Numerical modelling of viscous and viscoelastic fluids flow through the branching channel

Keslerová, Radka; Kozel, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 100-105

Abstract

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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 . In this case the artificial compressibility method can be applied.

How to cite

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Keslerová, Radka, and Kozel, Karel. "Numerical modelling of viscous and viscoelastic fluids flow through the branching channel." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 100-105. <http://eudml.org/doc/269907>.

@inProceedings{Keslerová2015,
abstract = {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.},
author = {Keslerová, Radka, Kozel, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {Oldroyd-B fluids; finite volume method; artificial compressibility; branching channel},
location = {Prague},
pages = {100-105},
publisher = {Institute of Mathematics AS CR},
title = {Numerical modelling of viscous and viscoelastic fluids flow through the branching channel},
url = {http://eudml.org/doc/269907},
year = {2015},
}

TY - CLSWK
AU - Keslerová, Radka
AU - Kozel, Karel
TI - Numerical modelling of viscous and viscoelastic fluids flow through the branching channel
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 100
EP - 105
AB - 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.
KW - Oldroyd-B fluids; finite volume method; artificial compressibility; branching channel
UR - http://eudml.org/doc/269907
ER -

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