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The elastohydrodynamic collision of two spheres

Published online by Cambridge University Press:  21 April 2006

Robert H. Davis ,
Jean-Marc Serayssol  and
E. J. Hinch
Robert H. Davis
Affiliation:
Department of Chemical Engineering, University of Colorado, Boulder, Colorado 80309
Jean-Marc Serayssol
Affiliation:
Department of Chemical Engineering, University of Colorado, Boulder, Colorado 80309
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

The dynamic deformation of a solid elastic sphere which is immersed in a viscous fluid and in close motion toward another sphere or a plane solid surface is presented. The deformed shape of the solid surfaces and the pressure profile in the fluid layer separating these surfaces are determined simultaneously via asymptotic and numerical techniques. This research provides the first steps in establishing rational criteria for predicting whether a solid particle will stick or rebound subsequent to impact during filtration or coagulation when viscous forces are important.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 163 , February 1986 , pp. 479 - 497
Copyright
© 1986 Cambridge University Press

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