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Second moment modelling of turbulence in porous media

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.2180
pages 2113-2124

Yusuke Kuwata
Department of Mechanical Engineering, Osaka Prefecture University, 1-1, Gakuen-cho, Naka-ku, Sakai 599-8531, Japan

Kazuhiko Suga
Department of Mechanical Engineering, Osaka Prefecture University, Gakuen-cho 1-1, Naka-ku, Sakai, Osaka 599-8531, Japan

Sinopsis

To predict turbulence in porous media, a new approach is discussed. By doubly (both volume and Reynolds) averaging Navier-Stokes equations, there appear three unknown Reynolds stress terms in the momentum equation. They are namely the Reynolds stress, the sub-volume-scale (SVS) stress and the micro-scale stress, in the present study. For the Reynolds stress, the two-component-limit (TCL) second moment closure is applied whereas the eddy viscosity models are applied to the other stresses: a Smagorinsky-type model and a one-equation eddy viscosity model, respectively for the SVS and the micro-scale stresses. For obtaining some model coefficients, microscopic flow simulations for modelled porous media are also performed. The presently proposed model is evaluated in porous wall channel flows with reasonable accuracy though further development is required.

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