A new turbulence model for porous media flows. Part I: Constitutive equations and model closure |
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| Authors: | Federico E. Teruel |
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| Affiliation: | 1. National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki 305-8568, Japan;2. Department of Physics, Tokyo University of Science, Shinjuku, Tokyo 162-8601, Japan;3. National Institute for Materials Science, Tsukuba, Ibaraki 305-0047, Japan;1. Department of Mathematics, Bharathiar University, Coimbatore, Tamilnadu 641 046, India;2. Division of Mechanical Engineering, College of Engineering, Korea Maritime and Ocean University, Busan 606 781, South Korea;1. Department of Environmental & Renewable Energy Systems, Graduate School of Engineering, Gifu University, 1-1 Yanagido, Gifu 501-1193, Japan;2. Solar Power Department, Power Systems, Mitsubishi Heavy Industries, Ltd., 6-53 Tukasa-machi, Isahaya 854-0065, Japan;1. Faculty of Engineering, China University of Geosciences, Wuhan 430074, China;2. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230027, China;3. Department of Mechanical Engineering, University of Texas at Austin, Austin, TX 78712, United States;4. School of Civil Engineering, Hefei University of Technology, Hefei 230009, China |
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| Abstract: | A new model for turbulent flows in porous media is developed. The spatial- and time fluctuations in this new model are tied together and treated as a single quantity. This novel treatment of the fluctuations leads to a natural construction of the k and ε type equations for rigid and isotropic porous media in which all the kinetic energy filtered in the averaging process is modeled. The same terms as those found in the corresponding equations for clear flow, plus additional terms resulting from the interaction between solid walls in the porous media and the fluid characterize the model. These extra terms arise in a boundary integral form, facilitating their modeling. The model is closed by assuming the eddy viscosity approximation to be valid, and using simple models to represent the interaction between the walls in the porous media and the fluid. |
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