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A relationship between wave steepness and wave age for wind waves in deep water
作者姓名:刘斌  丁赟  长龙
作者单位:Physical Oceanography Laboratory and Institute of Physical Oceanography Ocean University of China Qingdao 266003 China College of Meteorology PLA University of Science and Technology Nanjing 211101 China,Physical Oceanography Laboratory and Institute of Physical Oceanography Ocean University of China Qingdao 266003 China Department of Surveying Guangdong Electric Power Design Institute Guangzhou 510600 China,Physical Oceanography Laboratory and Institute of Physical Oceanography Ocean University of China Qingdao 266003 China
基金项目:教育部高等学校骨干教师资助计划;国家自然科学基金
摘    要:Studying the relationship between wave steepness and wave age is important for describing wind wave growth with energy balance equation of significant waves. After invoking the dispersion rela- tion of surface gravity wave in deep water, a new relationship between wave steepness and wave age is revealed based on the “3/2-power law” (Toba, 1972), in which wave steepness is a function of wave age with a drag coefficient as a parameter. With a given wave age, a larger drag coefficient would lead to larger wave steepness. This could be interpreted as the result of interaction between wind and waves. Comparing with previous relationships, the newly proposed one is more consistent with observational data in field and laboratory.

关 键 词:海洋动力学  深水环境  波浪  波陡  波龄
收稿时间:2005-10-14
修稿时间:2006-05-11

A relationship between wave steepness and wave age for wind waves in deep water
Liu?Bin,Ding?Yun,Guan?Changlong??.A relationship between wave steepness and wave age for wind waves in deep water[J].Chinese Journal of Oceanology and Limnology,2007,25(1):36-41.
Authors:Liu Bin  Ding Yun  Guan Changlong ?
Institution:(1) Physical Oceanography Laboratory and Institute of Physical Oceanography, Ocean University of China, Qingdao, 266003, China;(2) College of Meteorology, PLA University of Science and Technology, Nanjing, 211101, China;(3) Department of Surveying, Guangdong Electric Power Design Institute, Guangzhou, 510600, China
Abstract:Studying the relationship between wave steepness and wave age is important for describing wind wave growth with energy balance equation of significant waves. After invoking the dispersion relation of surface gravity wave in deep water, a new relationship between wave steepness and wave age is revealed based on the “3/2-power law” (Toba, 1972), in which wave steepness is a function of wave age with a drag coefficient as a parameter. With a given wave age, a larger drag coefficient would lead to larger wave steepness. This could be interpreted as the result of interaction between wind and waves. Comparing with previous relationships, the newly proposed one is more consistent with observational data in field and laboratory. Supported by Specialized Research Fund for Doctoral Program of Higher Education (No.20040423002) and by National Natural Science Foundation of China (No.40476008)
Keywords:wave steepness  wave age  relationship between wave steepness and wave age  drag coefficient  3/2-power law
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