Non-linear steady states in dense granular flows
Résumé
General conservation equations are derived for 2D dense granular flows within the Boussinesq approximation. Assuming that forcing and dissipation equilibrate on average, the relationships between local granular temperature, vorticity and stream function are shown to be characterized by two functions. Once these two functions are known, the whole velocity and temperature fields can be deduced. We checked these predictions on steady surface flows in rotating drum simulated through the Non-Smooth Contact Dynamics methods. Also, we briefly discuss some possible ways to derive these two functions using statistical mechanics.
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