Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method

A. Rezania; A. Ghorbali; G. Domairry; H. Bararnia

doi:10.1007/s10483-008-1210-3

Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method

A. Rezania^*, A. Ghorbali, G. Domairry, H. Bararnia

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

6 Citations (Scopus)

Abstract

In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.

Original language	English
Journal	Applied Mathematics and Mechanics
Volume	29
Issue number	12
Pages (from-to)	1625-1632
Number of pages	8
ISSN	0253-4827
DOIs	https://doi.org/10.1007/s10483-008-1210-3
Publication status	Published - 1 Dec 2008
Externally published	Yes

Keywords

Conduction
Homotopy analysis method
Integral methods
Semi-infinite medium
Temperature profile
Transient heat transfer

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10.1007/s10483-008-1210-3

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title = "Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method",

abstract = "In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.",

keywords = "Conduction, Homotopy analysis method, Integral methods, Semi-infinite medium, Temperature profile, Transient heat transfer",

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T1 - Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method

AU - Rezania, A.

AU - Ghorbali, A.

AU - Domairry, G.

AU - Bararnia, H.

PY - 2008/12/1

Y1 - 2008/12/1

N2 - In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.

AB - In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum.

KW - Conduction

KW - Homotopy analysis method

KW - Integral methods

KW - Semi-infinite medium

KW - Temperature profile

KW - Transient heat transfer

UR - http://www.scopus.com/inward/record.url?scp=57749207442&partnerID=8YFLogxK

U2 - 10.1007/s10483-008-1210-3

DO - 10.1007/s10483-008-1210-3

M3 - Journal article

AN - SCOPUS:57749207442

SN - 0253-4827

VL - 29

SP - 1625

EP - 1632

JO - Applied Mathematics and Mechanics

JF - Applied Mathematics and Mechanics

IS - 12

ER -

Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method

Abstract

Keywords

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