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Hydrodynamic Description of Granular Convection

Hisao Hayakawa·Su Yue·Daniel C. Hong
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Abstract

We present a hydrodynamic model that captures the essence of granular dynamics in a vibrating bed. We carry out the linear stability analysis and uncover the instability mechanism that leads to the appearance of the convective rolls via a supercritical bifurcation of a bouncing solution. We also explicitly determine the onset of convection as a function of control parameters and confirm our picture by numerical simulations of the continuum equations.

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Hisao Hayakawa, Su Yue, Daniel C. Hong. 1995-04-21. Hydrodynamic Description of Granular Convection. https://doi.org/10.1103/physrevlett.75.2328

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