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Influence of the earth rotation on the interfacial wave solutions and wave-induced tangential stress in a twolayer fluid system
作者姓名:SONG Jinbao  LIU Yongjun
作者单位:Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Waves(KLOCAW), Chinese Academy of Sciences, Qingdao 266071, China,Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China;Key Laboratory of Ocean Circulation and Waves(KLOCAW), Chinese Academy of Sciences, Qingdao 266071, China;Graduate University of Chinese Academy of Sciences, Beijing 100039, China
基金项目:This research is supported by the National Science Fund for Distinguished Young Scholars of China under contract No. 40425015; the Knowledge Innovation Programs of the Chinese Academy of Sciences under contract Nos KZCX1-YW-12 and KZCX2-YW-201.
摘    要:Interfacial waves and wave-induced tangential stress are studied for geostrophic small amplitude waves of two-layer fluid with a top free surface and a flat bottom. The solutions were deduced from the general form of linear fluid dynamic equations of two-layer fluid under the f-plane approximation, and wave-induced tangential stress were estimated based on the solutions obtained. As expected, the solutions derived from the present work include as special cases those obtained by Sun et al. (2004. Science in China, Ser. D, 47(12):1147-1154) for geostrophic small amplitude surface wave solutions and wave-induced tangential stress if the density of the upper layer is much smaller than that of the lower layer. The results show that the interface and the surface will oscillate synchronously, and the influence of the earth''s rotation both on the surface wave solutions and the interfacial wave solutions should be considered.

关 键 词:two-layer  fluid  interfacial  waves  wave-induced  tangential  stress  earth  rotation
收稿时间:2008/1/9 0:00:00
修稿时间:2008/12/10 0:00:00

Influence of the earth rotation on the interfacial wave solutions and wave-induced tangential stress in a twolayer fluid system
SONG Jinbao,LIU Yongjun.Influence of the earth rotation on the interfacial wave solutions and wave-induced tangential stress in a twolayer fluid system[J].Acta Oceanologica Sinica,2009,28(2):115-120.
Authors:SONG Jinbao and LIU Yongjun
Institution:1. Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China 2 Key Laboratory of Ocean Circulation and Waves KLOCAW, Chinese Academy of Sciences, Qingdao 266071, China3 Graduate University of Chinese Academy of Sciences, Beijing 100039, China;Key Laboratory of Ocean Circulation and Waves (KLOCAW), Chinese Academy of Sciences, Qingdao 266071, China
2. Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China 2 Key Laboratory of Ocean Circulation and Waves KLOCAW, Chinese Academy of Sciences, Qingdao 266071, China3 Graduate University of Chinese Academy of Sciences, Beijing 100039, China;Key Laboratory of Ocean Circulation and Waves (KLOCAW), Chinese Academy of Sciences, Qingdao 266071, China;Graduate University of Chinese Academy of Sciences, Beijing 100039, China
Abstract:Interracial waves and wave-induced tangential stress are studied for geostrophic small amplitude waves of two-layer fluid with a top free surface and a flat bottom. The solutions were deduced from the general form of linear fluid dynamic equations of two-layer fluid under the f-plane approximation, and wave-induced tangential stress were estimated based on the solutions obtained.As expected, the solutions derived from the present work include as special cases those obtained by Sun et al. (2004. Science in China, Ser. D, 47(12): 1147-1154) for geostrophic small amplitude surface wave solutions and wave-induced tangential stress if the density of the upper layer is much smaller than that of the lower layer. The results show that the interface and the surface will oscillate synchronously, and the influence of the earth's rotation both on the surface wave solutions and the interfacial wave solutions should be considered.
Keywords:two-layer fluid  interfacial waves  wave-induced tangential stress  earth rotation
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