This work provides an analysis of experiments in which various modes of mercury flow in a constant external magnetic field were observed; we examined the temperature oscillations in the mercury flow in a heated pipe at various Reynolds and Hartmann numbers. In some modes, the temperature oscillations have specific forms of strong aperiodic “bursts” over the weak irregular background, which are specific to the developed turbulent flow. To determine the nature of these temperature oscillations and the characteristics of the fluid flow, we examined them through the apparatus of nonlinear dynamics. The totality of all the results (autocorrelation function, correlation integral, maximum Lyapunov exponents, and Fourier transform) provide evidence of the chaotic nature of the observed flow modes despite the relative weakness of high-frequency harmonics in comparison to low-frequency ones. In the case of separate bursts of turbulence, the duration of the laminar phase τ follows the known distribution ∼τ–3/2, derived from the theory of on-off intermittency.
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August 2019
Research Article|
August 13 2019
On-off intermittency and hard turbulence in the flow of fluid in the magnetic field
I. A. Belyaev
;
I. A. Belyaev
1
Joint Institute for High Temperatures RAS
, Izhorskaya, 13-2, Moscow 125412, Russia
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D. A. Biryukov
;
D. A. Biryukov
1
Joint Institute for High Temperatures RAS
, Izhorskaya, 13-2, Moscow 125412, Russia
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D. N. Gerasimov;
D. N. Gerasimov
a)
2
National Research University “Moscow Power Engineering Institute”
, Krasnokazarmennaya, 17, Moscow 111250, Russia
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E. I. Yurin
E. I. Yurin
2
National Research University “Moscow Power Engineering Institute”
, Krasnokazarmennaya, 17, Moscow 111250, Russia
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Chaos 29, 083119 (2019)
Article history
Received:
April 03 2019
Accepted:
July 25 2019
Citation
I. A. Belyaev, D. A. Biryukov, D. N. Gerasimov, E. I. Yurin; On-off intermittency and hard turbulence in the flow of fluid in the magnetic field. Chaos 1 August 2019; 29 (8): 083119. https://doi.org/10.1063/1.5098538
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