Axisymmetric and two-dimensional dam-break problems are solved under the shallow layer approximation and with basal Coulomb friction in a first attempt to model recent granular slumping experiments [G. Lube, H. E. Huppert, R. S. J. Sparks, and M. A. Hallworth, J. Fluid Mech. 508, 175 (2004); E. Lajeunesse, A. Mangeney-Castelnau, and J. P. Vilotte, Phys. Fluids 16, 2371 (2004); N. J. Balmforth and R. R. Kerswell, J. Fluid Mech. (in press)]. The axisymmetric model predicts a scaling law for the ratio of initial to final maximum heights which compares well with the slumping data over a wide range of , the initial aspect ratio ( and are the initial height and radius). The predicted runout scaling , however, significantly overestimates the data runout which behaves more like ( being the maximum final radius). This situation may be improved by redefining the runout to take account of the finite granule size but a noticeable discrepancy still remains. The runout scaling prediction in the two-dimensional case mirrors the axisymmetric result, whereas in two dimensions with as and where is the initial base length of the column. The limitations of the model and possible improvements are discussed.
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Research Article|
April 07 2005
Dam break with Coulomb friction: A model for granular slumping?
R. R. Kerswell
R. R. Kerswell
a)
Department of Mathematics,
University of Bristol
, Bristol BS8 1TW, United Kingdom
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Electronic mail: R.R.Kerswell@bris.ac.uk
Physics of Fluids 17, 057101 (2005)
Article history
Received:
October 15 2004
Accepted:
January 25 2005
Citation
R. R. Kerswell; Dam break with Coulomb friction: A model for granular slumping?. Physics of Fluids 1 May 2005; 17 (5): 057101. https://doi.org/10.1063/1.1870592
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