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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 28, 1995 - Issue 4
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Original Articles

NUMERICAL STUDY OF NATURAL CONVECTION FROM A VERTICAL SURFACE DUE TO COMBINED BUOYANCIES

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Pages 409-429 | Received 14 Dec 1994, Accepted 10 May 1995, Published online: 27 Feb 2007
 

Abstract

The phenomenon of natural convection caused by combined heat and mass transfer from a vertical surface situated in a binary mixture is numerically studied. A control volume based finite element method with vorticity-stream function formulation is used (as a test method) to solve the transport equations. Excellent consistency is obtained between the results available in the literature and the present numerical solutions. A range of values is considered for thermal Grashof number, buoyancy and concentration ratios, and Prandtl and Schmidt numbers. Both aiding and opposing flows are investigated. The results indicate that for a concentration ratio Cr » 1, the average Nusselt and Sherwood numbers at the vertical surface are independent of Cr, and the complex trends of the transport are profoundly influenced by the buoyancy ratio and the Prandtl and Schmidt numbers. The applicability of Ackermann's classical theory is pointed out, and comprehensive results of the average Nusselt and Sherwood numbers are presented.

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