THERMAL SCIENCE

International Scientific Journal

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Zhipeng Duan

,

Hao Ma

HEAT CONDUCTION IN RECTANGULAR SOLIDS WITH INTERNAL HEAT GENERATION

ABSTRACT
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.
KEYWORDS
heat conduction, rectangular solids, dimensionless shape factor, internal heat sources, Method of Eigenfunction Expansions
PAPER SUBMITTED: 2020-04-15
PAPER REVISED: 2020-07-24
PAPER ACCEPTED: 2020-08-24
PUBLISHED ONLINE: 2020-09-06
DOI REFERENCE: https://doi.org/10.2298/TSCI200415235D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 6, PAGES [4773 - 4782]
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Heat conduction in rectangular solids with internal heat generation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence