Boundary conditions and normal state for a vibrated granular fluid
The steady state of a fluidized granular system confined between a vibrating wall and a reflecting one is analyzed in detail. The relationship between the velocity of the wall and the hydrodynamic profiles is established. In the limit of a large system, a peculiar normal state, independent of the details of the boundaries, is reached in the bulk. This state has a uniform pressure and a constant temperature gradient. Both quantities are not independent, but verify a closed constitutive relationship. The generality of this state and the relevant role it is expected to play in the description of vibrated granular systems is discussed.
Brey
JJ
Fisica Teorica, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, Spain.
Ruiz-Montero
MJ
Moreno
F