A coefficient of restitution model for particle–surface collision of particles with a wide range of mechanical characteristics

• Published in: Advanced powder technology : the international journal of the Society of Powder Technology, Japan Vol. 32; no. 12; pp. 4723 - 4733
• Main Authors: Melo, Karla R.B., de Pádua, Thiago F., Lopes, Gabriela C.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2021
• Subjects: Coefficient of restitution; Collisions; Elasticity; Elasticity modulus; Plasticity; Elasticity; Models; Elasticity modulus; Collisions; Plasticity; Coefficient of restitution
• ISSN: 0921-8831; 1568-5527
• DOI: 10.1016/j.apt.2021.10.023

[Display omitted] •Particles with Young's modulus between 1.38 × 104 and 2.83 × 109 Pa were studied.•The effect of impact velocity and particles mechanical properties was investigated.•Pronounced effect of the impact velocity on particles of lower mechanical resistance.•Correlations based on impact velocity and compressional wave velocity were developed. The coefficient of restitution describes the energy dissipation resulting from particle-particle and particle–surface interactions in solid–fluid flows. The energy loss depends on the mechanical characteristics of the solid phase, therefore, to correctly predict the behavior of these systems it is necessary to use reliable coefficient values based on the properties of the particles. This paper investigated the energy dissipation in particle–surface collisions using 7 types of particles with a wide range of mechanical properties (Young's modulus between 1.38 × 104 and 2.83 × 109 Pa). Three empirical equations have been proposed to calculate the coefficient of restitution based on the impact velocity and the compressional wave velocity. The experimental results presented an inverse relation between the impact velocity and the coefficient of restitution. This effect was more pronounced for less elastic particles. The models presented an accurate fit to the experimental data and statistical analysis showed that the Power model presented the greater capacity to predict the coefficient of restitution from generic data. The experimental results showed the predominant effect of mechanical characteristics on the coefficient of restitution. In addition, the proposed equations are proved to be precise tools for predicting particle coefficients of restitution with a wide range of elasticity modulus at low velocities.