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非饱和介质中热能传输及水分迁移的数值积分解
引用本文:白冰,刘大鹏.非饱和介质中热能传输及水分迁移的数值积分解[J].岩土力学,2006,27(12):2085-2089.
作者姓名:白冰  刘大鹏
作者单位:1. 北京交通大学,土木建筑工程学院,北京,100044
2. 北京交通管理干部学院,北京,065201
摘    要:在给出非饱和介质热能.水分传输的耦合质量控制方程和基于Fourier热传导定律的热能平衡方程的基础上,对热能传输及水分迁移的基本特征和机理进行了分析。其中,考虑了温度势、吸力势和重力势的耦合作用影响。给出有热源时控制方程的简化形式,并对半无限体自由表面作用平面热源条件下介质内非稳态温度场、体积含水率分布场进行数值积分求解。利用这些解答给出常热源强度和变热源强度两种情况下,温度场随时间的变化特征以及水分迁移的演化过程,并分析了重力项对计算结果的影响。

关 键 词:温度势  吸力势  热能传输  物质迁移  体积含水率
文章编号:1000-7598-(2006)12-2085-05
收稿时间:2005-03-01
修稿时间:2005年3月1日

Numerical integral solutions of heat transfer and moisture transport in unsaturated porous media
BAI Bing,LIU Da-peng.Numerical integral solutions of heat transfer and moisture transport in unsaturated porous media[J].Rock and Soil Mechanics,2006,27(12):2085-2089.
Authors:BAI Bing  LIU Da-peng
Institution:1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China; 2. Beijing Communications Management Institute, Beijing 065201, China
Abstract:Coupled governing differential equations for both moisture transfer and heat flow are introduced. The approach adopted is based on the total potential for liquid flow being composed of the temperature potential, the elevation and the capillary potential. Besides, a simplified governing equation with heat source is given. The solutions of a semi-infinite unsaturated porous medium subjected to a plane heat source with variable strength with time on its free surface are studied. The numerical integral methods for calculating the unsteady temperature field, volumetric water content field are studied. The evolutions of temperature and moisture content are given under the conditions of constant and variable heat strengths; and the gravitational influences are also analyzed.
Keywords:temperature potential  capillary potential  heat transfer  mass transport  volumetric water content
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