Journal of Fluid Mechanics · 2009 · 83 citations · 59 references
Natural SciencesAerospace EngineeringPhysicsFluid DynamicsHeat TransferThermodynamicsBoltzmann Transport EquationDissipative SystemsSecond Law Of ThermodynamicsStatistical MechanicsStatistical ThermodynamicsTransport PropertiesBoltzmann EquationsGranular Flow DynamicsKinetic TheoryKinetic Theory Of GasesKinetic Transport EquationsMicrogravity EffectsParabolic TrajectoriesVelocity Distribution
The kinetics of granular gases, including both freely cooling and steadily driven systems, is studied experimentally in quasi-two-dimensional cells. Under microgravity conditions achieved inside an aircraft flying parabolic trajectories, the frictional force is reduced. In both the freely cooling and steadily driven systems, we confirm that the velocity distribution function has the form exp(−α| v | β ). The value of exponent β is close to 1.5 for the driven system in a highly excited case, which is consistent with theory derived under the assumption of the existence of the white-noise thermostat (van Noije & Ernst, Gran. Mat ., vol. 1, 1998, p. 5764). In the freely cooling system, the value of β evolves from 1.5 to 1 as the cooling proceeds, and the system's energy decays algebraically ( T g = T 0 (1 + t /τ) −2 ), agreeing with Haff's law (Haff, J. Fluid Mech ., vol. 134, 1983, p. 401430).
59
Grain flow as a fluid-mechanical phenomenon
P. K. Haff · Journal of Fluid Mechanics · 1983 · 1.1K citations
Clustering instability in dissipative gases
I. Goldhirsch, Gianluigi Zanetti · Physical Review Letters · 1993 · 925 citations