A measurement of Lagrangian velocity autocorrelation in approximately isotropic turbulence

Shlien, D. J.

doi:10.1017/s002211207400067x

Cited by 69 publications

(26 citation statements)

References 17 publications

(15 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Basing his work on the experimental results of Comte-Bellot and Corrsin (1971) and Shlien and Corrsin (1974), Tennekes (1975) argued that, even in a flow with zero mean velocity, the largest eddies would 'sweep' the small eddies past a fixed point and that this effect would dominate the temporal Eulerian statistics. In part I, we discussed this quantitatively with the help of space-time scale functions, and showed that indeed, for times below the eddy turnover time of the largest eddy, this is likely to be true.…”

Section: Introductionmentioning

confidence: 99%

Scaling turbulent atmospheric stratification. III: Space–time stratification of passive scalars from lidar data

Radkevich¹,

Lovejoy²,

Strawbridge³

et al. 2008

Quart J Royal Meteoro Soc

View full text Add to dashboard Cite

ABSTRACT:In this third and final part of the series, we concentrate on the temporal behaviour of atmospheric passive scalars. We first recall that -although the full (x, y, z, t) turbulent processes respect an anisotropic scale invariance -that due to advection -the generator will generally not be a diagonal matrix. This implies that the scaling of (1-D) temporal series will generally involve three exponents in real space: 1/3, 1/2, 3/5, for spectra β τ = 5/3, 2, 11/5, with the first and last corresponding to domination by advection (horizontal and vertical respectively), and the second to pure temporal development (no advection). We survey the literature and find that almost all the empirical β τ values are indeed in the range 5/3 to 2. We then use meteorological analyses to argue that, although pure temporal development is unlikely to be dominant for time-scales less than the eddy turnover time of the largest structures (about 2 weeks), an intermittent vertical velocity could quite easily explain the occasionally observed β τ ≈ 2 spectra.We then use state-of-the-art vertically pointing lidar data of backscatter ratios from both aerosols and cirrus clouds yielding several (z, t) vertical space-time cross-sections with resolution of 3.75 m in the vertical, 0.5-30 s in time and spanning 3-4 orders of magnitude in temporal scale. We first test the predictions of the anisotropic, multifractal extension of the Corrsin-Obukhov law in the vertical and in time, separately finding that the cirrus and aerosol backscatters both followed the theoretical (anisotropic) scalings accurately; three of the six cases show dominance by the horizontal wind, the others by the vertical wind. In order to test the theory in arbitrary directions in this (z, t) space, and in order to get more complete information about the underlying physical scale, we develop and apply a new Anisotropic Scaling Analysis Technique (ASAT) which is based on a nonlinear space-time coordinate transformation. This transforms the original differential scaling into standard self-similar scaling; there remains only a 'trivial' anisotropy. This method is used in real space on 2-D structure functions. It is applied to both the new (z, t) data as well as the (x, z) data discussed in part II. Using ASAT, we verify the theory to within about 10% over more than three orders of magnitude of space-time scales in arbitrary directions in (x, z) and (z, t) spaces. By considering the high-(and low-) order structure functions, we verify the theory for both weak and strong structures; as predicted, their average anisotropies are apparently the same.Putting together the results for (x, z) and (z, t), and assuming that there is no overall stratification in the horizontal (x, y) plane, we find that the overall (x, y, z, t) space is found to have an effective 'elliptical dimension' characterizing the overall space-time stratification equal to D eff,st = 3.21 ± 0.05.

show abstract

Section: Introductionmentioning

confidence: 99%

Scaling turbulent atmospheric stratification. III: Space–time stratification of passive scalars from lidar data

Radkevich¹,

Lovejoy²,

Strawbridge³

et al. 2008

Quart J Royal Meteoro Soc

View full text Add to dashboard Cite

show abstract

“…Hay and Pasquil (1959) suggest TL = STE where 1.1 < 6 < 8.5. Experiments by Snyder and Lumley (1971), and by Schlien and Corrsin (1974) determined 6 to be 3.0 and 1.9 in grid turbulence, while Deardorff and Peskin (1970) found 6 = 4.2 in numerical simulations.…”

Section: Diffusivity Ratio Modelingmentioning

confidence: 97%

Particle Mixing and Diffusion in the Turbulent Wake of a Single Cylinder

Helgesen

Matteson

1994

Aerosol Science and Technology

View full text Add to dashboard Cite

Particle mixing and turbulent diffusion from a dilute monodisperse aerosol stream into the turbulent wake of a single cylinder was studied over a velocity range of 6.1, 12.2, and 18.3 m/sec. Dioctyl phthalate droplets with diameters of 4, 8, and 15 p m were used resulting in effective Stokes numbers ranging from 0.18 to 5.11. Particle velocity and concentration data in the aerosol stream around the cylinder was taken with a laser doppler anemometer. The velocity and concentration data wcrc analyzed empirically, examining diffusivities via the particles' rms velocity, and also using a model from a similarity solution to the equation of motion, assuming a constant diffusivity in the wake.The experimental data showed good agreement between the models and the air and particle momentum data. The concentration data contained more scatter, but was consistent with the air and particle momentum data. The air momentum Peclet numbers agreed with literature values for cylinder wakes. Diffusivity ratios,and e m / € , , were found to be functions of the Stokes number, being less than one for low Stokes numbers, greater than one for Stk > 0.33. Particle momentum diffusivity, E,,, was lower than particle concentration diffusivity, e p , for Stk > 1.0. The diffusivity ratio, E,/E,,, was found to be well described by a function including the particle Stokes number and the Strouhal number of the cylinder.

show abstract

“…Some computed data are given in Figure 10.10 that show how the mean square dispersion increases with time for a series of turbulence intensities. Schlien and Corrsin (1974) reported experimental measurements using thermal markers produced with electrically heated platinum wires in grid-generated turbulence. He also noted that some of L. F. Richardson's (1921) time exposure photographs of paraffin vapor plumes revealed a "necking-down" that Taylor attributed to a negative tail in the correlation.…”

Section: The Lagrangian View Of Turbulent Transportmentioning

confidence: 99%

Heat and Mass Transfer in Turbulence

Glasgow

2010

Transport Phenomena

View full text Add to dashboard Cite

A measurement of Lagrangian velocity autocorrelation in approximately isotropic turbulence

Cited by 69 publications

References 17 publications

Scaling turbulent atmospheric stratification. III: Space–time stratification of passive scalars from lidar data

Scaling turbulent atmospheric stratification. III: Space–time stratification of passive scalars from lidar data

Particle Mixing and Diffusion in the Turbulent Wake of a Single Cylinder

Heat and Mass Transfer in Turbulence

Contact Info

Product

Resources

About