RT Book, Section T1 Numerical investigation of meso-scale structures using a two fluid model with non-Newtonian closure A1 Pérez, J. A1 Pinelli, Alfredo AB 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. PB American Physical Society YR 2005 FD 2005 LK https://hdl.handle.net/20.500.14352/53271 UL https://hdl.handle.net/20.500.14352/53271 NO Meeting held Sunday–Tuesday, November 20–22, 2005; Chicago, IL DS Docta Complutense RD 24 abr 2025