2026-06-29T07:30:39Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/532712023-09-07T18:27:11Zcom_20.500.14352_14col_20.500.14352_21

Numerical investigation of meso-scale structures using a two fluid model with non-Newtonian closure Pérez, J. Pinelli, Alfredo 536 Física (Física) 22 Física Meeting held Sunday–Tuesday, November 20–22, 2005; Chicago, IL 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T13:39:44Z 2023-06-20T13:39:44Z 2005 book part https://hdl.handle.net/20.500.14352/53271 XXXX-XXXX metadata only access American Physical Society