Heat Exchange in a Fluid Percolating Through Porous Media,

摘要

A simple system of coupled partial differential equations is derived to describe heat transfer from a fluid percolating through a porous elastic medium. This system retains the integrity of the diffusion and convection processes in both the fluid and the porous solid but allows them to coexist under derived interactions (transfer coefficient). Transient solutions which demonstrate the influence of the microstructure and the fluid speed on the temperature distribution are obtained using an explicit finite difference scheme. Numerical results show that for fluid velocities typical of geothermal systems (Reynolds number much less than 10),the fluid and the solid may be assumed to be in local thermal equilibrium.