McElwaine, Jim and Takagi, Daisuke and Huppert, Herbert (2012) Surface curvature of steady granular flows. Granular Matter, 14 (2). pp. 229-234. ISSN 1434-5021 DOI https://doi.org/10.1007/s10035-012-0339-y
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McElwaine_et_al._-_2012_-_Surface_curvature_of_steady_granular_flows.pdf Restricted to Registered users only Download (415kB) |
Abstract
Laboratory experiments have shown that the steady flow of granular material down a rough inclined plane has a surface that is not parallel to the plane, but has a curvature across the slope with the height increasing toward the middle of the flow. We study this observation by postulating a new granular rheology, similar to that of a second order fluid. This model is applied to the experiments using a shallow water approximation, given that the depth of the flow is much smaller than the width. The model predicts that a second normal stress difference allows cross-slope height variations to develop in regions with considerable cross-slope velocity shear, consistent with the experiments. The model also predicts the development of lateral eddies, which are yet to be observed.
Item Type: | Article |
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Uncontrolled Keywords: | 2012AREP; IA63; |
Subjects: | 99 - Other |
Divisions: | 99 - Other |
Journal or Publication Title: | Granular Matter |
Volume: | 14 |
Page Range: | pp. 229-234 |
Identification Number: | https://doi.org/10.1007/s10035-012-0339-y |
Depositing User: | Sarah Humbert |
Date Deposited: | 25 May 2012 10:21 |
Last Modified: | 06 May 2020 15:35 |
URI: | http://eprints.esc.cam.ac.uk/id/eprint/2526 |
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