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ANALYTICAL AND NUMERICAL STUDY OF HEAT EXCHANGE BETWEEN A HEATED CYLINDER AND PULSATILE FLOW

DOI: 10.1615/ICHMT.2009.CONV.330
21 pages

Y. Benakcha
Physics Faculty, USTHB. Po .Box 32, El Alia, Bab Ezzouar, Algiers, Algeria

R. Hadj-Ali
Physics Faculty, USTHB. Po .Box 32, El Alia, Bab Ezzouar, Algiers, Algeria

Ghezal Abderrahmane
Department of physics, University of Sciences and Technology Houari Boumediene , Algiers, Algeria

J. C. Loraud
University Institute of Industrial Thermal Systems, UMR CNRS 139 5 rue E. Fermi, Technopôle de Château Gombert,13453 Marseille cedex 13, FRANCE

Abstract

This paper describes an analytically and numerically study of heat transfer mechanism in laminar pulsatile flow at low Reynolds number inside annular space and a heated cylinder. The equations are solved by a Crank-Nicholson finite difference method. Computations are carried out for a kinetic Reynolds number range of 0 ≤ Rew ≤ 1000, while the pulsation amplitude is fixed at a value Aw = 0.75 and the Prandtl number (Pr = 0.7). We are interested more particularly in the evolution of the temperature and Nusselt number. The results show that indicate clearly how pulsation affects the rate of heat transfer and how the phenomenon depends on the kinetic Reynolds Number Rew .
The effects of a kinetic Reynolds numbers on heat transfer are investigated. The results showed that the temperature gradient is significant at the inlet of annular space. The relative mean Nusselt Number (Nups)m is varied with frequency about two modes. For the low frequencies the heat transfer is significant along a heated wall, but for the high frequencies the heat transfer does not change practically with the pulsations. These results are in good agreement with those obtained experimentally and numerically by other researchers.

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