Hydrodynamics of thermal granular convection

Xiaoyi He; Baruch Meerson; Gary Doolen

doi:10.1103/physreve.65.030301

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arXiv · nlin/0110003

Hydrodynamics of thermal granular convection

Xiaoyi He·Baruch Meerson·Gary Doolen

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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.

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Xiaoyi He, Baruch Meerson, Gary Doolen. 2002-01-03. Hydrodynamics of thermal granular convection. https://doi.org/10.1103/physreve.65.030301

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