Experimental signature of quantum turbulence in velocity spectra?

Salort, Julien; Chillà, Francesca; Rusaouen, Eleonore; Roche, Philippe-Emmanuel; Gibert, Mathieu; Moukharski, Iouri; Braslau, A.; Daviaud, François; Gallet, Basile; Saw, Ewe-Wei; Dubrulle, Bérengère; Diribarne, Pantxo; Rousset, Bernard; Bon-Mardion, Michel; Moro, Jean-Paul; Girard, Alain; Baudet, Christophe; L’vov, Victor S.; Golov, A. I.; Nazarenko, Sergey

doi:10.1088/1367-2630/abfe1f

Cited by 9 publications

(15 citation statements)

References 58 publications

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“…As shown in Ref. [5] this leads to L l ≈ 2.9 cm in co-rotation, while we find L l ≈ 3.7 cm in the counter-rotation case.…”

Section: Turbulence Propertiessupporting

confidence: 85%

“…2-(b), the turbulence intensity is found to be in the range 5-10%. This order of magnitude is confirmed by hot-wire measurements in co-rotating He I, where the inferred value is τ ≈ 5.2% [5]. Using the same technique, and the calibration from Fig.…”

Section: Turbulence Propertiessupporting

confidence: 64%

“…As shown by Salort et al [5], in He II at the same velocity, the PSD of the Pitot remains unchanged up to f ≈ 3 Hz where a departure is observed: instead of tending to a f −5/3 power law like in He I, the PSD amplitude keeps decreasing like ∼ f −1 until it reaches the tail of the probe mechanical peak, at f ≈ 200 Hz.…”

Section: Comparison With Pitot -Velocity Spectramentioning

confidence: 60%

“…In classical fluid, the Pitot tube gives access to the dynamic pressure s(t) = ρv(t) 2 /2, where ρ is the density of the liquid and v is velocity, by measuring the pressure difference between the stagnation pressure, at the nozzle facing the flow, and the static pressure at an opening perpendicular to the flow (see Ref. [5] for technical details). Below the superfluid transition, this sensing principle remains valid at flow scales resolved by the present sensor, because the superfluid and the normal fluid have a common velocity at these scales.…”

Section: The Pitot Tubementioning

confidence: 99%

“…For example, in a recent paper, Salort et al [5] have analyzed velocity spectra, obtained in the SHREK von Kármán apparatus [4], based on cantilever and "Pitot tube" signals. They reported two different kinds of behavior associated to normal and superfluid conditions, in the limit of very low velocities, where the sensors had a sufficient temporal and spacial resolution to resolve the high k end of the Kolmogorov spectrum.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of properties of superfluid He4 turbulence using a hot-wire signal

et al. 2021

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We report hot-wire measurements performed in two very different, co-and counter-rotating flows, in normal and superfluid helium at 1.6 K, 2 K, and 2.3 K. As recently reported, the power spectrum of the hot-wire signal in superfluid flows exhibits a significant bump at high frequency [Diribarne et al., Phys. Rev. B 103, 144509 (2021)]. We confirm that the bump frequency does not depend significantly on the temperature and further extend the previous analysis of the velocity dependence of the bump, over more than one decade of velocity. The main result is that the bump frequency depends on the turbulence intensity of the flow, and that using the turbulent Reynolds number rather than the velocity as a control parameter collapses results from both co-and counter-rotating flows. The vortex shedding model previously proposed, in its current form, does not account for this observation. This suggests that the physical origin of the bump is related to the small scale turbulence properties of the flow. We finally propose some qualitative physical mechanism by which the smallest structures of the flow, at intervortex distance, could affect the heat flux of the hot-wire.

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“…As shown in Ref. [5] this leads to L l ≈ 2.9 cm in co-rotation, while we find L l ≈ 3.7 cm in the counter-rotation case.…”

Section: Turbulence Propertiessupporting

confidence: 85%

Section: Turbulence Propertiessupporting

confidence: 64%

Section: Comparison With Pitot -Velocity Spectramentioning

confidence: 60%

Section: The Pitot Tubementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of properties of superfluid He4 turbulence using a hot-wire signal

et al. 2021

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A Mathematical Analysis of the Intermediate Behaviour of the Energy Cascades of Quantum Turbulence

Jou

Sciacca

2023

Acta Appl Math

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We propose a mathematical interpolation between several regimes of energy cascade in quantum turbulence in He II. On the basis of a physical interpretation of such mathematical expression we discuss in which conditions it is expected to appear an intermediate $k^{2}$ k 2 regime (equipartition regime) in the transition region between the hydrodynamic regime and the Kelvin wave regime (namely, between the $k^{-5/3}$ k − 5 / 3 and $k^{-1}$ k − 1 regions in coflow situations and between the $k^{-3}$ k − 3 and $k^{-1}$ k − 1 regions in counterflow situations). It is seen that if the energy rate transfer from the hydrodynamic region to the Kelvin wave region is sufficiently slow, such equipartition region will be present, but for higher values of such energy rate transfer it will disappear. For high rates of the energy rate transfer, the transition regime between the hydrodynamic and the Kelvin wave regimes will be monotonous, characterized by a negative exponent of $k$ k between $-5/3$ − 5 / 3 and −1 (or between −3 and −1), instead of the positive 2 exponent of the equipartition regime.

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Controlled spherical deuterium droplets as Lagrangian tracers for cryogenic turbulence experiments

Bret,

Chartier,

Diribarne

et al. 2023

Review of Scientific Instruments

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The study of the smallest scales of turbulence by (Lagrangian) particle tracking faces two major challenges: the requirement of a 2D or 3D optical imaging system with sufficiently high spatial and temporal resolution and the need for particles that behave as passive tracers when seeded into the flow. While recent advances in the past decade have led to the development of fast cameras, there is still a lack of suitable methods to seed cryogenic liquid helium flows with mono-disperse particles of sufficiently small size, of the order of a few micrometers, and a density close enough to that of helium. Taking advantage of the surface tension, we propose two different techniques to generate controlled liquid spherical droplets of deuterium over a liquid helium bath. The first technique operates in a continuous mode by fragmenting a liquid jet, thanks to the Rayleigh–Taylor instability. This results in the formation of droplets with a diameter distribution of 2 ± 0.25DN, where DN is the diameter of the jet nozzle (DN = 20 μm in the present experiment). This method offers a high production rate, greater than 30 kHz. The second technique operates in a drop-on-demand mode by detaching droplets from the nozzle using pressure pulses generated using a piezoelectric transducer. This approach yields a much narrower diameter distribution of 2.1 ± 0.05DN but at a smaller production rate, in the range 500 Hz–2 kHz. The initial trajectories and shapes of the droplets, from the moment they are released from the nozzle until they fall 3 mm below, are investigated and discussed based on back-light illumination images.

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Experimental signature of quantum turbulence in velocity spectra?

Cited by 9 publications

References 58 publications

Investigation of properties of superfluid He4 turbulence using a hot-wire signal

Investigation of properties of superfluid He4 turbulence using a hot-wire signal

A Mathematical Analysis of the Intermediate Behaviour of the Energy Cascades of Quantum Turbulence

Controlled spherical deuterium droplets as Lagrangian tracers for cryogenic turbulence experiments

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