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Particle-wall collisions in a viscous fluid

Joseph, G. G. and Zenit, R. and Hunt, M. L. and Rosenwinkel, A. M. (2001) Particle-wall collisions in a viscous fluid. Journal of Fluid Mechanics, 433 . pp. 329-346. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:JOSjfm01

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Abstract

This paper presents experimental measurements of the approach and rebound of a particle colliding with a wall in a viscous fluid. The particle's trajectory was controlled by setting the initial inclination angle of a pendulum immersed in a fluid. The resulting collisions were monitored using a high-speed video camera. The diameters of the particles ranged from 3 to 12 mm, and the ratio of the particle density to fluid density varied from 1.2 to 7.8. The experiments were performed using a thick glass or Lucite wall with different mixtures of glycerol and water. With these parameters, the Reynolds number defined using the velocity just prior to impact ranged from 10 to approximately 3000. A coefficient of restitution was defined from the ratio of the velocity just prior to and after impact. The experiments clearly demonstrate that the rebound velocity depends on the impact Stokes number (defined from the Reynolds number and the density ratio) and weakly on the elastic properties of the material. Below a Stokes number of approximately 10, no rebound of the particle occurred. For impact Stokes number above 500 the coefficient of restitution appears to asymptote to the values for dry collisions. The coefficients of restitution were also compared with previous experimental studies. In addition, the approach of the particle to the wall indicated that the particle slowed prior to impacting the surface. The distance at which the particle's trajectory varied due to the presence of the wall was dependent on the impact Stokes number. The particle surface roughness was found to affect the repeatability of some measurements, especially for low impact velocities.


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Additional Information:"Reprinted with the permission of Cambridge University Press." (Received 18 July 2000 and in revised form 24 October 2000). Published online by Cambridge University Press 22 June 2001. G.G.J. acknowledges nancial support from Universidad Nacional Autónoma de México, through the Dirección General de Apoyo al Personal Académico, and through the Instituto de Investigaciones en Materiales. A.M.R. thanks Dr and Mrs Thomas J. Tyson for supporting him as a Howel N. Tyson SURF Fellow. We are grateful to Professor Paul C. Jennings for providing the zerodur block used in the present study and to Philippe Gondret for the preprint of the paper by his group. This work is supported by the National Science Foundation under grants CTS-9530357 and CTS-9908430.
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Funding AgencyGrant Number
Universidad Nacional Autónoma de MéxicoUNSPECIFIED
Howel N. Tyson SURF Fellow, CaltechUNSPECIFIED
National Science FoundationCTS-9530357
National Science FoundationCTS-9908430
Record Number:CaltechAUTHORS:JOSjfm01
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:JOSjfm01
Alternative URL:http://journals.cambridge.org/bin/bladerunner?REQUNIQ=1118114846&REQSESS=16211268&118200REQEVENT=&REQINT1=78598&REQAUTH=0
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ID Code:364
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:06 Jun 2005
Last Modified:02 Oct 2019 22:33

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