Theoretical Model for Normal Impact between Dry Sphere and Liquid Layer with Considerable Thickness

Abstract

Detailed understanding on the impact mechanism with presence of liquid is helpful for elucidating complex behaviors of wet particle flows. This paper has extended elastohydrodynamic theory by coupling the physical force models for the wet normal impact with a liquid layer of considerable thickness. The contact is divided into penetration, contact, and rebound stages. Three critical Stokes numbers are developed for each stage to predict the sphere rebound behavior. The dependence of the critical Stokes numbers on the layer thickness, sphere radius and the liquid viscosity is also studied. When the layer thickness and liquid viscosity ranges within a low level, most of the kinetic energy is dissipated in the contact stage. With further increase of these two parameters, the energy dissipation in the penetration stage becomes predominant. Finally, we developed an equation to predict the restitution coefficient of the wet normal impact with acceptable accuracy.

Interface‐resolved simulations of normal collisions of spheres on a wet surface

“…Then increases sharply with increasing St M and finally evens out. The observed trend is similar to the findings by many previous studies, among which a few models or correlations have been proposed to predict with the Stokes number. We have compared all the existing models (to the knowledge of the authors) with our simulation data.…”

Динамическая Модель Упруго-Пластического Нормального Столкновения Сферической Частицы С Полупространством С Учетом Адгезионного Взаимодействия В Зоне Контакта

“…Существуют также работы, в которых изучаются специфические условия столкновения. К примеру, в [16] рассматривается столкновение упругой частицы с упругой пластиной, на которую нанесен тонкий слой вязкой жидкости, что приводит к возникновению дополнительного канала диссипации механической энергии. Подобная ситуация изучалась ранее в [17].…”