Mathematical modeling on the force experienced by the wall during the deflection of granular flows

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Deng, Yu Hui^1 ; Zhao, Yi^1

Applied Mathematics Center, Harbin Institute of Technology Shenzhen Graduate School, Shenzhen University Town, XiLi Nanshan, Shenzhen, China^1

关键词: Dilute granular flow;    Granular flows;    Inelastic collision;    Mean forces;    Particle collision;    Probability theory;    Smooth wall;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012118/pdf
DOI  :  10.1088/1742-6596/490/1/012118

来源: IOP

【 摘 要 】

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.