Title: Simulation of impinging jet mass transfer at high Schmidt number with algebraic models

Authors: Slawomir Kubacki, Erik Dick

Addresses: Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Nowowiejska 24, Warsaw 00-665, Poland. ' Department of Flow, Heat and Combustion Mechanics, Ghent University, St.-Pietersnieuwstraat 41, B-9000 Gent, Belgium

Abstract: A simple method is proposed for simulation of impinging jet mass transfer at high Schmidt numbers. Two variants of algebraic models, based on the limiting behaviour of the turbulent diffusivity D_t for y⁺ → 0, are employed in order to provide D_t in the near-wall region while away from walls a formula based on the ratio of turbulent to molecular viscosity (ν_t/ν) is applied for determination of the turbulent Schmidt number. Blending between the algebraic expressions and the formula for ν_t/ν is performed in the buffer region of the boundary layer, making the model independent of y⁺ at larger distances from the walls. With the proposed models, very good results have been obtained for the mass transfer at high Schmidt number in impinging jet flows. The model also functions well at low Schmidt number.

Keywords: high-Schmidt mass transfer; turbulence modelling; kappa-epsilon model; impinging jet flows; algebraic modelling; impinging jets; turbulent diffusivity.

DOI: 10.1504/PCFD.2011.037570

Progress in Computational Fluid Dynamics, An International Journal, 2011 Vol.11 No.1, pp.30 - 41

Published online: 19 Dec 2010 *

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