Darcian Velocity and Temperature Jump Effects on Convection From Vertical Surface Embedded in Porous Media

Abstract

In this work the temperature jump effects on convection from vertical plate embedded in porous media using Darcy model has been investigated numerically. The governing equations: continuity, Darcy law and energy were transformed into dimensionless form using a set of suitable variables then solved numerically using a finite difference method. Results obtained were graphically interdicted to illustrate the effects of temperature jump on the near plate fluid velocity, temperature, shear stress, and Nusselt number. It was found that the increasing of temperature jump parameter reduced velocity and heat transfer rates between surface and fluid for both natural and mixed convection. It was also found that the temperature jump does not affect the rate of forced convection heat transfer.