Lift force on an asymmetrical obstacle immersed in a dilute granular flow

Details Lift force on an asymmetrical obstacle immersed in a dilute granular flow Lift force on an asymmetrical obstacle immersed in a dilute granular flow

2011-11-24

arxiv.org/abs/1111.5815v1

Phys. Rev. E, 84, 061302 (2011)

Physics

Condensed Matter

Soft Condensed Matter

26 pages, preprint format, 15 figures, accepted for publication in PRE

Scientific paper

10.1103/PhysRevE.84.061302

This paper investigates the lift force exerted on an elliptical obstacle immersed in a granular flow through analytical calculations and computer simulations. The results are shown as a function of the obstacle size, orientation with respect to the flow direction (tilt angle), the restitution coefficient and ellipse eccentricity. The theoretical argument, based on the force exerted on the obstacle due to inelastic, frictionless collisions of a very dilute flow, captures the qualitative features of the lift, but fails to reproduce the data quantitatively. The reason behind this disagreement is that the dilute flow assumption on which this argument is built breaks down as a granular shock wave forms in front of the obstacle. More specifically, the shock wave change the grains impact velocity at the obstacle, decreasing the overall net lift obtained from a very dilute flow.

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