The Spectrum of Turbulence

Taylor, G. I.

doi:10.1098/rspa.1938.0032

Cited by 2,345 publications

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“…Third, the slope of normalized spectra of u and v wind speed components was À2=3 in the inertial sub-range and agrees with Kaimal and Finnigan (1994), but the w spectra do not show such feature and they do not show the k À1 behavior. For comparison with atmospheric spectra, Taylor's hypothesis (Taylor 1938) is employed, i.e., (it is assumed that k ¼ 2pn=U) in mid frequencies (0:05 < nz=U < 1) as in Smeets (1998) and Hőg-strő m et al (1990).…”

Section: Resultsmentioning

confidence: 99%

The Turbulence Characteristics of the Atmospheric Surface Layer on the North Slope of Mt. Everest Region in the Spring of 2005

Zhong

2012

Journal of the Meteorological Society of Japan

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Turbulence measurements at 3 m performed at the base camp of Mt. Everest during the spring of 2005 were used to study the atmospheric turbulent characteristics under conditions of down-slope ambient wind (katabatic wind). The cases where large-scale forcing resulted in a down-slope ambient wind were considered. Firstly, the normalized standard deviations of wind speed (u and v components) were larger than those reported in the literature. Then the (co)spectral characteristics of turbulence under near neutral stratification were described depending on the prevailing wind; case A-southerly with wind speed larger than 6 m s À1 during daytime, case B-southerly with wind speed less than 6 m s À1 and case C-northerly wind. The analysis of the averaged spectra and co-spectra revealed that low frequency perturbations had a large influence on the variance of u and w wind components, and also altered the co-spectra of momentum and sensible heat flux under near neutral stratification. The features of spectral shape and power were di¤erent from the previous ones under ideal flat and homogeneous conditions. The possible cause of these features is due to strong down-valley flow induced by (normal) glacier wind.

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Section: Resultsmentioning

confidence: 99%

The Turbulence Characteristics of the Atmospheric Surface Layer on the North Slope of Mt. Everest Region in the Spring of 2005

Zhong

2012

Journal of the Meteorological Society of Japan

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“…The shape and amplitude of the waveform is maintained across the array as might be expected considering the distance over which the correlation persists. This produces a relatively flat-topped correlation curve that does not resemble an exponential but is closer to what one might expect given Taylor's fixed field hypothesis [24]. An exponential fit on the correlation of this event produces an unrealistic correlation length of 8.6 m. It is difficult to judge the quality of this estimate for this particular event because the event is so long, its beginning and end are not captured.…”

Section: Detecting Structure With the Convected Cross Correlationmentioning

confidence: 86%

Determining correlation and coherence lengths in turbulent boundary layer flight data

Palumbo

2012

Journal of Sound and Vibration

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a b s t r a c tWall pressure data acquired during flight tests at several flight conditions are analysed and the correlation and coherence lengths of the data reported. It is found that the correlation and coherence lengths are influenced by the origin of the structure producing the pressure and the frequency bandwidth over which the analyses are performed. It is shown how the frequency bandwidth biases the correlation length and how the convection of the pressure field might reduce the coherence measured between sensors. A convected form of the cross correlation and cross spectrum is introduced to compensate for the effects of convection. Coherence lengths measured in the streamwise direction appear much longer than expected. Coherent structures detected using the convected cross correlation do not exhibit an exponential coherent power decay.Published by Elsevier Ltd.

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“…We then apply Taylor's Hypothesis (Taylor 1938) to convert the temporal derivative into a spatial one. Noting that Thus for any given Atwood number, the minimum flow velocity which will satisfy the parabolic approximation was tabulated in …”

Section: Resultsmentioning

confidence: 99%

“…We define a dimensionless time, τ , similar to the one defined by Dalziel et al 1999;Ramaprabhu & Andrews 2004;Snider and Andrews 1994. The downstream distance x was converted to time t, using the Taylor hypothesis, t = x/U (Taylor 1938 ).…”

Section: Preliminariesmentioning

confidence: 99%

Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

Banerjee

Andrews

2006

Physics of Fluids

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A novel gas channel experiment was constructed to study the development of high Atwood number Rayleigh-Taylor mixing. Two gas streams, one containing air and the other containing helium-air mixture, flow parallel to each other separated by a thin splitter plate. The streams meet at the end of a splitter plate leading to the formation of an unstable interface and of buoyancy driven mixing. This buoyancy driven mixing experiment allows for long data collection times, short transients and was statistically steady. The facility was designed to be capable of large Atwood number studies of AB t B ~ 0.75. We describe work to measure the self similar evolution of mixing at density differences corresponding to 0.035 < AB t B < 0.25. Diagnostics include a constant temperature hot-wire anemometer, and high resolution digital image analysis. The hot-wire probe gives velocity, density and velocity-density statistics of the mixing layer. Two different multi-position single-wire techniques were used to measure the velocity fluctuations in three mutually perpendicular directions. Analysis of the measured data was used to explain the mixing as it develops to a self-similar regime in this flow. These measurements are to our iv knowledge, the first use of hot-wire anemometry in the Rayleigh-Taylor community.Since the measurement involved extensive calibration of the probes in a binary gas mixture of air and helium, a new convective heat transfer correlation was formulated to account for variable-density low Reynolds number flows past a heated cylinder. In addition to the hot-wire measurements, a digital image analysis procedure was used to characterize various properties of the flow and also to validate the hot-wire measurements. A test of statistical convergence was performed and the study revealed that the statistical convergence was a direct consequence of the number of different large three-dimensional structures that were averaged over the duration of the run.

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The Spectrum of Turbulence

Cited by 2,345 publications

References 0 publications

The Turbulence Characteristics of the Atmospheric Surface Layer on the North Slope of Mt. Everest Region in the Spring of 2005

The Turbulence Characteristics of the Atmospheric Surface Layer on the North Slope of Mt. Everest Region in the Spring of 2005

Determining correlation and coherence lengths in turbulent boundary layer flight data

Statistically steady measurements of Rayleigh-Taylor mixing in a gas channel

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