Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)

Abstract

Mathematical modeling based on particles population balance method is a useful tool for impact crushing valuation. With the objective to evaluate the impact energy and feed rate influence on classification and fragmentation distribution functions, is proposed a mathematical model based on serial combination of Reid (1965) and Whiten (1972) structural models, that include Vogel and Peukert (2003), and Austin and Luckie (1972) mathematical expressions. Model validation was done using Chi-square statistical technique and zero-error graphic. The results show that proposed model simulate with adequate accuracy the impact crushing fragmentation process. The probability function of zeolite rock from San Andrés ore depend on the operation conditions witch sensibility was affected by impact energy. Fragmentation distribution function do not depend on the energy impact variation, while particle size distribution was affected by impact energy varying according to classification function tendency.

Keywords

• funciones de fractura
• modelación matemática
• métodos de balance de población de partículas
• trituración por impacto
• zeolitas.