Approximate Analytical Solutions for a Heat Transfer in a Slab with Internal Heat Generation

被引：1

作者：

Nkwanazana M. ^{[1
]}

Moitsheki R.J. ^{[2
]}

机构：

[1] Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Science, University, Molotlegi Street, Ga-Rankuwa

[2] School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Braamfontien, Johannesburg

来源：

Defect and Diffusion Forum | 2023年 / 424卷

关键词：

Approximate Analytical Solutions; Differential Transform Methods; Heat Transfer;

D O I：

10.4028/p-o8i8l1

中图分类号：

学科分类号：

摘要：

In this article we consider heat transfer models prescribed by reaction-diffusion equations. The diffusivity term and internal heat generator are given by the power law. The differential transform method (DTM) is utilized to construct the approximate analytical solutions. These solutions are generated using one- and two-dimensional DTM for the steady state and the transient problem, respectively. The effects of parameters appearing in the our model are presented and explained. © 2023 Trans Tech Publications Ltd, Switzerland.

引用

页码：45 / 57

页数：12

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