NON-NEWTONIAN FLOW-THROUGH A THIN FILTER

Authors
BOURGEAT A MARUSIC S MARUSICPALOKA E
Citation
A. Bourgeat et al., NON-NEWTONIAN FLOW-THROUGH A THIN FILTER, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(8), 1997, pp. 945-950
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
8
Year of publication
1997
Pages
945 - 950
Database
ISI
SICI code
0764-4442(1997)324:8<945:NFATF>2.0.ZU;2-L
Abstract
We consider the injection of a non-newtonian fluid through a thin peri odically perforated wall (with period epsilon and thickness of order O (epsilon)). Starting from the local flow described by the incompressib le Stokes system with nonlinear viscosity (Carreau's law), the asympto tic when epsilon --> 0 gives the law characterizing the global flow.