Finite element formulation of conjugate heat transfer in porous annulus

Abstract

This article deliberates the finite element formulation as applied to the conjugate heat transfer in a porous domain fixed in an annular geometry. The porous domain is such that a solid wall is attached to the iner surface of annulus. The article is aimed to discuss the application of finite element method to problem under investigation and elaborate the solution strategy as applied to porous annulus. The governing equations are taken in the form of non-dimensional equations. A simple triangular element is used to simulate the problem under investigation. The solution is presented in terms of convergence behavior of temperature and stream function. The convergence is faster at low Rayleigh numberThis article deliberates the finite element formulation as applied to the conjugate heat transfer in a porous domain fixed in an annular geometry. The porous domain is such that a solid wall is attached to the iner surface of annulus. The article is aimed to discuss the application of finite element method to problem under investigation and elaborate the solution strategy as applied to porous annulus. The governing equations are taken in the form of non-dimensional equations. A simple triangular element is used to simulate the problem under investigation. The solution is presented in terms of convergence behavior of temperature and stream function. The convergence is faster at low Rayleigh number