Open AccessEuler-like modelling of dense granular flows: application to a rotating drum
Author(s) -
Daniel Bonamy,
Pierre-Henri Chavanis,
Pierre-Philippe Cortet,
François Daviaud,
Bérengère Dubrulle,
Mathieu Renouf
Publication year - 2009
Publication title -
hal (le centre pour la communication scientifique directe)
Language(s) - English
DOI - 10.1140/epjb/2009-00123-6
Subject(s) - drum , euler's formula , mechanics , mathematics , physics , engineering , mechanical engineering , mathematical analysis
International audienceGeneral conservation equations are derived for 2D dense granular flows from the Euler equation within the Boussinesq approximation. In steady flows, the 2D fields of granular temperature, vorticity and stream function are shown to be encoded in two scalar functions only. We checked such prediction on steady surface flows in a rotating drum simulated through the Non-Smooth Contact Dynamics method. This result is non trivial because granular flows are dissipative and therefore not necessarily compatible with Euler equation. Finally, we briefly discuss some possible ways to predict theoretically these two functions using statistical mechanics