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.
@article{702828,
title = {Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2006},
pages = {137-142},
url = {http://dml.mathdoc.fr/item/702828}
}
Keslerová, R.; Kozel, K.; Prokop, V. Numerical solution of Newtonian flow in bypass and non-Newtonian flow in branching channels, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2006), pp. 137-142. http://gdmltest.u-ga.fr/item/702828/