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

Mpho Nkwanazana; Raseelo Joel Moitsheki

doi:10.4028/p-o8i8l1

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

Mpho Nkwanazana^*, Raseelo Joel Moitsheki

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	45-57
Number of pages	13
Journal	Defect and Diffusion Forum
Volume	424
DOIs	https://doi.org/10.4028/p-o8i8l1
Publication status	Published - 2023
Externally published	Yes

Keywords

Approximate Analytical Solutions
Differential Transform Methods
Heat Transfer

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10.4028/p-o8i8l1

Cite this

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title = "Approximate Analytical Solutions for a Heat Transfer in a Slab with Internal Heat Generation",

abstract = "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.",

keywords = "Approximate Analytical Solutions, Differential Transform Methods, Heat Transfer",

author = "Mpho Nkwanazana and Moitsheki, {Raseelo Joel}",

note = "Publisher Copyright: {\textcopyright} 2023 Trans Tech Publications Ltd, Switzerland.",

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T1 - Approximate Analytical Solutions for a Heat Transfer in a Slab with Internal Heat Generation

AU - Nkwanazana, Mpho

AU - Moitsheki, Raseelo Joel

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Approximate Analytical Solutions

KW - Differential Transform Methods

KW - Heat Transfer

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U2 - 10.4028/p-o8i8l1

DO - 10.4028/p-o8i8l1

M3 - Article

AN - SCOPUS:85160199443

SN - 1012-0386

VL - 424

SP - 45

EP - 57

JO - Defect and Diffusion Forum

JF - Defect and Diffusion Forum

ER -

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

Abstract

Keywords

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