PMID: 11909014Mar 23, 2002Paper

Hydrodynamics of thermal granular convection

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Xiaoyi HeGary Doolen

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 character of hydrodynamic modes of the system is discussed. The theory is expected to be valid for small Knudsen numbers and nearly elastic grain collisions.

References

Sep 16, 2000·Physical Review Letters·R RamirezP Cordero
May 1, 2001·Physical Review Letters·R D WildmanD J Parker
Jun 21, 2001·Physical Review Letters·Y Forterre, O Pouliquen
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eli LivnePavel V Sasorov

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Citations

Apr 7, 2010·Physical Review Letters·Peter EshuisDetlef Lohse
Sep 10, 2016·Physical Review Letters·Giorgio PontualeAndrea Puglisi
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Baruch MeersonThomas Schwager
Jun 1, 2004·Physical Review Letters·Devaraj van der MeerDetlef Lohse
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Evgeniy Khain, Baruch Meerson
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dino RissoPatricio Cordero
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Evgeniy Khain, Baruch Meerson
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Daniela PaolottiAndrea Puglisi
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Devaraj van der MeerPeter Reimann

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