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NUMERICAL DETERMINATION OF THE CORRELATIONS QUALIFYING THE MASS AND HEAT TRANSFER AROUND A SPHERE SATURATED WITH A PURE LIQUID IN NATURAL CONVECTION

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.420
8 pages

M. Bouaziz
Laboratoire de Mécanique, Acoustique et Instrumentation, UPRES EA 1945, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex - France

A. Daif
I.M.P.-CNRS, BP.5, Odeillo, 66125 Font-Romeu cedex - France

A. Ali Cherif
Laboratoire de Mécanique, Acoustique et Instrumentation, UPRES EA 1945, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex - France

X. Chesneau
Laboratoire de Mécanique, Acoustique et Instrumentation, UPRES EA 1945, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan Cedex - France

J. Bresson
L.M.A.I. UNIV. PERPIGNAN, 52 av. de Villeneuve, 66860 Perpignan cedex

Abstract

In this study, we are interested in heat and mass transfers around a sphere in a gas environment. The sphere is porous and saturated with a single constituent liquid. The study is envisaged in natural convection by taking into account the variability of the physical properties according to the temperature and the pressure. To describe the liquid-vapor equilibrium and to determine the molar fraction at the surface of the sphere in a high pressure gas we use the fugacity and the Redlich-Kwong equation. In addition, mass and heat transfer equations are linked, due to the fact of taking into account the enthalpic diffusion in the heat equation. The resolution of transfer equations (impulsion, heat and mass) around the sphere allow us to determine Nusselt and Sherwood local numbers. These numbers values are used to define, by integration, their average magnitude as a function of dimensionless numbers qualifying transfers.

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