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The motion of a rough particle in a Stokes flow adjacent to a boundary

Published online by Cambridge University Press:  12 June 2006

L. YANG ,
J. R. T. SEDDON ,
T. MULLIN ,
C. DEL PINO  and
J. ASHMORE
L. YANG
Affiliation:
Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK Present address: Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China.
J. R. T. SEDDON
Affiliation:
Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
T. MULLIN
Affiliation:
Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
C. DEL PINO
Affiliation:
Manchester Centre for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, UK Present address: ETSII, Universidad de Malaga, Spain.
J. ASHMORE
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK Present address: TIAX LLC, 15 Acorn Park, Cambridge, MA 02140 USA.
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Abstract

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Results are presented of experimental investigations into the motion of a heavy sphere in a rotating cylinder which is completely filled with highly viscous fluid. For a given cylinder rotation rate, the sphere adopts a fixed position and rotates adjacent to the cylinder wall. For the case of a smooth sphere the motion is consistent with that predicted by a Stokes flow model. Artificially roughened spheres exhibit particle–boundary contact caused by impacts of surface asperities with the boundary for low cylinder surface speeds. For higher cylinder surface speeds the behaviour of the roughened spheres crosses smoothly from the particle–boundary contact regime to motion with hydrodynamically lubricated flow.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 557 , 25 June 2006 , pp. 337 - 346
Copyright
© 2006 Cambridge University Press