Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. APPL. MATH. c 2008 Society for Industrial and Applied Mathematics
 

Summary: Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.
SIAM J. APPL. MATH. c 2008 Society for Industrial and Applied Mathematics
Vol. 68, No. 5, pp. 1439­1463
ASYMMETRIC CHANNEL DIVIDER IN STOKES FLOW
I. DAVID ABRAHAMS, ANTHONY M. J. DAVIS, AND
STEFAN G. LLEWELLYN SMITH
Abstract. This article examines the classic problem of Stokes flow into a divided channel with,
in contrast to previous literature, the divider barrier asymmetrically placed with respect to the
moving, parallel channel walls. The boundary value problem is reduced to a Wiener­Hopf equation
that is of matrix form and of a class for which no exact solution is known. An explicit approximate
solution, in general accurate to any specified degree, is obtained by a recent method which employs
Pad´e approximants. Numerical results exhibit the flows due to moving walls or various combinations
of downstream pressure gradients.
Key words. Stokes flow, channel flow, Wiener­Hopf technique, matrix Wiener­Hopf equations,
Pad´e approximants
AMS subject classification. 78A45
DOI. 10.1137/070703211
1. Introduction. A classic problem in two-dimensional creeping flow, having an
analogy in plane elastostatics, is the disturbance created by the presence of a semi-
infinite barrier in a channel flow (see Figure 1.1) driven by a pressure gradient and

  

Source: Abrahams, I. David - Department of Mathematics, University of Manchester

 

Collections: Mathematics