LOW CONCENTRATION LIMIT FOR A FLUID-FLOW THROUGH A FILTER

Authors
MARUSIC S
Citation
S. Marusic, LOW CONCENTRATION LIMIT FOR A FLUID-FLOW THROUGH A FILTER, Mathematical models and methods in applied sciences, 8(4), 1998, pp. 623-643
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
8
Issue
4
Year of publication
1998
Pages
623 - 643
Database
ISI
SICI code
0218-2025(1998)8:4<623:LCLFAF>2.0.ZU;2-5
Abstract
A fluid flow through an E-periodic array of obstacles distributed on a hypersurface (filter) is considered. The study of the asymptotic beha vior as epsilon --> 0 for two critical sizes of obstacles epsilon and epsilon(2) gives two different laws describing a global flow. In this paper we study the case of an intermediate obstacle size E-beta, 1 < b eta < 2 and we prove the continuity of the filtration law in the low-v olume fraction limit.