Numerical simulation of generalized Newtonian and Oldroyd-B fluids flow

Keslerová, Radka, and Kozel, Karel. "Numerical simulation of generalized Newtonian and Oldroyd-B fluids flow." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 112-117. <http://eudml.org/doc/271428>.

@inProceedings{Keslerová2013,
abstract = {This work deals with the numerical solution of generalized Newtonian and Oldroyd-B fluids flow. The governing system of equations is based on the system of balance laws for mass and momentum for incompressible laminar viscous and viscoelastic fluids. Two different definition of the stress tensor are considered. For viscous case Newtonian model is used. For the viscoelastic case Oldroyd-B model is tested. Both presented models can be generalized. In this case the viscosity is defined as a shear rate dependent viscosity function $\mu (\dot\{\gamma \})$. One of the most frequently used shear-thinning models is a cross model. Numerical solution of the described models is based on cell-centered finite volume method using explicit Runge Kutta time integration. The numerical results of generalized Newtonian and generalized Oldroyd-B fluids flow obtained by this method are presented and compared.},
author = {Keslerová, Radka, Kozel, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {generalized Newtonian fluid; Oldroyd-B fluid; finite volume method; Runge-Kutta scheme},
location = {Prague},
pages = {112-117},
publisher = {Institute of Mathematics AS CR},
title = {Numerical simulation of generalized Newtonian and Oldroyd-B fluids flow},
url = {http://eudml.org/doc/271428},
year = {2013},
}

TY - CLSWK
AU - Keslerová, Radka
AU - Kozel, Karel
TI - Numerical simulation of generalized Newtonian and Oldroyd-B fluids flow
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 112
EP - 117
AB - This work deals with the numerical solution of generalized Newtonian and Oldroyd-B fluids flow. The governing system of equations is based on the system of balance laws for mass and momentum for incompressible laminar viscous and viscoelastic fluids. Two different definition of the stress tensor are considered. For viscous case Newtonian model is used. For the viscoelastic case Oldroyd-B model is tested. Both presented models can be generalized. In this case the viscosity is defined as a shear rate dependent viscosity function $\mu (\dot{\gamma })$. One of the most frequently used shear-thinning models is a cross model. Numerical solution of the described models is based on cell-centered finite volume method using explicit Runge Kutta time integration. The numerical results of generalized Newtonian and generalized Oldroyd-B fluids flow obtained by this method are presented and compared.
KW - generalized Newtonian fluid; Oldroyd-B fluid; finite volume method; Runge-Kutta scheme
UR - http://eudml.org/doc/271428
ER -