A Modified Hypothesis on Turbulence Spectra in the Buoyancy Subrange of Stably Stratified Shear Flow

Lin, J.; Panchev, S.; Cermak, Jack E.

doi:10.1029/rs004i012p01333

Cited by 12 publications

(11 citation statements)

References 4 publications

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“…more, there is a good correspondence between the A recent theoretical study of the buoyant subfeatures of the spectra and the spectral rates of range utilizing a generalized eddy-viscosity approxienergy change computed with the cospectra. The mation [Lin et al, 1969] shows that: comparison of the net rate of energy change and the spectrum E(•) obtained by summing the spectra for each component is shown in Figure 4.…”

Section: The Energy Budget Of Catmentioning

confidence: 99%

Empirical Studies of Atmospheric Structure and Spectra in the Free Atmosphere

Vinnichenko¹,

Dutton²

1969

Radio Science

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This review paper summarizes present knowledge about turbulence in the free atmosphere. Data from various sources allow the construction of an average spectrum of atmospheric motions which covers almost the entire range of periods from 1 second to 1 year. It is shown that the micrometeorological maximum, which probably exists in cases of moderate and severe CAT (clear air turbulence), is not separated from synoptic scale motions by a deep mesoscale gap. Theoretical considerations and observations in the laboratory, the ocean, and the free atmosphere suggest that CAT is a manifestation of the Kelvin‐Helmholtz instability. This implies that for better understanding of CAT, for forecasting, and for planning of air‐borne measurements, isentropic analysis of the meteorological situation is advisable. Sophisticated aircraft instrumentation is now beginning to yield data sufficiently accurate and detailed to make feasible the use of the powerful tool of energy budget analysis for CAT studies. Recent experiments in the atmosphere have not clarified the problem of the existence of the buoyant subrange and the corresponding behavior of the spectrum. Development of a high‐resolution vertical sounding technique permits the measurement of the spectra of the horizontal winds in the vertical direction, which may make possible the prediction of microturbulence features from vertical wind profile analysis. Temperature spectra in the free atmosphere are discussed, and the values of the temperature dissipation rate and of the structure function coefficient are calculated for CAT of several different intensities.

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Section: The Energy Budget Of Catmentioning

confidence: 99%

Empirical Studies of Atmospheric Structure and Spectra in the Free Atmosphere

Vinnichenko¹,

Dutton²

1969

Radio Science

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“…both theories are compatible. A closer relation between the two hypotheses was established by Lin (1969). He was the first to introduce the concept of intermediate interaction and suggested a model, in which the degree of interaction changes with respec& to an external numerical parameter.…”

Section: Discussionmentioning

confidence: 96%

“…Lumley-Shur's spectrum) in case of weak interaction. In this way Lin (1969) obtained the results of both theories as asymptotic parametric cases of a general solution of the spectral equations.…”

Section: Discussionmentioning

confidence: 99%

“…But by fixing a priori the degree of interaction (strong, weak, intermediate), as is done by Tchen (1953), Gissina (1966Gissina ( , 1969, Lin (1969) and others, actually means that the ratio between the gradients of the mean and fluctuation temperature fields is given in advance. However, only one of these quantities (Y) can be considered as constant; the other one (YT(k») varies with respect to the wave number k. The ratio between them will vary with respect to k too and will be different in different spectral domains.…”

Section: Discussionmentioning

confidence: 99%

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Spectra of thermally stratified turbulent flow with no shear

Panchev

Syrakov

1971

Tellus

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In this paper a new analytical approximation, concerning the integral ∫∞kφWT(p) dp in the spectral equations (3), (4) is suggested. It is based on the physical idea about natural realization of the degree of interaction between the mean and fluctuating fields and is analytically expressed by the formulae (10, (12) and (13). In the extreme cases of strong and weak interaction the general expression (13) has (11) as its asymptotes. The system of spectral equations (14), (15) is solved numerically and the result is presented in the figure. It is seen that in case of stable stratification, a general inertial range exists, in the middle of which a buoyancy subrange appears with slopes of the spectral curves as shown in the figure. The results eliminate the so far unresolved contradiction between the theories of Bolgiano and Lumley. Shur and agree well with the experimental data.

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“…(10) and based on these considerations as well as those of the dimensionality of the quantities involved, one has (see Ref. 4 for details)…”

Section: A Quick Review Of Turbulence Mechanics and Development Of Thmentioning

confidence: 99%

A microwave radiometric method to obtain the average path profile of atmospheric temperature and humidity structure parameters and its application to optical propagation system assessment

Manning

Vyhnalek

2015

SPIE Proceedings

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The values of the key atmospheric propagation parameters C T 2 , C Q 2 , and C TQ are highly dependent upon the vertical height within the atmosphere thus making it necessary to specify profiles of these values along the atmospheric propagation path. The remote sensing method suggested and described in this work makes use of a rapidly integrating microwave profiling radiometer to capture profiles of temperature and humidity through the atmosphere. The integration times of currently available profiling radiometers are such that they are approaching the temporal intervals over which one can possibly make meaningful assessments of these key atmospheric parameters. Since these parameters are fundamental to all propagation conditions, they can be used to obtain C n 2 profiles for any frequency, including those for an optical propagation path. In this case the important performance parameters of the prevailing isoplanatic angle and Greenwood frequency can be obtained. The integration times are such that Kolmogorov turbulence theory and the Taylor frozen-flow hypothesis must be transcended. Appropriate modifications to these classical approaches are derived from first principles and an expression for the structure functions are obtained. The theory is then applied to an experimental scenario and shows very good results.

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A Modified Hypothesis on Turbulence Spectra in the Buoyancy Subrange of Stably Stratified Shear Flow

Cited by 12 publications

References 4 publications

Empirical Studies of Atmospheric Structure and Spectra in the Free Atmosphere

Empirical Studies of Atmospheric Structure and Spectra in the Free Atmosphere

Spectra of thermally stratified turbulent flow with no shear

A microwave radiometric method to obtain the average path profile of atmospheric temperature and humidity structure parameters and its application to optical propagation system assessment

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