Tai, Yih-Chin ; Wang, Yongqi ; Gray, J. M. N. T. ; Hutter, Kolumban
Hutter, Kolumban ; Wang, Yongqi ; Beer, Hans (eds.) (1999):
Methods of similitude in granular avalanche flows.
In: Lecture Notes in Physics, 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, pp. 415-428, Berlin, Heidelberg, Springer, ISBN 3-540-66333-9,
[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 |
| 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 |
| ISBN: | 3-540-66333-9 |
| 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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