TECHNICAL PAPERS
Dec 1, 1994

Newtonian Fluid Mechanics Treatment of Debris Flows and Avalanches

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Publication: Journal of Hydraulic Engineering
Volume 120, Issue 12

Abstract

Calculations are carried out first for steady fully developed laminar flow on a slope. Application of this result to field data published in a previous paper by another author suggests that many debris flows are laminar. Then singular perturbation techniques are used to obtain first‐order solutions for unsteady non‐uniform flow from a point source on a steep slope. Solutions are obtained for both laminar and turbulent flows, and it is found that the laminar flow model gives the best description of laboratory data obtained by a previous investigator. A number of differences are observed in the behavior of the outer (kinematic wave) solutions for laminar and turbulent flow, and it is suggested that it is probably not possible to describe all debris flows and avalanches with laminar flow models. It is also suggested that more comparisons need to be made between theoretical results and field data measurements.

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References

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Bagnold, R. A. (1954). “Experiments on a gravity‐free disperion of large solid spheres in a Newtonian fluid under shear.” Proc., Royal Society, London, England, Series A, 225, 49–63.
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Davies, T. R. H. (1990). “Debris‐flow surges—experimental simulation.” J. Hydro., New Zealand, 29(1), 18–46.
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Hungr, O., and Morgan, G. C. (1984). “Quantitative analysis of debris torrent hazards for design of remedial measures.” Can. Geotech. J., Vol. 21, 663–677.
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Hungr, O. (1988). “Notes on dynamic analysis of flowslides.” Landslides, C. Bonnard, ed., Vol. 1, A. A. Balkema Publishers, Brookfield, Vt., 679–683.
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Hsu, K. J. (1978). “Albert Heim: observations on landslides and relevance to modern interpretations.” Rockslides and avalanches, B. Voight, ed., Vol. 1, Elsevier Scientific Publishing Co., New York, N.Y., 71–93.
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Mainali, A., and Rajaratnam, N. (1991). “Hydraulics of debris flows—a review.” Tech. Rep. (WRE91‐2), Dept. Civ. Engrg., Univ. of Alberta, Edmonton, Alberta, Canada.
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Mellor, M. (1978). “Dynamics of snow avalanches.” Rockslides and avalanches, B. Voight, ed., Vol. 1, Elsevier Scientific Publishing Co., New York, N.Y., 753–792.
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Rockslides and avalanches; Vols. 1 and 2. (1978). B. Voight, ed., Elsevier Scientific Publishing Co., New York, N.Y.
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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 120Issue 12December 1994
Pages: 1350 - 1363

History

Received: Oct 20, 1993
Published online: Dec 1, 1994
Published in print: Dec 1994

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Bruce Hunt
Reader, Civ. Engrg. Dept., Univ. of Canterbury, Private Bag 4800, Christchurch, New Zealand

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