Coefficient of restitution of colliding viscoelastic spheres
arXiv:cond-mat/9905382 · doi:10.1103/PhysRevE.60.4465
Abstract
We perform a dimension analysis for colliding viscoelastic spheres to show that the coefficient of normal restitution depends on the impact velocity g as ε=1-γ_1g^{1/5}+γ_2g^{2/5}\mp..., in accordance with recent findings. We develop a simple theory to find explicit expressions for coefficients γ_1 and γ_2. Using these and few next expansion coefficients for ε(g) we construct a Padé-approximation for this function which may be used for a wide range of impact velocities where the concept of the viscoelastic collision is valid. The obtained expression reproduces quite accurately the existing experimental dependence ε(g) for ice particles.
9 pages, 1 figure
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