Information entropy and its application in heat conduction

2017 International Conference on New Energy and Future Energy System

Su, C.Q.^1 ; Wu, Y.^1 ; Fan, X.Y.^1 ; Guo, P.^1

College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao

266061, China^1

关键词: Exponential distributions;    Fundamental solutions;    Heat conduction equations;    Heat conduction problems;    Information entropy;    ITS applications;    Maximum entropy principle;    Objective functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/93/1/012031/pdf
DOI  :  10.1088/1755-1315/93/1/012031

来源: IOP

【 摘 要 】

In this paper, heat conduction problems are analyzed from the view of information entropy. The variation law of temperature with time in the lumped-heat-capacity system can be expressed in the form of exponential distribution. It is proved that exponential distribution is the solution of a conditional extreme value problem with information entropy as an objective function. The general analysis procedure of heat conduction problems from the view of information entropy is proposed. Fundamental solution of heat conduction equation can be written in the form of normal distribution, and normal distribution can be derived from the maximum entropy principle.