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

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

*Corresponding author

Research output: Contribution to journalJournal articleResearchpeer-review

5 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 languageEnglish
JournalApplied Mathematics and Mechanics
Volume29
Issue number12
Pages (from-to)1625-1632
Number of pages8
ISSN0253-4827
DOIs
Publication statusPublished - 1 Dec 2008
Externally publishedYes

Keywords

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

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