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NATURAL DOUBLE DIFFUSIVE CONVECTION INDUCED BY OPPOSING BUOYANCY FORCES IN A SHALLOW HORIZONTAL CAVITY FILLED WITH NON-NEWTONIAN POWER-LAW FLUIDS.

DOI: 10.1615/ICHMT.2008.CHT.1170
15 pages

Taoufik Makayssi
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco

Mohamed Naimi
Faculty of Sciences and Technologies, Physics Department, Laboratory of Flows and Transfers Modeling (LAMET), Sultan Moulay Slimane University, B.P. 523, Beni-Mellal, Morocco

Mohamed Lamsaadi
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco

Mohammed Hasnaoui
Cadi Ayyad University, Faculty of Sciences Semlalia, Physics Department, UFR TMF, Laboratory of Fluid Mechanics and Energetics (LMFE), B.P. 2390, Marrakech, Morocco

Abdelghani Raji
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco

Ahmed Bahlaoui
Sultan Moulay Slimane university, Faculty of Sciences and Technologies, Physics Department, UFR of Sciences and Engineering of Materials, Team of Flows and Transfers Modelling (EMET), B.P. 523, Béni-Mellal, Morocco

Abstract

This paper reports an analytical and numerical study of double-diffusive natural convection in a non-Newtonian power-law fluid contained in a horizontal rectangular enclosure submitted to uniform heat and mass fluxes along its short vertical sides, while the horizontal ones are insulated and impermeable. Here the case where the thermal and solutal buoyancy forces are opposite and of equal intensities (N = βSΔS'/βTΔT' = −1 is considered. The first part from this work is devoted to the numerical solution of the governing equations, and the effect of the full governing parameters, namely, the cavity aspect ratio, A, the Lewis number, Le, the power-law behavior index, n, and the generalized Prandtl, Pr, and thermal Rayleigh, RaT, numbers, is examined. In the second part, an analytical solution, based on the parallel flow approximation in the case of a shallow cavity (A >> 1), is proposed and a good agreement is found between the two types of solutions.

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