|
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: Porous media Heat and mass transfer Analytical
solution
CLC No: O361.2
国家自然科学基金(50246003,59925615)和国家重点基础研究发展规划课题(G2000026305)资助项目.
Received 20020630, received in revised form 20030325
|