The Application of Lagrange Equations in Heat Conduction

摘要：

A new concept coined thermal mass is introduced corresponding to the equivalent mass of the thermal energy in an object based on Einsteins mass-energy relation. The kinetic energy and potential energy of thermal mass as well as its dissipation are introduced and then used to establish the Lagrange equations in heat conduction. It can be proved that Fouriers law is equivalent to the Lagrange equations with negligible inertia forces. The application of Lagrange equations in heat conduction makes it possible to unify the treatment of heat transfer and mechanics as well as electrics.

关键词： Lagrange equations thermal mass heat conduction

作者: WU Jing GUO ZengYuan

作者单位: Department of Engineering Mechanics, Tsinghua University, Beijing, 100084 PR China

会议类型: 国际会议

会议名称: 2008 National Academic Symposium for Ph. D. Candidates and Tri-University Workshop on Aero-Structural Mechanics & Aerospace Engineering(NASPCTUWMAE2008)(2008年国际航天航空工程会议暨2008年博士生学术会议(力学))

会议地点: 北京

会议语种:英文

页码: 1-5

在线出版日期: 2008-10-23（万方平台首次上网日期，不代表论文的发表时间）