Exact analytical solution to three-dimensional phase change heat transfer proble

排行榜 收藏 打印 发给朋友 举报 来源: 《Applied Mathematics and Mechanics》 发布者:cjk3d
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Exact analytical solution to three-dimensional phase change heat transfer problems in biological tissues subject to freezing

Analytically solving a three-dimensional (3-D) bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temper-ature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.水利论文 SRnwD2@^

作 者: Fang-fang LI Jing LIU Kai YUE  
作者单位:Fang-fang LI,Jing LIU(Thermal Engineering Department, University of Science and Technology Beijing, Beijing 100080, P. R. China)水利论文 Avz:R!^ j
Kai YUE(Thermal Engineering Department, University of Science and Technology Beijing,Beijing 100080, P. R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2009 30(1) 
分类号:O3 
关键词:threo-dimensional phase change heat transfer problem   cryosurgery   cry-opreservation   moving heat source model   bioheat transfer   Green's function   analytical solution  
机标关键词:bioheat transferphase changeGreen function methodboundary conditionsanalytical solutionfreezing processheat generationchange processsource modelheat sinkdeal within vitro 
基金项目:国家自然科学基金 
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