| Xu Zhaoting,Lou Shunli,Tian Jiwei,Samuel Shan pu Shen.On hydraulic falls of two-layer flow[J].Acta Oceanologica Sinica,1996,(2):179-191 |
| On hydraulic falls of two-layer flow |
| On hydraulic falls of two-layer flow |
| 投稿时间：1995-03-21 修订日期：1996-03-24 |
| DOI： |
| 中文关键词: fKdV equation hydraulic fall two-layer flow subcritical cutoff point |
| 英文关键词:fKdV equation hydraulic fall two-layer flow subcritical cutoff point |
| 基金项目:This work was supported by the Foundation of the State Education Commission "The dynamics of upper ocean". |
| 作者 | 单位 | | Xu Zhaoting | Institute of Physical Deeanopaphy, Physical oceanography Laboratory, Ocean University Of Qngdao, Qngdao 266003, China | | Lou Shunli | Institute of Physical Deeanopaphy, Physical oceanography Laboratory, Ocean University Of Qngdao, Qngdao 266003, China | | Tian Jiwei | Institute of Physical Deeanopaphy, Physical oceanography Laboratory, Ocean University Of Qngdao, Qngdao 266003, China | | Samuel Shan pu Shen | Department of Mathematics, Applied Mathematics institute, University of Alberta, Edmondon T6G 2G1. Canada |
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| 中文摘要: |
| Abstract-Hydraulic falis and asymptotic mean levels of two-layer flow are determined by means of AfKdV equation in phase coordinate theoretically.By present theory,the hydraulic falls HMr depend on a characteristic value of the AfKdV equation at the subcritical cutoff points F.It is proved that the differences of the asymptotic mean levels upstream and downstream at the subcritical cutoff points ate equal to 2F.A relation between F and the asymptotic mean levels at the subcritical cutoff points is also found in teens of the solution of the hydraulic falls.Because the AfKdV equation is derived based on the small topography assumption,for semicircular topography the valid region of this theory is α < 0.35,in which α is radius of the semicircular topography.An experiment is carried out to examine the theory of the present paper.From comparisons between the theoretical and experimental results,it is shown that they are in better agreement.Under conditions of different stratified parameters,the hydraulic falls of two-layer flow are predictad theoretically. |
| 英文摘要: |
| Abstract-Hydraulic falis and asymptotic mean levels of two-layer flow are determined by means of AfKdV equation in phase coordinate theoretically.By present theory,the hydraulic falls HMr depend on a characteristic value of the AfKdV equation at the subcritical cutoff points F.It is proved that the differences of the asymptotic mean levels upstream and downstream at the subcritical cutoff points ate equal to 2F.A relation between F and the asymptotic mean levels at the subcritical cutoff points is also found in teens of the solution of the hydraulic falls.Because the AfKdV equation is derived based on the small topography assumption,for semicircular topography the valid region of this theory is α < 0.35,in which α is radius of the semicircular topography.An experiment is carried out to examine the theory of the present paper.From comparisons between the theoretical and experimental results,it is shown that they are in better agreement.Under conditions of different stratified parameters,the hydraulic falls of two-layer flow are predictad theoretically. |
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