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Journal ArticleDOI

On the wave age dependent drag coefficient and roughness length at sea

Thor Erik Nordeng
- 15 Apr 1991 - 
- Vol. 96, pp 7167-7174
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TLDR
In this article, the wave age dependent drag coefficient and roughness length at sea have been studied theoretically by using the simple Phillips spectrum with a wave age-dependent Phillips coefficient, and it is shown that the turbulent surface stress, which is computed in a reference frame moving with the surface waves according to Kitaigorodskii's ideas, leads to an effective Charnock constant in the range 0.010 to 0.022.
Abstract
The wave age dependent drag coefficient and roughness length at sea have been studied theoretically by using the simple Phillips spectrum with a wave age dependent Phillips coefficient. It is shown that the turbulent surface stress, which is computed in a reference frame moving with the surface waves according to Kitaigorodskii's ideas, leads to a wave age dependent Charnock constant in the range 0.010 to 0.022. The wave-induced stress is computed by using well-established empirical functions of wave growth and assuming that there is a cutoff frequency above which the atmospheric momentum goes to the turbulent stress only. This leads to a total surface stress depending on wave age such that the drag coefficient has a maximum for intermediate wave age numbers (∼10). The total surface stress (turbulent and wave induced) is used to compute an effective Charnock constant, which is found to vary from 0.012 to 0.085. The results are compared with published observations.

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Citations
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References
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Book

Evaporation into the atmosphere

TL;DR: In this paper, the authors describe the process of evaporation into the atmosphere and its effect on the environment. But they do not discuss its application in the field of meteorology.
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Wind stress on a water surface

TL;DR: In this paper, the vertical distribution of horizontal mean wind in the lowest 8 metres over a reservoir (1·6 km × 1 km) has been measured using sensitive anemometers freely exposed from a fixed mast in water 16 m deep, the fetch being more than 1 km.
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On the generation of surface waves by shear flows

TL;DR: In this paper, an approximate solution to the boundary value problem is developed for a logarithmic profile and the corresponding spectral distribution of the energy transfer coefficient calculated as a function of wave speed.
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