An improved lumped analysis for transient heat conduction in different geometries with heat generation

S.K. Sahu; P. Behera

doi:10.1016/j.crme.2012.03.006

An improved lumped analysis for transient heat conduction in different geometries with heat generation

S.K. Sahu ¹ ; P. Behera ²

¹ Department of Mechanical Engineering, Indian Institute of Technology Indore, Indore-452017, India
² Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela-769008, India

Comptes Rendus. Mécanique, Analytical and innovative solutions for heat transfer problems involving phase change and interfaces, Volume 340 (2012) no. 7, pp. 477-484.

Abstract

This article deals with the analysis of transient one-dimensional heat conduction in both Cartesian and cylindrical geometry by employing the polynomial approximation method (PAM). Four different models such as specified heat flux for both slab and tube and heat generation in both slab and tube have been analyzed. The transient temperature is found to depend on various model parameters, namely, Biot number, heat source parameter and time. With the use of PAM, it has been possible to derive a unified relation for the transient thermal behavior of solid (slab and tube) with both internal generation and boundary heat flux. Present prediction is found to be in good agreement with other analytical results reported in the literature.

Published online: 2012-05-14

DOI: 10.1016/j.crme.2012.03.006

Keywords: Transient, Conduction, Lumped model, Polynomial approximation method, Heat flux, Modified Biot number

Author's affiliations:

S.K. Sahu ¹; P. Behera ²

¹ Department of Mechanical Engineering, Indian Institute of Technology Indore, Indore-452017, India
² Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela-769008, India

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     author = {S.K. Sahu and P. Behera},
     title = {An improved lumped analysis for transient heat conduction in different geometries with heat generation},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {477--484},
     publisher = {Elsevier},
     volume = {340},
     number = {7},
     year = {2012},
     doi = {10.1016/j.crme.2012.03.006},
     language = {en},
}

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S.K. Sahu; P. Behera. An improved lumped analysis for transient heat conduction in different geometries with heat generation. Comptes Rendus. Mécanique, Analytical and innovative solutions for heat transfer problems involving phase change and interfaces, Volume 340 (2012) no. 7, pp. 477-484. doi : 10.1016/j.crme.2012.03.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.03.006/

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