Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound  

作　　者：Gaolian LIU 

机构地区：[1]Institute of Mechanics, Shanghai University, Shanghai 200072, China

出　　处：《Journal of Thermal Science》2006年第4期361-363,共3页热科学学报（英文版）

基　　金：The support of the National Natural Science Foundation of China （Grant No. 50136030） ;the Shanghai Leading Acad. Discipline Project （No. Y0103） is gratefully appreciated.

摘　　要：The exact variational formulation of the extended unsteady heat conduction equation with finite propagation speed （the 2nd sound speed） of hyperbolic type is derived herein via a systematic and natural way. Moreover, the boundary- and the physically acceptable initial-value conditions are accommodated in the variational principle by a novel method suggested just recently. In this way a perfect justification of the variational theory of transient heat conduction and a rigorous theoretical basis for the finite element analysis of heat conduction are provided.

关 键 词：variational principle unsteady heat conduction finite element method 

分 类 号：TK124[动力工程及工程热物理—工程热物理]