Hydrodynamics of “Thermal” Granular Convection

  • Evgeniy Khain
Conference paper
Part of the NATO Science Series book series (NAII, volume 158)


We employ the Navier-Stokes granular hydrodynamics for determining the threshold of “thermal” convection in a horizontal layer of fluidized granular medium [1, 2]. A recent experiment with a highly fluidized three-dimensional granular flow [3] gives strong evidence for thermal convection. In the simplest model of inelastic hard spheres, the convection sets in when the restitution co-efficient becomes smaller than a critical value [4] . When gravity goes to zero, the convection instability turns into a recently discovered phase separation insta-bility [5]. A lower bound for the convection threshold is determined using the Schwarzschild criterion of stability of classical compressible fluid.


Froude Number Knudsen Number Thermal Convection Inelastic Collision Convection Instability 
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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Evgeniy Khain
    • 1
  1. 1.Racah Institute of PhysicsHebrew University of JerusalemJerusalemIsrael

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