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ISSN オンライン: 2642-0554

INERT AND REACTING FLOWS WITH A NEW CUBIC EDDY-VISCOSITY MODEL

Bart Merci
Department of Mechanics of Flow, Heat and Combustion, Ghent University, St-Pietersnieuwstraat 41, 9000 Gent; and Postdoctoral Fellow of the Fund of Scientific Research - Flanders,Belgium

Chris De Langhe
Dept. of Flow, Heat and Combustion Mechanics, Ghent University, St. Pietersnieuwstraat 41, B-9000 Gent, Belgium

Jan Vierendeels
Department of Flow, Heat and Combustion Mechanics, Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium

Erik Dick
Dept. of Flow, Heat and Combustion Mechanics, University of Gent, St. Pietersnieuwstraat 41, 9000 Gent, Belgium

Dirk J.E.M. Roekaerts
Department Process and Energy, Delft University of Technology, Leeghwaterstraat 44, 2628 CA Delft ; Department of Multi-Scale Physics, Delft University of Technology, Leeghwaterstraat 39, 2628 CB Delft

要約

A third-order expression of the Reynolds stresses as a function of the local strain rate and vorticity, is developed. Anisotropies in the normal stresses, streamline curvature, rotation of the reference frame, and swirl are accounted for. The relationship is linked to a k−ε model, with a modified ε-equation. A new low-Reynolds source term is introduced and a model parameter is written in terms of dimensionless strain rate and vorticity. The model is applied to a stationary and rotating fully developed channel and pipe flow, to the flow over a backward-facing step and to a piloted jet diffusion flame. A comparison is made with results from the linear k − ε model due to Yang and Shih (1993) and Menter's shear stress transport model (Menter, 1994).