Flows of granular material in two-dimensional channels

Bain, Oliver; Billingham, John; Houston, Paul; Lowndes, Ian

Abstract

Secondary cone-type crushing machines are an important part of the aggregate production process. These devices process roughly crushed material into aggregate of greater consistency and homogeneity. We apply a continuum model for granular materials (`A Constitutive Law For Dense Granular Flows', Nature 441, p727-730, 2006) to flows of granular material in representative two-dimensional channels, applying a cyclic applied crushing stress in lieu of a moving boundary. Using finite element methods we solve a sequence of quasi-steady fluid problems within the framework of a pressure dependent particle size problem in time. Upon approximating output quantity and particle size we adjust the frequency and strength of the crushing stroke to assess their impact on the output.

Citation

Bain, O., Billingham, J., Houston, P., & Lowndes, I. (2015). Flows of granular material in two-dimensional channels. Journal of Engineering Mathematics, https://doi.org/10.1007/s10665-015-9810-1

• Journal Article Type: Article
• Publication Date: Jul 31, 2015
• Deposit Date: Aug 26, 2015
• Publicly Available Date: Aug 26, 2015
• Journal: Journal of Engineering Mathematics
• Print ISSN: 0022-0833
• Electronic ISSN: 0022-0833
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1007/s10665-015-9810-1
• Keywords: granular materials, continuum approximation, finite; elements
• Public URL: https://nottingham-repository.worktribe.com/output/755831
• Publisher URL: http://link.springer.com/article/10.1007/s10665-015-9810-1