Two-dimensional Stokes flow driven by elliptical paddles

Cox, Stephen M. and Finn, Matthew D. (2007) Two-dimensional Stokes flow driven by elliptical paddles. Physics of Fluids, 19 (11). 113102-1-113102-12. ISSN 1070-6631

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Official URL: http://pof.aip.org/phfle6/v19/i11/p113102_s1

Abstract

A fast and accurate numerical technique is developed for solving the biharmonic equation in a multiply connected domain, in two dimensions. We apply the technique to the computation of slow viscous flow (Stokes flow) driven by multiple stirring rods. Previously, the technique has been restricted to stirring rods of circular cross section; we show here how the prior method fails for noncircular rods and how it may be adapted to accommodate general rod cross sections, provided only that for each there exists a conformal mapping to a circle. Corresponding simulations of the flow are described, and their stirring properties and energy requirements are discussed briefly. In particular the method allows an accurate calculation of the flow when flat paddles are used to stir a fluid chaotically.

Item Type:Article
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:1261
Deposited By:Wharton, Dr Janet
Deposited On:26 Mar 2010 17:39
Last Modified:27 Jun 2011 11:13

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