Extension of Haff's cooling law in granular flows
1998; Institute of Physics; Volume: 43; Issue: 5 Linguagem: Inglês
10.1209/epl/i1998-00388-9
ISSN1286-4854
Autores Tópico(s)Mineral Processing and Grinding
ResumoThe total energy E(t) in a fluid of inelastic particles is dissipated through inelastic collisions. When such systems are prepared in a homogeneous initial state and evolve undriven, E(t) decays initially as t−2 ∼ exp [ − 2τ] (known as Haff's law), where τ is the average number of collisions suffered by a particle within time t, and = 1 − α2 measures the degree of inelasticity, with α the coefficient of normal restitution. This decay law is extended for large times to E(t) ∼ τ−d/2 in d dimensions, far into the nonlinear clustering regime. The theoretical predictions are quantitatively confirmed by computer simulations, and hold for small to moderate inelasticities with 0.6 < α < 1.
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