Momentum and buoyancy transfer in atmospheric turbulent boundary layer over wavy water surface – Part 1: Harmonic wave

Troitskaya, Yuliya; Ezhova, Ekaterina; Зилитинкевич, С.

doi:10.5194/npg-20-825-2013

Cited by 8 publications

(5 citation statements)

References 40 publications

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“…The formulation of the problem is very similar to the approach by Makin and Mastenbroek (1996) and the main difference is in the model of MABL used. Principle equations of the model are presented in the first part (Troitskaya et al, 2013), hereafter referred to as Part 1. It is a self-consistent quasi-linear model of MABL based on the Reynolds equations with down-gradient turbulence closure, which extents to the case of a stratified MABL, the model developed for the case of homogeneous atmosphere by Reutov and Troitskaya (1996) and Troitskaya and Rybushkina (2008).…”

Section: Introductionmentioning

confidence: 99%

Momentum and buoyancy transfer in atmospheric turbulent boundary layer over wavy water surface – Part 2: Wind–wave spectra

Troitskaya

Ezhova

Sergeev

et al. 2013

Nonlin. Processes Geophys.

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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 numberfrequency 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).

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Section: Introductionmentioning

confidence: 99%

Momentum and buoyancy transfer in atmospheric turbulent boundary layer over wavy water surface – Part 2: Wind–wave spectra

Troitskaya

Ezhova

Sergeev

et al. 2013

Nonlin. Processes Geophys.

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“…into the 2D Navier‐Stokes equations and linearization with respect to χ 1 , ψ 1 , and Θ 1 . The resulting equations can be written in the curvilinear coordinates ( ξ , η ) in the form (Troitskaya et al (, )):

\begin{matrix} i k (\frac{d ψ_{0}}{d η} χ_{1} - \frac{d χ_{0}}{d η} ψ_{1}) - \frac{i k g}{Θ_{0}} (Θ_{1} - a \frac{d Θ}{d η} {normale}^{- k η}) \\ = ν (\frac{{normald}^{2} χ_{1}}{d η^{2}} - k^{2} χ_{1}), \end{matrix}

\frac{d^{2} ψ_{1}}{normald η^{2}} - k^{2} ψ_{1} = χ_{1} - 2 a k e^{prefix- k η} χ_{0},

normali k ((), \frac{normald ψ_{0}}{normald η} Θ_{1} - \frac{normald Θ}{normald η} ψ_{1}) = \frac{ν}{P r} ((), \frac{d^{2} Θ_{1}}{normald η^{2}} - k^{2} Θ_{1}) .

…”

Section: The Resonant Mechanism Of Secondary Instabilitymentioning

confidence: 99%

“…in terms of vorticity χ, stream function ψ and temperature (Troitskaya et al (2013a(Troitskaya et al ( , 2013b. We consider a 2D base flow with the velocity and temperature profiles coinciding with the steady-state mean velocity and temperature profiles in DNS, U(η) and (η).…”

Section: The Resonant Mechanism Of Secondary Instabilitymentioning

confidence: 99%

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Stably stratified air‐flow over a waved water surface. Part 2: Wave‐induced pre‐turbulent motions

Druzhinin

Troitskaya

Зилитинкевич

2015

Quart J Royal Meteoro Soc

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Recent experimental and direct numerical simulation (DNS) studies have discovered that stably stratified boundary‐layer turbulence over a flat surface is characterized by the critical Reynolds number, ReL, based on the Obukhov turbulent length‐scale and the friction velocity, such that the transition from turbulent to laminar regime occurs at ReL ≈ 102. We have performed DNS of stably stratified flows over both flat and waved surfaces for a wide range of bulk Reynolds numbers and Richardson numbers and revealed that the same threshold, ReL = 102, holds true over waved surfaces. However, when the surface wave slope is sufficiently steep, the supercritically stratified flow involves wave‐induced, ‘pre‐turbulent’ flow patterns, most pronounced in the vicinity of the waved water surface. In the present article, we study basic properties of these motions through DNS and propose a theoretical model of their generation via secondary parametric resonance instability of two‐dimensional disturbances induced in the air‐flow by the surface waves.

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“…The influence of wave disturbances on the heat transfer is weaker than on the momentum transfer—at moderate wind speeds, the heat flux controlled by wave‐induced disturbances is a fraction of the percentage of the turbulent heat flux (see a discussion of this issue, e.g., in Troitskaya et al, 2013). As a result, the effect of waves on the temperature roughness z 0 T is practically negligible; the temperature roughness is mostly determined by the molecular transfer and decreases with the increase of the wind friction velocity according to Liu et al (1979).…”

Section: Introductionmentioning

confidence: 99%

A Laboratory Study of the Effect of Surface Waves on Heat and Momentum Transfer at High Wind Speeds

et al. 2020

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This paper describes laboratory experiments (using a high‐speed wind‐wave flume) of the effects of water waves on heat and momentum exchange in the near‐water atmospheric boundary layer at high wind speeds. Different from previous experiments of this type, the parameters of waves were controlled by a net stretched along the entire channel to effectively decrease the fetch. This helped to achieve dependency of the transfer coefficients on two independent parameters, namely, the wind speed and fetch (expressed via variations of the wavefield). Another key to the experiment was using a stable temperature stratification of the air flow, with the temperature of the air entering the flume 15–25° higher than the water. The experiments showed a sharp increase in the heat exchange coefficient at winds exceeding 33–35 m/s, similar to that observed earlier in the high‐speed wind‐wave flume of Kyoto University with conditions of unstable temperature stratification of the air flow. The joint analysis of the data obtained in the high‐speed wind‐wave flumes of IAP RAS and Kyoto University yields the universal dependency of the exchange coefficients and the temperature roughness on the peak wave number of surface wave spectra. This is independent of the type of temperature stratification of the atmospheric boundary layer, either stable or unstable. The sharp increase in the heat exchange coefficient is shown to be associated with increased whitecapping.

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Momentum and buoyancy transfer in atmospheric turbulent boundary layer over wavy water surface – Part 1: Harmonic wave

Cited by 8 publications

References 40 publications

Momentum and buoyancy transfer in atmospheric turbulent boundary layer over wavy water surface – Part 2: Wind–wave spectra

Momentum and buoyancy transfer in atmospheric turbulent boundary layer over wavy water surface – Part 2: Wind–wave spectra

Stably stratified air‐flow over a waved water surface. Part 2: Wave‐induced pre‐turbulent motions

A Laboratory Study of the Effect of Surface Waves on Heat and Momentum Transfer at High Wind Speeds

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