Hydrodynamics of thermal granular convection

Abstract

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.

4 pages, 4 EPS figures, some details added

References in corpus (1)

• Longitudinal Vortices in Granular Flows

Cited by in corpus (14)

• Patterns and Collective Behavior in Granular Media: Theoretical Concepts
• Phase Diagram of Vertically Shaken Granular Matter
• Spontaneous Ratchet Effect in a Granular Gas
• Onset of thermal convection in a horizontal layer of granular gas
• Granular gases: dynamics and collective effects
• Fluctuating hydrodynamics and correlation lengths in a driven granular fluid
• Symmetry-breaking instability in a prototypical driven granular gas
• Thermal convection in mono-disperse and bi-disperse granular gases: A simulation study
• Time resolved particle dynamics in granular convection
• Thermal convection in granular gases with dissipative lateral walls
• Giant fluctuations at a granular phase separation threshold
• Dissipative lateral walls are sufficient to trigger convection in vibrated granular gases
• Phase separation in a chiral active fluid of inertial self-spinning disks
• Diffusion and velocity correlations of the phase transitions in a system of macroscopic rolling spheres