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Experimental investigations for the coefficient of restitution of spheroid particles impacting on a wall

Hu, M. , Huang, Y. , Wang, F. , Foss, M.
Journal of applied mechanics. (Accepted manuscript. Published Jan 2018)
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Coefficients of restitution (CoR) is used to scale the kinetic energy dissipation, which is a necessary parameter for discrete element modelling (DEM) simulations of granular flow. Different from the collision of spherical particles, CoR of spheroid particle is not only affected by materials, particle size and impacting velocity, but the contact inclination angle of the particle, as well. This article presents our experimental investigation to measure the velocities of translation and rotation using high-speed camera and calculate the CoR of prolate spheroid particles impacting on flat targets. The results show that the CoR of a prolate spheroid particle is composed of two parts, translation and rotation. The effect from the contact inclination angle is not obvious for a given velocity. When the contact point is close to a pole, the first part plays a major role. On the contrary, the second part dominates the CoR, when the contact point is close to the equator. A dimensionless number, e*, is defined to scale the proportion of velocity due to rotation in the total reflect velocity at the contact point. The relationship between the contact inclination angle, \phi, and e* for 25^o< \phi < 90^o is given in this article.
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