Abstract
We develop a mathematical model to describe the system where a dilute granular flow is deflected by an oblique smooth wall. Both particles in the granular flow and the oblique wall experience inelastic collisions with other particles. An analytical solution for the mean force experienced by the wall is obtained through the derivation based on the mathematical model and probability theory. Our theory shows that large angle between the wall and the granular flow may decrease the force experienced by the wall. This is opposite to one's intuition that large deflected angle implies large force. It is probable particle collisions and scattering after the deflection that prevent the wall from experiencing a further strong impact, thus the wall experience less force.
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