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Flow-induced forces arising during the impact of two circular cylinders

Published online by Cambridge University Press:  10 December 2008

N. BAMPALAS  and
J. M. R. GRAHAM
N. BAMPALAS
Affiliation:
Department of Aeronautics, Imperial College, London, SW7 2AZ, UK
J. M. R. GRAHAM*
Affiliation:
Department of Aeronautics, Imperial College, London, SW7 2AZ, UK
*
†Email address for correspondence: m.graham@imperial.ac.uk
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Abstract

This paper presents numerical simulations of two-dimensional incompressible flow around two circular cylinders in relative motion, which may result in impact. Viscous flow computations are carried out using a streamfunction–vorticity method for two equal-diameter cylinders undergoing a two-dimensional impact in otherwise stationary fluid and for cases of similar impact of two cylinders in a steady incident flow. These results are supported by potential flow calculations carried out using a Möbius conformal transformation and infinite arrays of image singularities. The inviscid flow results are compared with other published work and show that the inviscid forces induced on the cylinders have an inverse square root singularity with respect to the time to impact. All impacts considered in this paper result from steady motion of the cylinders along the line joining their centres.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 616 , 10 December 2008 , pp. 205 - 234
Copyright
Copyright © Cambridge University Press 2008

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