Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2001-10-03
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, 4 EPS figures, some details added
Scientific paper
10.1103/PhysRevE.65.030301
A hydrodynamic theory is formulated for buoyancy-driven ("thermal") granular convection, recently predicted in molecular dynamic simulations and observed in experiment. The limit of a dilute flow is considered. The problem is fully described by three scaled parameters. The convection occurs via a supercritical bifurcation, the inelasticity of the collisions being the control parameter. The theory is expected to be valid for small Knudsen numbers and nearly elastic grain collisions.
Doolen Gary
He Xiaoyi
Meerson Baruch
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