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Heat Transfer Research

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ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v37.i1.10
pages 1-20

A General Lumped Model for Unsteady Heat Conduction of an Asymmetric Cylinder and Unsteady Couette Flow

Davood D. Ganji
Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
Vahid Ebrahimian
Faculty of Mechanical Engineering, University of Mazandaran P.O.Box 484, Shariati Avenue, Babol 47144, Iran


The goal of this paper is to show the application of lumped heat-conduction and fluid-mechanics models in engineering problems. Two-dimensional unsteady heat-conduction problem for an asymmetric cylinder is analyzed by this model and the results are compared with the ones of the numerical method. One-dimensional unsteady heat conduction for the slab, infinite cylinder, and sphere problems and also the Couette problem are analyzed using this model and the results of these analyses are compared with the ones of the exact solution. The results show that the step responses gained for these problems within the lumped model are in good agreement with the numerical and exact solutions.