Modeling of time-dependent distributions of impact and kinetic energies of particulate systems

Abstract

Abstract. This work develops an approach to modeling and analyzing the kinetic and impact energy distributions of particulate systems based on Markov chains. Markov chain operators represent the dynamics of kinetic and impact energy distributions. It can be used to estimate the evolution of energy distribution with respect to time. The obtained results lead to a good approximation when compared to that from Discrete Element Method simulation. In addition, a measure based on collective dynamic analysis is developed to relate particle impact energy (which is unmeasurable during operation) and particle kinetic energy (which can be estimated during operation) is developed. This measure opens a new pathway to measure particle impact energy from particle velocity which can be used for online monitoring, control and optimization.