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Modelling of Newtonian and Non‐Newtonian Incompressible Fluid Flow
Author(s) -
Vimmr Jan
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610280
Subject(s) - laminar flow , newtonian fluid , generalized newtonian fluid , compressibility , non newtonian fluid , pressure correction method , discretization , mechanics , viscosity , incompressible flow , herschel–bulkley fluid , power law fluid , fluid dynamics , quadrilateral , flow (mathematics) , mathematics , physics , finite element method , thermodynamics , mathematical analysis , shear rate
This paper deals with numerical simulation of steady laminar incompressible Newtonian and non‐Newtonian fluid flow. The viscosity of non‐Newtonian fluid is modelled using the fluid power law. The mathematical model is described by the non‐linear conservative system of the incompressible Navier‐Stokes equations that is solved using the explicit two‐step MacCormack scheme with artificial viscosity together with the pseudo‐compressibility method. The spatial discretization is performed by the cell‐centred finite volume method on a structured quadrilateral grid. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)