Research on the dissipative characteristics of unsteady heat conduction for the one-dimensional sphere

被引：1

作者：

Su, Chuan-Qi ^{[1
]}

Wang, Yong-Yan ^{[1
]}

Qin, Nan ^{[1
]}

Wang, Yan-Chun ^{[1
]}

Zhang, Guo-Doug ^{[1
]}

机构：

[1] Qingdao Univ Sci & Technol, Coll Electromech Engn, Qingdao 266061, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 25期

基金：

中国国家自然科学基金;

关键词：

Dissipative characteristics; unsteady heat conduction; thermal potential; dissipation function; Lyapunov function; IRREVERSIBLE THERMODYNAMICS; VARIATIONAL-PRINCIPLES; ENTRANSY; OPTIMIZATION; EQUATION;

D O I：

10.1142/S0217984918502937

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, the dissipative characteristics of unsteady heat conduction process for the one-dimensional sphere is studied. The dissipation function can be regarded as a Lya-punov function for the heat conduction system, which determines the evolution direction of the system and the stability of the steady state. By use of the vector formula, the relationship between the thermal potential and dissipation function is derived, and its similarity with the dissipation system of mechanical energy is shown. The expression of dissipation function is obtained when the boundary temperature is fixed. In addition, an example for optimization of heat conduction process is discussed based on the entransy dissipation extremum principle.

引用

页数：6

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