HEAT CONDUCTION IN RECTANGULAR SOLIDS WITH INTERNAL HEAT GENERATION

被引：1
|
作者：
Duan, Zhipeng [1 ]
Ma, Hao [1 ]
机构：
[1] Beijing Jiaotong Univ, Sch Mech Elect & Control Engn, Beijing, Peoples R China
来源：
THERMAL SCIENCE | 2021年 / 25卷 / 06期
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
heat conduction; rectangular solids; dimensionless shape factor; internal heat sources; method of eigenfunction expansions; FLOW; TEMPERATURE; PLATE; MODEL; FIELD; FLUX; WALL; GAS;
D O I：
10.2298/TSCI200415235D
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A representative steady-state heat conduction problem in rectangular solids with uniformly distributed heat generation has been investigated analytically. An analytical solution is provided by solving a non-homogeneous PDE. A simple and accurate model is proposed to predict the dimensionless shape factor parameter for the first time. The dimensionless shape factor is obtained in the light of the solution of Poisson equation with constant wall temperature boundary conditions. The area-mean temperature is found by integration on the rectangular cross-section. The model is very concise and nice for quick real world approximations, and it provides acceptable accuracy for engineering practice.
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页码：4773 / 4782
页数：10
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