Nonlinear Couette flow in a low density granular gas

Details Nonlinear Couette flow in a low density granular gas Nonlinear Couette flow in a low density granular gas

2000-03-23

arxiv.org/abs/cond-mat/0003374v3

J. Stat. Phys. 103, 1035-1068 (2001)

Physics

Condensed Matter

Statistical Mechanics

22 pages (9 figures included). Minor changes with respect to v2. Fig. 1 is new. To be published in J. Stat. Phys. (June 2001 i

Scientific paper

10.1023/A:1010317207358

A model kinetic equation is solved exactly for a special stationary state describing nonlinear Couette flow in a low density system of inelastic spheres. The hydrodynamic fields, heat and momentum fluxes, and the phase space distribution function are determined explicitly. The results apply for conditions such that viscous heating dominates collisional cooling, including large gradients far from the reference homogeneous cooling state. Explicit expressions for the generalized transport coefficients (e.g., viscosity and thermal conductivity) are obtained as nonlinear functions of the coefficient of normal restitution and the shear rate.These exact results for the model kinetic equation are also shown to be good approximations to the corresponding state for the Boltzmann equation via comparison with direct Monte Carlo simulation for the latter

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