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Methods of similitude in granular avalanche flows

Tai, Yih-Chin ; Wang, Yongqi ; Gray, J. M. N. T. ; Hutter, Kolumban
eds.: Hutter, Kolumban ; Wang, Yongqi ; Beer, Hans (1999)
Methods of similitude in granular avalanche flows.
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
Book Section

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 ; Wang, Yongqi ; Beer, Hans
Creators: Tai, Yih-Chin ; Wang, Yongqi ; Gray, J. M. N. T. ; Hutter, Kolumban
Type of entry: Bibliographie
Title: Methods of similitude in granular avalanche flows
Language: English
Date: 1 January 1999
Place of Publication: Berlin, Heidelberg
Publisher: Springer
Issue Number: 533
Book Title: 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: Lecture Notes in Physics
URL / URN: 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.

Additional Information:

DOI: 10.1007/BFb0104200

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
Last Modified: 08 Aug 2019 12:44
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