Unsteady forced and natural convection around a sphere immersed in a porous medium

Abstract

Unsteady forced and natural convection around a sphere immersed in a fluid-saturated porous medium is investigated. The sphere is suddenly heated and, subsequently, maintains a constant temperature over the surface. For the forced convection problem, the method of matched asymptotic expansions is used to obtain an asymptotic solution of the energy equation in terms of the Peclet number. For the natural convection problem, asymptotic solutions in terms of the Rayleigh number are obtained by means of a regular perturbation method.

Non-similar Solution for Natural Convective Boundary Layer Flow Over a Sphere Embedded in a Porous Medium Saturated with a Nanofluid

“…Conjugate steady convection from a solid sphere with an isothermal heated core was investigated by Kimura and Pop (1994). Sano (1996) studied the unsteady forced and natural convection around a sphere immersed in a fluid-saturated porous medium. He used the method of asymptotic expansions to obtain a solution for the energy equation.…”