Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels

Keslerová, R.; Kozel, K.; Prokop, V.

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 137-142

Abstract

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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 a variant of the power-law. Governing equations in this model are incompressible Navier-Stokes equations. For numerical solution we could use artificial compressibility method with three stage Runge-Kutta method and finite volume method in cell centered formulation for discretization of space derivatives. The following cases of flows are solved: flow through a bypass connected to main channel in 2D and 3D and non-Newtonian flow through branching channels in 2D. Some 2D and 3D results that could have an application in the area of biomedicine are presented.

How to cite

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Keslerová, R., Kozel, K., and Prokop, V.. "Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 137-142. <http://eudml.org/doc/271362>.

@inProceedings{Keslerová2006,
abstract = {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 a variant of the power-law. Governing equations in this model are incompressible Navier-Stokes equations. For numerical solution we could use artificial compressibility method with three stage Runge-Kutta method and finite volume method in cell centered formulation for discretization of space derivatives. The following cases of flows are solved: flow through a bypass connected to main channel in 2D and 3D and non-Newtonian flow through branching channels in 2D. Some 2D and 3D results that could have an application in the area of biomedicine are presented.},
author = {Keslerová, R., Kozel, K., Prokop, V.},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {137-142},
publisher = {Institute of Mathematics AS CR},
title = {Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels},
url = {http://eudml.org/doc/271362},
year = {2006},
}

TY - CLSWK
AU - Keslerová, R.
AU - Kozel, K.
AU - Prokop, V.
TI - Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 137
EP - 142
AB - 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 a variant of the power-law. Governing equations in this model are incompressible Navier-Stokes equations. For numerical solution we could use artificial compressibility method with three stage Runge-Kutta method and finite volume method in cell centered formulation for discretization of space derivatives. The following cases of flows are solved: flow through a bypass connected to main channel in 2D and 3D and non-Newtonian flow through branching channels in 2D. Some 2D and 3D results that could have an application in the area of biomedicine are presented.
UR - http://eudml.org/doc/271362
ER -

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