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Hydrodynamic forces on two moving discs.

Research output: Contribution to journalJournal article

Published

Journal publication date2004
JournalTheoretical & Applied Mechanics
Journal number2
Volume31
Number of pages35
Pages153-187
Original languageEnglish

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.