New Instability Mode in A Driven Granular Gas: Athermal and Thermal Convection

ORAL

Abstract

For a thermally-driven granular gas confined between two plates under gravity, we report a new instability mode which is found to be active at very small values of the heat-loss parameter. We show that the origin of this new mode is tied to the ``thermal'' mode of the well-studied Rayleigh-Benard convection. This is dubbed {\it purely elastic instability} since it survives even for perfectly elastic collisions ($e_n=1$). The distinction of this new instability mode from its dissipative/athermal counterpart is clarified for the first time. Furthermore, a weakly nonlinear analysis using Stuart-Landau equation has been carried out for both instability modes, and the underlying bifurcation scenario (supercritical/subcritical) from each mode is elucidated. The resulting linear and nonlinear patterns with respect to inelasticity and gravity are compared.

Authors

  • Priyanka Shukla

    Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India, IIT Chennai

  • Meheboob Alam

    Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India, Jawaharlal Nehru Centre, Bangalore