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Title: Numerical modelling of viscous and viscoelastic fluids flow through the branching channel (English)
Author: Keslerová, Radka
Author: Kozel, Karel
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 8-13, 2014
Issue: 2014
Pages: 100-105
Category: math
Summary: The aim of this paper is to describe the numerical results of numerical modelling of steady flows of laminar incompressible viscous and viscoelastic fluids. The mathematical models are Newtonian and Oldroyd-B models. Both models can be generalized by cross model in shear thinning meaning. Numerical tests are performed on three dimensional geometry, a branched channel with one entrance and two output parts. Numerical solution of the described models is based on cell-centered finite volume method using explicit Runge–Kutta time integration. Steady state solution is achieved for $t \rightarrow \infty$. In this case the artificial compressibility method can be applied. (English)
Keyword: Oldroyd-B fluids
Keyword: finite volume method
Keyword: artificial compressibility
Keyword: branching channel
MSC: 65N08
MSC: 76A05
Date available: 2015-04-20T06:12:24Z
Last updated: 2023-06-05
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