摘要
给出非饱和土中热能传输和水分迁移的耦合控制微分方程。假定无限介质内热源的存在引起周围多孔介质内温度的瞬态变化和水分的迁移和扩散。利用多重Fourier变换、Laplace变换给出其在变换域上的解,然后利用热源函数法给出瞬时点热源条件下非稳态温度场、体积含水率分布场的解析求解方法。通过在时间域上和空间域上进行积分,建立热源强度随时间变化的球域热源情况下的数值积分求解方法,给出温度场作用下多孔介质内水分迁移的演化规律和分布特征。
The system of partial differential equations governing the coupled processes of heat conduction and moisture transfer in unsaturated soils is presented.A transient state distribution of temperature within the infinite medium is assumed to induce the moisture transfer process.For this,the solutions in transform space are given by repeated Fourier transformations and Laplace transformation.An analytical method for calculating the unsteady temperature field and volumetric moisture content field due to instantaneous point heat source is deduced by using a so-called heat source function method.With integration in temporal and spatial domains,a calculation method of heat-induced moisture movement in the vicinity of a spherical heat source with variable intensity with time is established.The moisture transfer characteristics with time and moisture distribution within the porous medium are illustrated.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2006年第z2期4153-4159,共7页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金资助项目(50578008)
北京交通大学科技基金资助项目(2004SM037)
关键词
土力学
非饱和土体
水分迁移
热源函数
数值积分
耦合分析
soil mechanics
unsaturated soil mass
moisture transport
heat source function
numerical integral
coupling analysis
