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Title: Numerical modelling of steady and unsteady flows of generalized Newtonian fluids (English)
Author: Keslerová, Radka
Author: Trdlička, David
Author: Řezníček, Hynek
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 55-62
Category: math
Summary: This work presents the numerical solution of laminar incompressible viscous flow in a three dimensional branching channel with circular cross section for generalized Newtonian fluids. This model can be generalized by cross model in shear thinning meaning. The governing system of equations is based on the system of balance laws for mass and momentum. Numerical tests are performed on a three dimensional geometry, the branching channel with one entrance and two outlet parts. Numerical solution of the described model is based on central finite volume method using explicit Runge--Kutta time integration. The steady state solution is achieved for $t \rightarrow \infty$. In this case the artificial compressibility method will be applied. In the case of unsteady computation artificial compressibility method is considered. (English)
Keyword: viscous fluids flow
Keyword: generalized Newtonian fluids
Keyword: cross model
Keyword: finite volume method
Keyword: Runge-Kutta scheme
Keyword: artificial compressibility method
MSC: 65L06
MSC: 65N08
MSC: 76A05
MSC: 76A10
MSC: 76D05
DOI: 10.21136/panm.2016.07
Date available: 2017-06-20T13:01:37Z
Last updated: 2017-07-13
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