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Buoyancy driven convection and hysteresis in granular gases: numerical solution

Author

Listed:
  • Cordero, Patricio
  • Ramı́rez, Rosa
  • Risso, Dino

Abstract

Granular gas-dynamic equations are written down and numerically integrated to study convection. For a two-dimensional gas of inelastic hard disks in a square box and under the effect of gravity, the equations predict buoyancy driven convection triggered by the dynamically created “temperature”-gradient, in coincidence with what has been seen in molecular dynamics simulations and in real 3D experiments. Three states are observed: conductive, one-convective roll and two-convective rolls states. The numerical solution predicts a hysteresis cycle between the last two states.

Suggested Citation

  • Cordero, Patricio & Ramı́rez, Rosa & Risso, Dino, 2003. "Buoyancy driven convection and hysteresis in granular gases: numerical solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 82-87.
    • Handle: RePEc:eee:phsmap:v:327:y:2003:i:1:p:82-87
    DOI: 10.1016/S0378-4371(03)00455-2
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