Correlation functions of temperature and velocity fluctuations in a turbulent atmosphere

2006 ◽  
Vol 119 (5) ◽  
pp. 3264-3264
Author(s):  
Vladimir E. Ostashev ◽  
Sergey N. Vecherin ◽  
D. Keith Wilson ◽  
Sandra L. Collier
2016 ◽  
Vol 809 ◽  
Author(s):  
I. V. Kolokolov ◽  
V. V. Lebedev

We analyse velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional (2-D) turbulence in a finite box. As we demonstrated in Kolokolov & Lebedev (Phys. Rev. E, vol. 93, 2016, 033104), the universal velocity profile, established in Laurie et al. (Phys. Rev. Lett., vol. 113, 2014, 254503), corresponds to the passive regime of the flow fluctuations. This property enables one to calculate correlation functions of the velocity fluctuations in the universal region. We present the results of the calculations that demonstrate a non-trivial scaling of the structure function. In addition the calculations reveal strong anisotropy of the structure function.


Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 63
Author(s):  
Paweł Sznajder ◽  
Bogdan Cichocki ◽  
Maria Ekiel-Jeżewska

We investigate qualitatively a uniform non-Brownian sedimenting suspension in a stationary state. As a base of our analysis we take the BBGKY hierarchy derived from the Liouville equation. We then show that assumption of the plasma-like screening relations can cancel some long-range terms in the hierarchy but it does not provide integrable solutions for correlation functions. This suggests breaking the translational symmetry of the system. Therefore a non-uniform structure can develop to suppress velocity fluctuations and make the range of correlations finite.


2017 ◽  
Vol 821 ◽  
pp. 343-357 ◽  
Author(s):  
Hideaki Mouri

For the constant-stress layer of wall turbulence, two-point correlations of velocity fluctuations are studied theoretically by using the attached-eddy hypothesis, i.e. a phenomenological model of a random superposition of energy-containing eddies that are attached to the wall. While previous studies had invoked additional assumptions, we focus on the minimum assumptions of the hypothesis to derive the most general forms of the correlation functions. They would allow us to use or assess the hypothesis without any effect of those additional assumptions. We also study the energy spectra and the two-point correlations of the rate of momentum transfer and of the rate of energy dissipation.


1974 ◽  
Vol 17 (1) ◽  
pp. 120-122 ◽  
Author(s):  
M. E. Gracheva ◽  
A. S. Gurvich ◽  
A. S. Khrupin

1997 ◽  
Vol 508 (1-2) ◽  
pp. 468-482
Author(s):  
W Pei

1989 ◽  
Vol 50 (C8) ◽  
pp. C8-97-C8-102 ◽  
Author(s):  
J. BEBEN ◽  
CH. KLEINT ◽  
R. MECLEWSKI

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