Hydrodynamics of “Thermal” Granular Convection
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  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  . When gravity goes to zero, the convection instability turns into a recently discovered phase separation insta-bility . A lower bound for the convection threshold is determined using the Schwarzschild criterion of stability of classical compressible fluid.
KeywordsEntropy Convection Posite Stein Argentina
Unable to display preview. Download preview PDF.
- X. He, B. Meerson, and G. Doolen, Phys. Rev. E 65, 030–301(R) (2002).Google Scholar
- [5e]B. Meerson, T. Poschel, P.V. Sasorov, and T. Schwager, cond-mat/0208286.Google Scholar
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1981).Google Scholar
- L.D. Landau and E.M. Lifshitz, Course of Theoretical Physics: Vol. 6 Fluid Mechanics (Pergamon, Oxford, 1987), pp. 7–8;Google Scholar
- M.S. Gitterman and V.A. Steinberg, High Temp. 8, 754 (1970);Google Scholar