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CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW

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V. V. Lebedev 1, 2
V. V. Lebedev
10.31857/S00444510240112e6
Published 2023-09-19
Article , RCR5112, Volume 165, Issue 1, 121-132
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Kolokolov I. V., Lebedev V. V. CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW // Journal of Experimental and Theoretical Physics. 2023. Vol. 165. No. 1. pp. 121-132.
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Kolokolov I. V., Lebedev V. V. CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW // Journal of Experimental and Theoretical Physics. 2023. Vol. 165. No. 1. pp. 121-132.
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TY - JOUR
DO - 10.31857/S00444510240112e6
UR - https://jetp.colab.ws/publications/10.31857/S00444510240112e6
TI - CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW
T2 - Journal of Experimental and Theoretical Physics
AU - Kolokolov, I. V.
AU - Lebedev, V. V.
PY - 2023
DA - 2023/09/19
PB - Nauka Publishers
SP - 121-132
IS - 1
VL - 165
ER -
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@article{2023_Kolokolov,
author = {I. V. Kolokolov and V. V. Lebedev},
title = {CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW},
journal = {Journal of Experimental and Theoretical Physics},
year = {2023},
volume = {165},
publisher = {Nauka Publishers},
month = {Sep},
url = {https://jetp.colab.ws/publications/10.31857/S00444510240112e6},
number = {1},
pages = {121--132},
doi = {10.31857/S00444510240112e6}
}
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Kolokolov, I. V., and V. V. Lebedev. “CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW.” Journal of Experimental and Theoretical Physics, vol. 165, no. 1, Sep. 2023, pp. 121-132. https://jetp.colab.ws/publications/10.31857/S00444510240112e6.
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Keywords

fluctuations
shear flow
turbulence

Abstract

We examine fluctuations of vorticity excited by an external random force in two-dimensional fluid in the presence of a strong external shear flow. The problem is motivated by the analysis of big coherent vortices appearing as a consequence of the inverse energy cascade in a finite box at large Reynolds numbers. We develop the perturbation theory for calculating nonlinear corrections to correlation functions of the flow fluctuations assuming that the external force is short correlated in time. We analyze corrections to the pair correlation function of vorticity and some moments. The analysis enables one to establish validity of the perturbation theory for laboratory experiments and numerical simulations.

The bibliography includes 30 references.

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