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Numerical Solution of Newtonian and Non‐Newtonian Flows
Author(s) -
Prokop V.,
Kozel K.,
Keslerová R.
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610270
Subject(s) - discretization , laminar flow , newtonian fluid , non newtonian fluid , compressibility , mechanics , finite volume method , generalized newtonian fluid , flow (mathematics) , branching (polymer chemistry) , pressure correction method , physics , mathematics , viscosity , thermodynamics , materials science , mathematical analysis , shear rate , composite material
This paper deals with the numerical solution of Newtonian and non‐Newtonian flows. The flows are supposed to be laminar, viscous, incompressible and steady. The model used for non‐Newtonian fluids is some variant of power‐law. Governing equations in this model are incompressible Navier‐Stokes equations. For numerical solution one could use artificial compressibility method with three stage Runge‐Kutta finite volume method in cell centered formulation for discretization of space derivatives. Following cases of flows are solwed: flow through a bypass connected to main channel in 2D and 3D and non‐Newtonian flow through branching channels in 2D. These results are presented for 2D and 3D case. This problem could have an application in the area of biomedicine. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)