Flow and heat transfer in heat sinks with triangular permeable ducts

摘要

This study presents an analysis of forced convection in a porous triangular channel. The flow is laminar, fully developed and assumed to have constant properties. The channel filled with fully saturated porous media with isotropic matrix and both isothermal and iso-flux boundary conditions imposed on the wall separately. The problem has two different parts. The first part finds the velocity field expression by the means of Brinkmans Momentum Equation for investigating the effect of porosity, permeability and apex angle, and Brinkman- Forchheimer-Extended Darcy Equation for studying the effect of inertial and viscous forces. The second part uses the developed velocity field expression in energy equation for finding the temperature field. In this study, accurate analytical solutions known as Galerkin Integral Method are presented to determine the effects of inertial and viscous forces, apex angle and porous media properties on the velocity and temperature distribution in a triangular channel along with the friction factor fRe, and Nusselt number Nu. This method uses a finite, continuous and single valued polynomial function known as basis function. Depending on the duct cross section geometry, formation of the basis function can be varied.