Mathematical modeling of fragmentation in cone and roller crushers using modified Whiten's model (1972)

Abstract

Crushing mathematical modeling using particles population balance method is a fundamental tool for process analysis, optimization and design. This paper deals with the evaluation of the fracture events and process in cone and rolls crushers. For that proposes, is taken as reference Whiten (1972) structural model modifying fragmentation distribution function. This function was replaced by Austin and Luckie (1972) expression. For model development, was created an algorithm using Matlab 13a like determining resource of fractures parameters. Model estimated error for evaluated crushers established the viability of its use for modelling and simulation, particularly for rolls crushers that even before were simulated by simple fragmentation models. Classification and fragmentation distribution functions obtained, describe the events and process fracture essentials that take place in both crushers.

Keywords

• conminución
• funciones de fracturas
• métodos de balance de población de partícula
• modelación matemática
• trituración