生物导热基本方程的三维非定常代数显式解析解  

Unsteady Three-Dimensional Algebraically Explicit Analytical Solutions for Bio-Heat Transfer Equations

作　　者：李元媛[1,2] 蔡睿贤[1] 

机构地区：[1]中国科学院工程热物理研究所,北京100190 [2]中国科学院研究生院,北京100039

出　　处：《工程热物理学报》2011年第3期361-364,共4页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.50876106)

摘　　要：对目前比较通用的生物导热基本方程Pennes方程,给出了其三维非定常情况下的代数显式解析解。据知,以前很少有发表过这类严格的几何多维解析解。它除了有不可代替的理论价值外,还可以作为标准解来校验日益发达的数值解以及作为基础来研究计算传热学的数值计算方法。另外,文章的特殊求解方法也有发展价值之处。Reasonable unsteady three-dimensional explicit analytical solution is derived with a new method for the widely used bio-heat transfer equation—Pennes equation.There have been very few open reports of explicit unsteady multidimensional exact analytical solutions published in literature. Besides its irreplaceable theoretical value,the analytical solution can be also served as a standard solution to check the recently rapid developing numerical calculation,and therefore promote the development of numerical method of computational heat transfer.In addition,a special method has been given originally and deserved further attention.

关 键 词：生物导热方程 三维 非定常 解析解 

分 类 号：O193[理学—数学]