A relationship between wave steepness and wave age for wind waves in deep water

Bin Liu; Yun Ding; Changlong Guan

doi:10.1007/s00343-007-0036-6

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A relationship between wave steepness and wave age for wind waves in deep water

OriginalPaper | Updated：2023-05-16

- A relationship between wave steepness and wave age for wind waves in deep water
- A relationship between wave steepness and wave age for wind waves in deep water
- 海洋湖沼学报（英文） 2007年25卷第1期页码：36-41
- Affiliations：
  
  1. Physical Oceanography Laboratory and Institute of Physical Oceanography Ocean University of China
  2. College of Meteorology PLA University of Science and Technology
  3. Department of Surveying Guangdong Electric Power Design Institute
- Author bio：
- Funds：
  
  Supported by Specialized Research Fund for Doctoral Program of Higher Education (No.20040423002) and by National Natural Science Foundation of China (No.40476008)
- DOI：10.1007/s00343-007-0036-6
  中图分类号：
- 纸质出版：2007
- Accepted：
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A relationship between wave steepness and wave age for wind waves in deep water[J]. 海洋湖沼学报（英文）, 2007,25(1):36-41.

Liu, B., Ding, Y. & Guan, C. A relationship between wave steepness and wave age for wind waves in deep water., Chin. J. Ocean. Limnol. 25, 36–41 (2007). https://doi.org/10.1007/s00343-007-0036-6
A relationship between wave steepness and wave age for wind waves in deep water[J]. 海洋湖沼学报（英文）, 2007,25(1):36-41. DOI： 10.1007/s00343-007-0036-6.

Liu, B., Ding, Y. & Guan, C. A relationship between wave steepness and wave age for wind waves in deep water., Chin. J. Ocean. Limnol. 25, 36–41 (2007). https://doi.org/10.1007/s00343-007-0036-6 DOI：

摘要

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.

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references

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