Heat Absorption Effect on Free Convection Flow Past a Vertical Porous Pipe with Mass Transfer

Abstract

This study investigates heat absorption on free convection flow past a vertical porous pipe with mass transfer. The governing equations are the continuity, momentum, energy and diffusion equations. The equations in dimensionless form were transformed into ordinary differential equations (ODEs) and solved analytically using perturbation method. Approximate solutions for the velocity, temperature and concentration were determined. Results are presented graphically showing the effects of various parameters on the fluid flow. It is observed that the velocity becomes higher when thermal Grashof number and sustentions paramètre are increased. Also, increase in magnetic parameter, Schmidt number and Prandtl number lead to fall in the velocity of the fluid. The temperature of the fluid rises also with increase in heat generation but reduces for increased values of Prandtl number. Consequently, the concentration boundary layer decreases with increasing values of Schmidt number. Furthermore, increase in suction/injection has a retarding and accelerating effect on the velocity, temperature and concentration of the fluid respectively.