Abstract

This work deals with the Soret separation of a binary liquid mixture (Water 60 wt %-Ethanol 40 wt %). The studied configuration is a tilted rectangular cavity of large aspect ratio A. It is assumed that the right wall is heated uniformly or non-uniformly, while the left wall is maintained at a constant cold temperature. The top and bottom walls are well insulated. A developed program (based on the finite-volume method and the semi-implicit method for pressure-linked equations algorithm) was utilized to numerically solve the governing Navier–Stokes equations, the energy and the species equations with the associated boundary conditions. The relevant parameters in this study are the tilting angle (α), the aspect ratio (A), the mass Rayleigh number (Ram) and the Lewis number (Le).

Highlights

  • The Soret effect refers to the transport of mass induced in a fluid mixture by a temperature gradient

  • Bennacer et al [2] have analyzed the influence of the Soret effect on the convection in a horizontal porous layer under crossed temperature and concentration gradients

  • Numerical and analytical results for the case of a horizontal rectangular cavity filled with a binary mixture under the influence of a horizontal thermal gradient were presented by Elhajjar et al [3]

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Summary

Introduction

The Soret effect refers to the transport of mass induced in a fluid mixture by a temperature gradient. In this work the low horizontal plate is submitted to constant uniform heat flux and the top one is maintained to a constant temperature They have observed that the vertical vibrations have a stabilizing effect on convection, and that the vibrations could be used to decrease the value of the separation factor leading to the unicellular flow, allowing separation in the binary mixture in a horizontal cell for a broad range of binary mixtures. Raju et al [10] numerically studied the Soret effects on separation of a binary mixture due to natural convection between heated inclined plates under the influence of transverse magnetic field They have found that the separation of the binary fluid mixture increases with the increase of the tilting angle that the plates make with the horizontal. The results were obtained for a wide range of governing parameters, namely the thermal Rayleigh number, Ra, and the flux ratio, a, for given values of the Lewis number, Le, and the separation ratio,

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