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DOI: 10.1615/ICHMT.2008.CHT.610
page 9

B. Dadda
Unite of Applied Research in Renewable Energy, Ghardaïa, Algeria

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

Z. Ouchiha
Department of physics, USTHB, Algiers, Algeria

Ahmed Benzaoui
Université des Sciences et de la technologie Houari Boumedienne, Faculté de Physique, Dépt. Energétique. B.P. 32 El-Alia, 16111 Bab-Ezzouar, Alger, Algeria

Said Abboudi
Laboratoire Interdisciplinaire Carnot de Bourgogne, ICB UMR 6303 CNRS, Université Bourgogne Franche Comté (UBFC), UTBM, site de Sévenans 90010 Belfort cedex, France


This paper concerns the numerical study of the effect of thermal conductivity of an incompressible Newtonian fluid flow in a vertical duct. The ascendant fluid flows around a heated cylindrical obstacle, which is placed in a fixed distance from the inlet. In this work we try to explore the effects of thermal conductivity on the heat transfer between the cylinder and the moving fluid. Thereby, different kinds of fluid have been considered in this work. The taken assumptions and the choice of the numerical method have limited the variation interval of the Prandtl number between 0.1 and 2. The governing equations representing the dynamic and thermal phenomenon are those deduced from mass, momentum and energy conservation equations. The numerical resolution of the system is based on an implicit scheme of finite differences, in velocity-pressure formulation. The grid is based on the cell configuration of MAC. The results show that the impact of Prandtl number on the thermal transfer is very important and that when the flow is performed in small Reynolds number, the fluid layers are less heated as the Prandtl number increases. And that when the Prandtl number is greater than unity, the Nusselt number profile presents an inflexion point for Reynolds number Re=250 because of the thermal instability appearance.

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