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Flows of granular material in two-dimensional channels

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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 (Jop et al., Nature 441:727–730, 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 impacts on the output.

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Acknowledgments

We would like to thank the EPSRC and Terex Pegson, especially Ian Boast and Tim Cummings of Terex Pegson, for their promotion and sponsorship of this CASE project. We also thank the the University of Nottingham for their wonderful staff and facilities.

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Authors and Affiliations

  1. Aberystwyth University, Aberystwyth, UK

    Oliver Bain

  2. University of Nottingham, Nottingham, UK

    John Billingham, Paul Houston & Ian Lowndes

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  1. Oliver Bain
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  2. John Billingham
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  3. Paul Houston
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  4. Ian Lowndes
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Correspondence to Oliver Bain.

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Bain, O., Billingham, J., Houston, P. et al. Flows of granular material in two-dimensional channels. J Eng Math 98, 49–70 (2016). https://doi.org/10.1007/s10665-015-9810-1

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  • DOI: https://doi.org/10.1007/s10665-015-9810-1

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