Fully Developed Heat Transfer to Fluid Flow in Rectangular Passages Filled With Porous Materials

Abstract

This is a theoretical and numerical study of fully developed forced convection in various rectangular ducts. Each duct is filled with porous materials and the Brinkman model describes the laminar fluid flow inside this fully saturated porous passage. A Fourier series solution provides the exact solution for the velocity field. Also, a Fourier series solution can produce the temperature profile for a condition of constant energy input per unit length. This includes two different wall conditions: a uniform wall temperature at any axial location and a locally uniform heat flux over the boundary. The case of constant wall temperature over the entire passage is also accommodated using a special analytical/numerical solution.