453 research outputs found
Rheological properties for inelastic Maxwell mixtures under shear flow
The Boltzmann equation for inelastic Maxwell models is considered to
determine the rheological properties in a granular binary mixture in the simple
shear flow state. The transport coefficients (shear viscosity and viscometric
functions) are {\em exactly} evaluated in terms of the coefficients of
restitution, the (reduced) shear rate and the parameters of the mixture
(particle masses, diameters and concentration). The results show that in
general, for a given value of the coefficients of restitution, the above
transport properties decrease with increasing shear rate
DSMC evaluation of the Navier-Stokes shear viscosity of a granular fluid
A method based on the simple shear flow modified by the introduction of a
deterministic non-conservative force and a stochastic process is proposed to
measure the Navier-Stokes shear viscosity in a granular fluid described by the
Enskog equation. The method is implemented in DSMC simulations for a wide range
of values of dissipation and density. It is observed that, after a certain
transient period, the system reaches a hydrodynamic stage which tends to the
Navier-Stokes regime for long times. The results are compared with theoretical
predictions obtained from the Chapman-Enskog method in the leading Sonine
approximation, showing quite a good agreement, even for strong dissipation.Comment: 6 pages, 4 figures; to appear in Rarefied Gas Dynamics: 24th
International Symposium (AIP Conference Proceedings
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