Journal of Fluid Mechanics

The elastohydrodynamic collision of two spheres

Robert H.  Davis a1, Jean-Marc  Serayssol a1 and E. J.  Hinch a2
a1 Department of Chemical Engineering, University of Colorado, Boulder, Colorado 80309
a2 Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Article author query
davis rh   [Google Scholar] 
serayssol jm   [Google Scholar] 
hinch ej   [Google Scholar] 


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.

(Published Online April 21 2006)
(Received February 13 1985)
(Revised August 19 1985)