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Hydrodynamic forces on two moving discs.

Burton, David A and Gratus, J. and Tucker, Robin W. (2004) Hydrodynamic forces on two moving discs. Theoretical & Applied Mechanics, 31 (2). pp. 153-187.

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Abstract

We give a detailed presentation of a flexible method for constructing explicit expressions of irrotational and incompressible fluid flows around two rigid circular moving discs. We also discuss how such expressions can be used to compute the fluid-induced forces and torques on the discs in terms of Killing drives. Conformal mapping techniques are used to identify a meromorphic function on an annular region in C with a flow around two circular discs by a Möbius transformation. First order poles in the annular region correspond to vortices outside of the two discs. Inflows are incorporated by putting a second order pole at the point in the annulus that corresponds to infinity.

Item Type: Article
Journal or Publication Title: Theoretical & Applied Mechanics
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 23907
Deposited By: ep_ss_importer
Deposited On: 23 Feb 2009 15:30
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 20:27
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/23907

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