Free Convection in Shallow and Slender Porous Cavities Filled by a Nanofluid Using Buongiorno's Model

Abstract

A numerical study of the steady free convection flow in shallow and slender porous cavities filled by a nanofluid is presented. The nanofluid model takes into account the Brownian diffusion and the thermophoresis effects. The governing dimensional partial differential equations are transformed into a dimensionless form before being solved numerically using a finite difference method. Effort has been focused on the effects of four types of influential factors such as the aspect ratio, the Rayleigh and Lewis numbers, and the buoyancyratio parameter on the fluid flow and heat transfer characteristics.