Development of a 3D model for particle-wall collision and induced rotation and its influence on particle trajectories

Abstract

The present research focuses on improving the prediction of rotating particle collisions. Current particle-surface collision models do not accurately predict the particle rebound when taking rotation into account. Experimental data, such as the studies by Gorham and Kharaz (2000), Buck, Tang, Heinrich, Deen and Kuipers (2017), and Dong and Moys (2006) show that the Tsuji, Oshima and Morikawa (1985) model is inaccurate due to the incorrect tangential coefficient of restitution assumption. Hoomans, Kuipers, Mohd Salleh, Stein, and Seville (2001) introduced a similar model to the work by Tsuji et al. (1985) which includes a tangential coefficient of restitution but is only in two dimensions and does not consider out of plane rebounds. This work re-derives the particle collision model from the impulse equations for binary collisions in 3D while considering rotating particles. The derived equations in this work compares well to experimental particle-surface impact studies. The implications of this model are seen by investigating erosion due to particle collision in a simple pipe bend. It is shown that Tsuji et al. (1985) over predicts the erosion. These small differences in particle trajectories between the present model and the Tsuji et al. (1985) model will grow in complex flows with multiple close range particle impacts leading to inaccurate erosion predictions which will negatively impact the design of turbomachinery and pneumatic pipes.