Author:
DAVIS ROBERT H.,RAGER DEAN A.,GOOD BRIAN T.
Abstract
Experiments were performed to measure the rebound velocities of small plastic and
metal spheres dropped from various heights onto a smooth quartz surface coated with
a thin layer of viscous fluid. The spheres stick without rebounding for low impact
velocities, due to viscous dissipation in the thin fluid layer. Above a critical impact
velocity, however, the lubrication forces in the thin layer cause elastic deformation
and rebound of the spheres. The apparent coefficient of restitution increases with the
ratio of the Stokes number to its critical value for rebound, where the Stokes number
is a dimensionless ratio of the inertia of the sphere to viscous forces in the fluid. The
critical Stokes number required for rebound decreases weakly with increasing values
of a dimensionless elasticity parameter which is a ratio of the viscous forces which
cause deformation to the elastic forces which resist deformation. The experimental
results show good agreement with an approximate model based on lubrication theory
for undeformed spheres and scaling relations for elastic deformation.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
107 articles.
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