Steady Thermal Analysis of Two-Dimensional Cylindrical Pin Fin with a Nonconstant Base Temperature | Zendy

Raseelo J. Moitsheki | Zendy; C. Harley | Zendy

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Steady Thermal Analysis of Two-Dimensional Cylindrical Pin Fin with a Nonconstant Base Temperature

Author(s) -

Raseelo J. Moitsheki,

C. Harley

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/132457

Subject(s) - fin , ordinary differential equation , heat transfer , heat sink , sink (geography) , nonlinear system , heat transfer coefficient , mathematics , mathematical analysis , heat flux , mechanics , differential equation , thermodynamics , physics , materials science , cartography , quantum mechanics , geography , composite material

Steady heat transfer through a pin fin is studied. Thermal conductivity,heat transfer coefficient, and the source or sink term are assumed to betemperature dependent. In the model considered, the source or sink term is givenas an arbitrary function. We employ symmetry techniques to determine forms ofthe source or sink term for which the extra Lie point symmetries are admitted.Method of separation of variables is used to construct exact solutions when thegoverning equation is linear. Symmetry reductions result in reduced ordinary differentialequations when the problem is nonlinear and some invariant solution forthe linear case. Furthermore, we analyze the heat flux, fin efficiency, and the entropygeneration

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