Shear Flow of a Granular Material

The shear flow of a granular material between parallel plates is treated by means of the Boltzmann equation with pseudo-Maxwellian grains. The moments for reverse reflection boundary conditions are found explicitly. The shearing stress is found to depend quadratically on the shear rate.

[1]  Charles S. Campbell,et al.  RAPID GRANULAR FLOWS , 1990 .

[2]  C. Truesdell,et al.  On the Pressures and the Flux of Energy in a Gas according to Maxwell's Kinetic Theory, II , 1956 .

[3]  C. Lun.  Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres , 1991, Journal of Fluid Mechanics.

[4]  Clifford Ambrose Truesdell,et al.  Fundamentals of Maxwell's kinetic theory of a simple monatomic gas , 1980 .

[5]  I. Goldhirsch,et al.  Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order , 1998, Journal of Fluid Mechanics.

[6]  Kumbakonam R. Rajagopal,et al.  On flows of granular materials , 1994 .

[7]  C. Cercignani.  Existence of homoenergetic affine flows for the Boltzmann equation , 1989 .

[8]  M. Shapiro,et al.  Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equations , 1995, Journal of Fluid Mechanics.

[9]  Hans J. Herrmann,et al.  Simulation of granular media , 1992 .

[10]  H. Jaeger,et al.  The Physics of Granular Materials , 1996 .

[11]  Carlo Cercignani,et al.  Moment Equations for a Granular Material in a Thermal Bath , 2002 .

[12]  Irene M. Gamba,et al.  On Some Properties of Kinetic and Hydrodynamic Equations for Inelastic Interactions , 2000 .

[13]  C. Cercignani.  Rarefied Gas Dynamics: From Basic Concepts to Actual Calculations , 2000 .

[14]  Carrillo,et al.  Steady states of a boltzmann equation for driven granular media , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  C. Cercignani,et al.  Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas , 1994 .