含湿毛细多孔介质传热与传质基本方程的一组代数显式解析解  

ALGEBRAICALLY EXPLICIT ANALYTICAL SOLUTION FOR HEAT AND MASS TRANSFER IN WET POROUS MEDIA

作　　者：蔡睿贤[1] 张娜[1] 

机构地区：[1]中国科学院工程热物理研究所,北京100080

出　　处：《机械工程学报》2003年第6期1-3,共3页Journal of Mechanical Engineering

基　　金：国家自然科学基金(50246003;59925615);国家重点基础研究发展规划课题(G2000026305)资助项目

摘　　要：对含湿毛细多孔介质传热与传质过程的基本主控方程,以建议使用的加法分离变量法导出了一套代数显式解析特解。它仅由时间的线性项与几何坐标的二次项组成,比较简单明了,具有一定的物理意义。这个特解尤其适合作为标准解发展计算传热传质学。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, conver-gency and effectiveness of numerical solutions and to improve the numerical computation skills such as differential schemes, grid generation ways and so on.

关 键 词：传热 传质 含湿毛细多孔介质 主控方程 解析解 加法分离变量法 

分 类 号：TK124[动力工程及工程热物理—工程热物理]