We perform a dimension analysis for colliding viscoelastic spheres to show that the coefficient of normal restitution [Formula Presented] depends on the impact velocity g as [Formula Presented] in accordance with recent findings. We develop a simple theory to find explicit expressions for coefficients [Formula Presented] and [Formula Presented] Using these and few next expansion coefficients for [Formula Presented] 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 [Formula Presented] for ice particles.
|Number of pages||8|
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 1999|