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Methods of similitude in granular avalanche flows

Tai, Yih-Chin and Wang, Yongqi and Gray, J. M. N. T. and Hutter, Kolumban
Hutter, Kolumban and Wang, Yongqi and Beer, Hans (eds.) :

Methods of similitude in granular avalanche flows.
[Online-Edition: http://dx.doi.org/10.1007/BFb0104200]
In: Advances in Cold-Region Thermal Engineering and Sciences: Technological, Environmental, and Climatological Impact Proceedings of the 6th International Symposium Held in Darmstadt, Germany, 22–25 August 1999. Lecture Notes in Physics (533). Springer, Berlin, Heidelberg , pp. 415-428. ISBN 3-540-66333-9
[Book Section] , (1999)

Official URL: http://dx.doi.org/10.1007/BFb0104200

Abstract

Snow avalanches are relatively dry and dense granular flows for which the Savage-Hutter (SH) equations have been demonstrated to be an adequate mathematical model. We review these equations and point out for which cases the equations have been tested against laboratory experiments. Since the equations are scale invariant and because agreement with experiments is good, laboratory experiments can be used to test realistic flows. This is detailed in this paper. We demonstrate how shocks are formed when dilatational flow states merge into compacting states and show that shock formation is an essential mechanism in flows against obstructions. We finally apply the theory of similitude to the design of a projected avalanche protection structure of the Schneefernerhaus at the Zugspitze.

Item Type: Book Section
Erschienen: 1999
Editors: Hutter, Kolumban and Wang, Yongqi and Beer, Hans
Creators: Tai, Yih-Chin and Wang, Yongqi and Gray, J. M. N. T. and Hutter, Kolumban
Title: Methods of similitude in granular avalanche flows
Language: English
Abstract:

Snow avalanches are relatively dry and dense granular flows for which the Savage-Hutter (SH) equations have been demonstrated to be an adequate mathematical model. We review these equations and point out for which cases the equations have been tested against laboratory experiments. Since the equations are scale invariant and because agreement with experiments is good, laboratory experiments can be used to test realistic flows. This is detailed in this paper. We demonstrate how shocks are formed when dilatational flow states merge into compacting states and show that shock formation is an essential mechanism in flows against obstructions. We finally apply the theory of similitude to the design of a projected avalanche protection structure of the Schneefernerhaus at the Zugspitze.

Title of Book: Advances in Cold-Region Thermal Engineering and Sciences: Technological, Environmental, and Climatological Impact Proceedings of the 6th International Symposium Held in Darmstadt, Germany, 22–25 August 1999
Series Name: Lecture Notes in Physics
Number: 533
Place of Publication: Berlin, Heidelberg
Publisher: Springer
Divisions: Study Areas
16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Study Areas > Study Area Mechanic
Date Deposited: 30 Aug 2011 14:37
Official URL: http://dx.doi.org/10.1007/BFb0104200
Additional Information:

DOI: 10.1007/BFb0104200

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