Energy Dissipation and Trapping of Particles Moving on a Rough Surface

Abstract

We report an experimental, numerical and theoretical study of the motion of a ball on a rough inclined surface. The control parameters are $D$, the diameter of the ball, $\theta$, the inclination angle of the rough surface and $E_{ki}$, the initial kinetic energy. When the angle of inclination is larger than some critical value, $\theta >{\theta }_T$, the ball moves at a constant average velocity which is independent of the initial conditions. For an angle $\theta <{\theta }_T$, the balls are trapped after moving a certain distance. The dependence of the travelled distances on $E_{ki}$, $D$ and $\theta$. is analysed. The existence of two kinds of mechanisms of dissipation is thus brought to light. We find that for high initial velocities the friction force is constant. As the velocity decreases below a certain threshold the friction becomes viscous.

8 pages RevTeX, 12 Postscript figures

References in corpus (3)

• Collision-induced friction in the motion of a particle on a bumpy inclined plane
• Density Waves in the Flows of Granular Media
• Stochastic Model for the Motion of a Particle on an Inclined Rough Plane and the Onset of Viscous Friction

Cited by in corpus (5)

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• Dynamics of spherical particles on a surface: About collision induced sliding and other effects
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• Transport of a heated granular gas in a washboard potential