Surface curvature of steady granular flows

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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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
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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