are compared in context with the help of graphs and tables. Computations are performed with a system of parameters using built-in codes in Maple. The influences of these parameters on velocity, temperature and concentration profiles, and Sherwood and Nusselt numbers are thoroughly compared and graphically illustrated.