关键词: 传热传质, 多孔介质, 解析解

Abstract: An algebraically explicit analytical solution for governing equations of heat and mass transfer process in wet capillary porous media is derived. An extraordinary method is applied to obtain the analytical solution: instead of the ordinary method of separating variable assuming that the solution is a product of several 1-D functions, it is assumed the solution is a sum of several 1-D functions. The solution only consists of linear function of time and binomial functions of geometric coordinates, its physical meaning is simple and clear . Besides the theoretical significance, the algebraically explicit analytical solution is especially valuable for computational heat and mass transfer as a benchmark solution to check the accuracy, convergency and effectiveness of numerical solutions and to improve the numerical computation skills such as differential schemes, grid generation ways and so on.

Key words: Analytical solution, Heat and mass transfer, Porous media