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Numerical investigation of meso-scale structures using a two fluid model with non-Newtonian closure



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Pérez, J. and Pinelli, Alfredo (2005) Numerical investigation of meso-scale structures using a two fluid model with non-Newtonian closure. In Bulletin of the American Physical Society : 2005 58th Annual Meeting of the Division of Fluid Dynamics. American Physical Society.

Official URL: http://meetings.aps.org/link/BAPS.2005.DFD.HE.3



The idea is based on identifying the physical roles of the solid and fluid stress tensors in the solid phase momentum equation. The tensors are reformulated as a sum of different terms. A comparison with the closure proposed by Marchioro et al. (Int. J. Multiphase flow. 27: 237-276, 2001), leads to a new non-Newtonian closure. The complete model has been tested with two different scenarios. First, we used an initial Taylor-Green base flow for the fluid phase with a highly diluted regime with mass fraction of order one. This case allows for a critical evaluation of the present formulation vs Saffman's 1962. We also considered a base channel flow with solid particles. Different regimes (solid fractions) have been considered. The results are compared vs Agrawal et al. (J. Fluid Mech. 445: 151-185, 2001) in terms of of meso-scale solid structures behaviours. The numerical discretization for both phases is based on a finite volume formulation using a Rusanov scheme for the hyperbolic part of the equations that preserves the positivity of the void fraction.

Item Type:Book Section
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Meeting held Sunday–Tuesday, November 20–22, 2005; Chicago, IL

Subjects:Sciences > Physics
ID Code:22060
Deposited On:24 Jun 2013 11:32
Last Modified:12 Dec 2018 15:07

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