Comptes Rendus
no. 7
An improved lumped analysis for transient heat conduction in different geometries with heat generation
S.K. Sahu1  ; P. Behera2
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, Volume 340 (2012) no. 7, pp. 477-484.

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.

Publié le :
DOI : 10.1016/j.crme.2012.03.006
Mots clés : Transient, Conduction, Lumped model, Polynomial approximation method, Heat flux, Modified Biot number
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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S.K. Sahu; P. Behera. An improved lumped analysis for transient heat conduction in different geometries with heat generation. Comptes Rendus. Mécanique, 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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