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NON UNIFORM BOUNDARY CONDITIONS IN WALL CURVED CAVITIES FOR FREE CONVECTION

A. Sabeur-Bendehina
Department of Physics, Faculty of Sciences, BP 1505 El M'Naouer USTO, Oran Algeria

M. Aounallah
Department of Marine Engineering, University of USTO MB Es senia, Oran, Algeria

Omar Imine
Laboratoire d'Aéronautique et Systèmes Propulsifs, Département de Génie Mécanique, Université des Sciences et de la Technologie d'Oran Mohamed Boudiaf, USTO-MB, Oran, Algérie

Lahouari Adjlout
Laboratoire d'Aéro-Hydrodynamique Naval, Département de Génie Maritime, Université des Sciences et de la Technologie d'Oran Mohamed Boudiaf, USTO-MB, Oran, Algérie

Abstract

In the present paper, the influence of non uniform boundary conditions on natural convection in an inclined rectangular cavities differentially heated is studied. The hot wall is wavy with different undulations namely one and three undulations. The aspect ratio of the cavities has also been changed. Various inclination angles were performed. The flow and the heat transfer are calculated by solving both Navier-Stokes and the energy equations.
The results obtained show that the trend of the local Nusselt number is wavy for all inclination angles. The mean Nusselt number decreases comparing with the Nusselt number of the square cavity. The sinusoidal function of the temperature distribution in both vertical walls increases the local and the mean Nusselt number comparing with the isotherm walls. Non uniform boundary conditions seem to increase the heat transfer rate. However, increasing aspect ratio results in a decrease of the Nusselt number.

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