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ISSN オンライン: 2642-0554

SOME NECESSARY CONDITIONS FOR A NON-LINEAR k-ε MODEL IN CLASSIFIED FLOW PATTERNS WITH A SINGULAR POINT

Takashi Hosoda
Department of Urban Management, Kyoto University, C1-3, Kyodai-Katsura, Nishikyo-ku, Kyoto 615-8540, Japan

Ichiro Kimura
Department of Electro-Mechanics, Osaka Electro-Communication University, Osaka; Department of Environmental and Information Sciences, Yokkaichi University 1200 Kayo-cho, Yokkaichi 512-8512, Japan

Shinichiro Onda
Graduate School of Civil Engineering, Kyoto University Yoshida Sakyo-ku, Kyoto 606-850 I, Japan

要約

Realizability conditions of a non-linear k - ε model are investigated firstly for classified mean flow patterns with a singular point. Constraints on the relation between cµ and the strain and rotation parameters (S,Ω) are derived theoretically for each fundamental flow patterns. Then, distributions of turbulent intensities in a simple flow such as a plane shear layer are derived analytically, using a nonlinear k - ε model, and are utilized to identify the model constants in the realizable cµ -(S, Ω ) relation.