Abstract

Abstract. Drag and mass exchange coefficients are calculated within a self-consistent problem for the wave-induced air perturbations and mean velocity and density fields using a quasi-linear model based on the Reynolds equations with down-gradient turbulence closure. This second part of the report is devoted to specification of the model elements: turbulent transfer coefficients and wave number-frequency spectra. It is shown that the theory agrees with laboratory and field experimental data well when turbulent mass and momentum transfer coefficients do not depend on the wave parameters. Among several model spectra better agreement of the theoretically calculated drag coefficients with TOGA (Tropical Ocean Global Atmosphere) COARE (Coupled Ocean–Atmosphere Response Experiment) data is achieved for the Hwang spectrum (Hwang, 2005) with the high frequency part completed by the Romeiser spectrum (Romeiser et al., 1997).

Highlights

  • The most important characteristics that determine interaction between atmosphere and ocean are fluxes of momentum, heat and moisture

  • In numerical weather and climate models they are parameterized through the dimensionless exchange coefficients

  • We investigated the sensitivity of the drag coefficient and the mass transfer coefficient to the wave spectrum

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Summary

Introduction

The most important characteristics that determine interaction between atmosphere and ocean are fluxes of momentum, heat and moisture. The expressions for the turbulent transfer coefficients are selected based on comparison with available experimental data and the results of the special experiments carried out in a wind–wave flume to investigate velocity and temperature distribution in the stratified air boundary layer above the water surface disturbed by paddle-generated waves. The modification of the basic equations of a quasi-linear model of a turbulent stratified boundary layer above a wavy water surface to the case of the two-dimensional wave spectra are presented in Sect. In quasi-linear approximation the contribution of all surface waves to the mean velocity profile is determined by the momentum fluxes from wind to different harmonics. Since the wave-induced momentum and the mass fluxes decrease with the distance from the water surface, the boundary conditions for the mean velocity and density follow from (23, 24, 29):. Density and fluxes of momentum and mass were obtained from these calculations and exchange coefficients for neutral atmosphere CD10N and Cρ10N (see Zeng et al, 1998, and Part 1) were calculated

Surface elevation spectra
An appropriate model of the turbulent transfer coefficients
Comparison to the experimental data from the wind–wave flume of IAP RAS
Sensitivity of the model to the wave spectrum
Findings
Conclusions

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