The relation of turbulent diffusivities to Lagrangian velocity statistics for the simplest shear flow

1974 ◽  
Vol 79 (12) ◽  
pp. 1768-1771 ◽  
Author(s):  
James J. Riley ◽  
S. Corrsin
2004 ◽  
Vol 11 (1) ◽  
pp. 35-46 ◽  
Author(s):  
M. Toner ◽  
A. C. Poje

Abstract. The spatial dependence of Lagrangian displacement and velocity statistics is studied in the context of a data assimilating numerical model of the Gulf Mexico. In the active eddy region of the Western Gulf, a combination of Eulerian and Lagrangian measures are used to locate strongly hyperbolic regions of the flow. The statistics of the velocity field sampled by sets of drifters launched specifically in these hyperbolic regions are compared to those produced by randomly chosen launch sites. The results show that particle trajectories initialized in hyperbolic regions preferentially sample a broader range of Eulerian velocities than do members of ensembles of randomly launched drifters. The velocity density functions produced by the directed launches compare well with Eulerian velocity pdfs. Implications for the development of launch strategies to improve Eulerian velocity field reconstruction from drifter data are discussed.


2003 ◽  
Vol 91 (21) ◽  
Author(s):  
L. Chevillard ◽  
S. G. Roux ◽  
E. Levêque ◽  
N. Mordant ◽  
J.-F. Pinton ◽  
...  

2016 ◽  
Vol 794 ◽  
pp. 655-675 ◽  
Author(s):  
O. Liot ◽  
F. Seychelles ◽  
F. Zonta ◽  
S. Chibbaro ◽  
T. Coudarchet ◽  
...  

We report joint Lagrangian velocity and temperature measurements in turbulent thermal convection. Measurements are performed using an improved version (extended autonomy) of the neutrally buoyant instrumented particle (Shewet al.,Rev. Sci. Instrum., vol. 78, 2007, 065105) that was used by Gasteuilet al.(Phys. Rev. Lett., vol. 99, 2007, 234302) to performed experiments in a parallelepipedic Rayleigh–Bénard cell. The temperature signal is obtained from a radiofrequency transmitter. Simultaneously, we determine a particle’s position and velocity with one camera, which grants access to the Lagrangian heat flux. Due to the extended autonomy of the present particle, we obtain well-converged temperature and velocity statistics, as well as pseudo-Eulerian maps of velocity and heat flux. Present experimental results have also been compared with the results obtained by a corresponding campaign of direct numerical simulations and Lagrangian tracking of massless tracers. The comparison between experimental and numerical results shows the accuracy and reliability of our experimental measurements and points also out the finite-size effects of the particle. Finally, the analysis of Lagrangian velocity and temperature frequency spectra is shown and discussed. In particular, we observe that temperature spectra exhibit an anomalous$f^{-2.5}$frequency scaling, likely representing the ubiquitous passive and active scalar behaviour of temperature.


2012 ◽  
Vol 85 (1) ◽  
Author(s):  
Luiza Angheluta ◽  
Patricio Jeraldo ◽  
Nigel Goldenfeld

2012 ◽  
Vol 24 (2) ◽  
pp. 287-291 ◽  
Author(s):  
Jian-ping Luo ◽  
Xiang Qiu ◽  
Dong-mei Li ◽  
Yu-lu Liu

2006 ◽  
Vol 96 (2) ◽  
Author(s):  
Haitao Xu ◽  
Mickaël Bourgoin ◽  
Nicholas T. Ouellette ◽  
Eberhard Bodenschatz

2006 ◽  
Vol 76 (2) ◽  
pp. 163-175 ◽  
Author(s):  
R. J. E. Walpot ◽  
J. G. M. Kuerten ◽  
C. W. M. van der Geld

1974 ◽  
Vol 62 (2) ◽  
pp. 255-271 ◽  
Author(s):  
D. J. Shlien ◽  
S. Corrsin

By measuring the heat dispersion behind a heated wire stretched across a wind tunnel (Taylor 1921, 1935), the Lagrangian velocity autocorrelation was determined in an approximately isotropic, grid-generated turbulent flow. The techniques were similar to previous ones, but the scatter is less. Assuming self-preservation of the Lagrangian velocity statistics in a form consistent with recent measurements of decay in this flow (Comte-Bellot & Corrsin 1966, 1971), a stationary and an approximately self-preserving form for the dispersion were derived and approximately verified over the range of the experiment.Possibly the most important aspect of this experiment is that data were available in the same flow on the simplest Eulerian velocity autocorrelation in time, the correlation at a fixed spatial point translating with the mean flow (Comte-Bellot & Corrsin 1971). Thus, the Lagrangian velocity autocorrelation coefficient function calculated from the dispersion data could be compared with this corresponding Eulerian function. It was found that the Lagrangian Taylor micro-scale is very much larger than the analogous Eulerian microscale (76 ms compared with 6.2ms), contrary to an estimate of Corrsin (1963). The Lagrangian integral time scale is roughly equal to the Eulerian one, being larger by about 25 %.


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