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Elastohydrodynamic collisions of solid spheres

Published online by Cambridge University Press:  26 April 2006

G. Lian ,
M. J. Adams  and
C. Thornton
G. Lian
Affiliation:
Unilever Research, Colworth Laboratory, Sharnbrook, Bedford MK44 1LQ, UK
M. J. Adams
Affiliation:
Unilever Research, Port Sunlight Laboratory, Bebington, Wirral L63 3JW, UK
C. Thornton
Affiliation:
Department of Civil Engineering, Aston University, Birmingham B4 7ET, UK
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Abstract

Recent developments in solving the problem of the elastohydrodynamic collision between two solid elastic bodies involved elaborate numerical procedures in order to simultaneously account for the elastic deformation of the solid surfaces and viscous fluid pressure. This paper describes a simple analytical approximation based upon a Hertzian-like profile for the elastic deformation of the two solid elastic spheres. By introducing a scaling coefficient, a closed-form solution has been developed which is capable of predicting the evolution of the relative particle velocity, force and restitution coefficient to an accuracy that is comparable with the exact numerical solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 311 , 25 March 1996 , pp. 141 - 152
Copyright
© 1996 Cambridge University Press

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