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Two-dimensional Stokes flow driven by elliptical paddles

Cox, Stephen M.; Finn, Matthew D.

Authors

Stephen M. Cox stephen.cox@nottingham.ac.uk

Matthew D. Finn



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.

Citation

Cox, S. M., & Finn, M. D. (2007). Two-dimensional Stokes flow driven by elliptical paddles. Physics of Fluids, 19(11), doi:10.1063/1.2789970

Journal Article Type Article
Publication Date Jan 1, 2007
Deposit Date Mar 26, 2010
Publicly Available Date Mar 26, 2010
Journal Physics of Fluids
Print ISSN 1070-6631
Electronic ISSN 1070-6631
Publisher AIP Publishing
Peer Reviewed Peer Reviewed
Volume 19
Issue 11
DOI https://doi.org/10.1063/1.2789970
Public URL http://eprints.nottingham.ac.uk/id/eprint/1261
Publisher URL http://pof.aip.org/phfle6/v19/i11/p113102_s1
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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