| Xu Zhaoting,Tian Jiwei,Lou Shunli,Samuel Shan pn Shen. 1996. On hydraulic falls of single-layer flow. Acta Oceanologica Sinica, (1):19－30 |
| On hydraulic falls of single-layer flow |
| On hydraulic falls of single-layer flow |
| Received:April 21, 1995 Revised:July 10, 1995 |
| DOI： |
| Key words:Hydraulic fall fKdV equation subcritical cutoff point single-layer flow |
| 中文关键词: Hydraulic fall fKdV equation subcritical cutoff point single-layer flow |
| 基金项目:This work was supported by the Foundation of State Education Commission |
| Author Name | Affiliation | | Xu Zhaoting | Institute of Physical Oceanoraphy and Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China | | Tian Jiwei | Institute of Physical Oceanoraphy and Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China | | Lou Shunli | Institute of Physical Oceanoraphy and Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China | | Samuel Shan pn Shen | Department of Mathematics and Institute of Applied Mathematics, University of Alberta, Edmonton, T6G 2G1, Canada |
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| Abstract: |
| Hydraulic falls of single-layer flow are determined theoretically in terms of a time-dependent averaged AfKdV equation (AfKdV equation) in phase coordinate.From the theory of the present paper it was known that difference of the asymptotic mean IeveLs upstream and downsream at the subcritical cutoff points is just equal to a subcritical value of the AfKdV equation-2X.An experiment is carried out to examine the theoretical results.From rnmparison between theoretical and experimental results, it was shown that they are in good agreement.At the same time, it should be pointed out that the theory of the present paper is agreement with the experimental and numerical results of Forties and can be employed to find the generating properties of the precursor solitons at near-resonance. |
| 中文摘要: |
| Hydraulic falls of single-layer flow are determined theoretically in terms of a time-dependent averaged AfKdV equation (AfKdV equation) in phase coordinate.From the theory of the present paper it was known that difference of the asymptotic mean IeveLs upstream and downsream at the subcritical cutoff points is just equal to a subcritical value of the AfKdV equation-2X.An experiment is carried out to examine the theoretical results.From rnmparison between theoretical and experimental results, it was shown that they are in good agreement.At the same time, it should be pointed out that the theory of the present paper is agreement with the experimental and numerical results of Forties and can be employed to find the generating properties of the precursor solitons at near-resonance. |
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