Dam break with Coulomb friction: A model for granular slumping?

RR Kerswell

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

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 h(0)/h(infinity)proportional to a for the ratio of initial to final maximum heights which compares well with the slumping data over a wide range of a:=h(0)/r(0), the initial aspect ratio (h(0) and r(0) are the initial height and radius). The predicted runout scaling (r(infinity)-r(0))/r(0)proportional to a, however, significantly overestimates the data runout which behaves more like root a(r(infinity) 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 h(0)/h(infinity)proportional to a(alpha) with alpha -> (2)/(3) as a ->infinity and a:=h(0)/l(0) where l(0) is the initial base length of the column. The limitations of the model and possible improvements are discussed. (c) 2005 American Institute of Physics.
Translated title of the contributionDam break with Coulomb friction: A model for granular slumping?
Original languageEnglish
Article numberArt. No. 057101
Pages (from-to)057101
Number of pages16
JournalPhysics of Fluids
Volume17 (5)
Publication statusPublished - May 2005

Bibliographical note

Publisher: Amer Inst Physics
Other identifier: IDS Number: 925SN

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