Numerical modelling of steady and unsteady flows of generalized Newtonian fluids

Keslerová, Radka; Trdlička, David; Řezníček, Hynek

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 55-62

Abstract

top
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 . In this case the artificial compressibility method will be applied. In the case of unsteady computation artificial compressibility method is considered.

How to cite

top

Keslerová, Radka, Trdlička, David, and Řezníček, Hynek. "Numerical modelling of steady and unsteady flows of generalized Newtonian fluids." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 55-62. <http://eudml.org/doc/288162>.

@inProceedings{Keslerová2017,
abstract = {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.},
author = {Keslerová, Radka, Trdlička, David, Řezníček, Hynek},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {viscous fluids flow; generalized Newtonian fluids; cross model; finite volume method; Runge-Kutta scheme; artificial compressibility method},
location = {Prague},
pages = {55-62},
publisher = {Institute of Mathematics CAS},
title = {Numerical modelling of steady and unsteady flows of generalized Newtonian fluids},
url = {http://eudml.org/doc/288162},
year = {2017},
}

TY - CLSWK
AU - Keslerová, Radka
AU - Trdlička, David
AU - Řezníček, Hynek
TI - Numerical modelling of steady and unsteady flows of generalized Newtonian fluids
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 55
EP - 62
AB - 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.
KW - viscous fluids flow; generalized Newtonian fluids; cross model; finite volume method; Runge-Kutta scheme; artificial compressibility method
UR - http://eudml.org/doc/288162
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.