Authors: Darren Crowdy
Publish Date: 2012/01/28
Volume: 27, Issue: 1-2, Pages: 1-19
Abstract
Analytical expressions for the complex potentials associated with irrotational incompressible flows due to a finite collection of point sources and sinks in a circular fluid region of arbitrary finite connectivity are derived By the conformal invariance of the boundary value problem the flows due to point sources and sinks in arbitrary multiply connected fluid domains are then determined up to conformal mapping As an application of the theory it is combined with recent results on conformal slit mappings to derive explicit formulae for the effective size of an array of holes in a screen or grating following considerations presented by Tuck Adv Appl Mech 1589–158 1975
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