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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