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

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 com...

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Main Authors: José R. Hechavarría–Pérez, Alfredo L. Coello-Velázquez, Juan M. Menéndez-Aguado
Format: Article
Language:Spanish
Published: Universidad de Moa "Dr. Antonio Núñez Jiménez" 2017-10-01
Series:Minería y Geología
Subjects:
Online Access:http://revista.ismm.edu.cu/index.php/revistamg/article/view/1423
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spelling doaj-fda0dc9918c147f0ae497c7a4ed8d44a2020-11-25T03:01:38ZspaUniversidad de Moa "Dr. Antonio Núñez Jiménez"Minería y Geología1993-80122017-10-013344014141125Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)José R. Hechavarría–Pérez0Alfredo L. Coello-Velázquez1Juan M. Menéndez-Aguado2Universidad de Holguín “Oscar Lucero Moya”Instituto Superior Minero Metalúrgico de MoaUniversidad de Oviedo. España.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.http://revista.ismm.edu.cu/index.php/revistamg/article/view/1423funciones de fracturamodelación matemáticamétodos de balance de población de partículastrituración por impactozeolitas.
collection DOAJ
language Spanish
format Article
sources DOAJ
author José R. Hechavarría–Pérez
Alfredo L. Coello-Velázquez
Juan M. Menéndez-Aguado
spellingShingle José R. Hechavarría–Pérez
Alfredo L. Coello-Velázquez
Juan M. Menéndez-Aguado
Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)
Minería y Geología
funciones de fractura
modelación matemática
métodos de balance de población de partículas
trituración por impacto
zeolitas.
author_facet José R. Hechavarría–Pérez
Alfredo L. Coello-Velázquez
Juan M. Menéndez-Aguado
author_sort José R. Hechavarría–Pérez
title Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)
title_short Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)
title_full Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)
title_fullStr Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)
title_full_unstemmed Mathematical model of fragmentation for the impact crushing of the zeolites of San Andrés, Holguín (Cuba)
title_sort mathematical model of fragmentation for the impact crushing of the zeolites of san andrés, holguín (cuba)
publisher Universidad de Moa "Dr. Antonio Núñez Jiménez"
series Minería y Geología
issn 1993-8012
publishDate 2017-10-01
description 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.
topic funciones de fractura
modelación matemática
métodos de balance de población de partículas
trituración por impacto
zeolitas.
url http://revista.ismm.edu.cu/index.php/revistamg/article/view/1423
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