DOIONLINE

DOIONLINE NO - IJMPE-IRAJ-DOIONLNE-3887

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International Journal of Mechanical and Production Engineering (IJMPE)-IJMPE
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Volume Issue
Issue
Volume-4,Issue-1  ( Jan, 2016 )
Paper Title
Thermal Resistance Approach Of Transient Heat Conduction In Constructal Geometries
Author Name
M.J.Afsari, K.Jafarpour
Affilition
Ms Student, School of mechanical engineering, Shiraz University, Shiraz, Iran, Professor, School of mechanical engineering, Shiraz University, Shiraz, Iran
Pages
13-16
Abstract
This paper, presents a new approach to an analytical solution for the time-dependent heat conduction problems. Many of transient heat conduction problems are solved with method of separation of variables which is time-consuming. Thus the main objective of this article is converting a partial differential equation to an ordinary differential equation that it can be solved easier and faster. This can be happen with scale analysis which assuming that in semi-infinite bodies x = √αt , so time domain changes to space domain and in this way it can be solve a transient problem to a steady state one; however, the analytical solutions are quite different for each class of geometries. Also, deductions based on numerical simulations cannot be generalized. Therefore, a new method to calculate the thermal resistance of a constructal network with arbitrary configuration is needed which in this paper the formulation for transient mode has been provided. Keywords- Analytical Solution, Constructal Geometries, Transient Heat Conduction
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