| EPSRC Reference: |
GR/R75304/01 |
| Title: |
Shock Waves, dead zones and particle-free regions in rapid granular free surface flows |
| Principal Investigator: |
Gray, Professor N |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
Victoria University of Manchester, The |
| Scheme: |
Fast Stream |
| Starts: |
01 June 2002 |
Ends: |
29 February 2004 |
Value (£): |
61,972
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| Manufacturing |
Chemicals |
| Environment |
Food and Drink |
| Pharmaceuticals and Biotechnology |
No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Rapid granular free surface flows, or granular avalanches, are one of the most important particle transport mechanisms in both industrial processes and our natural environment. This proposal aims to investigate the formation of shock waves, dead (no flow) zones and particle free regions, which have recently been observed in two and three-dimensional avalanche flows over obstacles and around curved walls. These features are not only interesting in their own right, but contain a great deal of constitutive information that can be used to improve existing mathematical models. An exact solution for normal shocks, which are similar to bores in shallow water theory and often occur on non-accelerative slopes, will be be used to indirectly determine the ratio of longitudinal to normal stress, which is a crucial quantity in the theory. This information, together with qualitative differences in the solutions of two key models in steady flow, will be used to determine whether a simple isotropic hydrostatic pressure field is sufficient to model these flows, or whether a more complicated non-linear stress field with jump transitions is required. A simplified theory will be used to make a first attempt at modelling these phenomena on fully three-dimensional chutes with obstacles and curvilinear side walls and the results will be compared with experiments. These flows are particularly significant, because they can be used to protect buildings and structures from granular avalanches.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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