Cavitation in a Lubrication Flow between a Moving Sphere and a Boundary

J. Ashmore, C. del Pino, and T. Mullin
Phys. Rev. Lett. 94, 124501 – Published 29 March 2005

Abstract

A heavy sphere is free to move inside a rotating horizontal cylinder filled with viscous liquid. The steady motion is essentially Stokesian, and the sphere rotates at a fixed location with a lubrication layer between the ball and the wall. The symmetry of the flow field suggests there will be no force to balance the normal component of the ball’s weight. However, we show that a normal force can arise when a cavitation bubble is present. The bubble size was measured as a function of the cylinder rotation rate and agrees well with a model which uses the force and torque balances on the sphere.

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  • Received 19 October 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.124501

©2005 American Physical Society

Authors & Affiliations

J. Ashmore*

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

C. del Pino and T. Mullin

  • Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

  • *Electronic address: J.Ashmore@damtp.cam.ac.uk
  • Permanent address: ETSII, Universidad de Malaga, Spain. Electronic address: cpino@uma.es.

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Issue

Vol. 94, Iss. 12 — 1 April 2005

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