Temperature and velocity dependence of superfluid turbulence

Ladner, D. R.; Tough, J. T.

doi:10.1103/physrevb.20.2690

Cited by 39 publications

(26 citation statements)

References 19 publications

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“…Griffiths [20] showed an increase of v sc up to 1.9 K, whereas Jones described a dependence on the superfluid density, thus decreasing as the temperature approaches T λ [21]. [17] is also reported. Note that the cross section of sample 3 is unknown, therefore we have used the one obtained with the above reported Landau's analysis.…”

Section: Critical Heat Flux Identifying the End Of The Landau Regime mentioning

confidence: 99%

“…As observed in the previous sub-section, at 2.0 K the transition between laminar and turbulent regime is not always as sharp as for lower bath temperatures [16], thus making difficult to estimate Q c1 . FIGURE 6 also reports Q c1 values predicted by Ladner and Tough [17] in the case of our geometries. They are in rather good agreement with those of sample 2 until the peak at 1.9 K, despite the geometrical and fitting parameters present in [16] that are not known in our case.…”

Section: Critical Heat Flux Identifying the End Of The Landau Regime mentioning

confidence: 99%

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Steady-State heat transfer through micro-channels in pressurized He II

Granieri¹,

Baudouy²,

Four³

et al. 2012

AIP Conference Proceedings

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The operation of the Large Hadron Collider superconducting magnets for current and high luminosity future applications relies on the cooling provided by helium-permeable cable insulations. These insulations take advantage of a He II micro-channels network constituting an extremely efficient path for heat extraction. In order to provide a fundamental understanding of the underlying thermal mechanisms, an experimental setup was built to investigate heat transport through single He II channels typical of the superconducting cable insulation network, where deviation from the macro-scale theory can appear. Micro-fabrication techniques were exploited to etch the channels down to a depth of ~ 16 μm. The heat transport properties were measured in static pressurized He II and analyzed in terms of the laminar and turbulent He II laws, as well as in terms of the critical heat flux between the two regions.

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Section: Critical Heat Flux Identifying the End Of The Landau Regime mentioning

confidence: 99%

Section: Critical Heat Flux Identifying the End Of The Landau Regime mentioning

confidence: 99%

Steady-State heat transfer through micro-channels in pressurized He II

Granieri¹,

Baudouy²,

Four³

et al. 2012

AIP Conference Proceedings

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“…Inspiring in the so-called phonon hydrodynamics in the rarefied regime, one admits a heat flux slip flow along the walls, instead of the non slip condition. For this reason we choose (17) q w = −C ∂q(y, z) ∂z z=b where C is a non-negative parameter, which in kinetic theory of rarefied gases ma be identified as C = 2 − f f [4,6]. More arguments on the interesting subject of no-slip condition can be find in Ref.…”

Section: Equation and Heat Profilementioning

confidence: 99%

“…It must be said that, furthermore, the transition between the laminar and the turbulent regime is very complicated, so that between (1) and (3) there is a considerable range of intermediate states not yet completely described. The rectangular tube was not fully studied in this situation apart from the paper by Ladner and Tough [17]. 3.…”

Section: Introductionmentioning

confidence: 99%

“…2. Turbulent regime: For sufficiently high values of the heat flux, quantized vortices appear and contribute to the thermal resistance [13][14][15][16][17], because of the frictional force between the normal component and the quantized vortices. Thus, the heat transport properties becomes strongly nonlinear, very different from those of the laminar regime.…”

Section: Introductionmentioning

confidence: 99%

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Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes

Sciacca

Galantucci

2016

Communications in Applied and Industrial Mathematics

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The suppression of superfluid turbulence in helium II

1992

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Recent experiments have yielded the interesting result that superfluid turbulence is suppressed at the entrance of a flow channelThis effect cannot be explained by a direct application of the vortex tangle theory alone. We analyse a simple extension of this theory which shows how the vortex line density is naturally attenuated over an accommodation length ~ at the channel entrance in good agreement with experiment. The accommodation length provides a new connection between a wide variety of superlquid turbulence properties, some oJ which have been experimentally less accessible.The thermal resistance of superfluid 4He in small channels is dominated by the dissipation associated with a dense tangle of quantized vortex lines generally called superfluid turbulence. Homogeneous superfiuid turbulence, where the density of vortex lines is uniform in the channel, is well-described in the theoretical model of Schwarz ~ and many properties of the turbulence computed from this model are in good agreement with experiments. It was therefore rather surprising when the results of a recent simple experiment 2 showed substantial and systematic discrepancies from the theory.One of the least complex experimental configurations for the study of superfluid turbulence is thermal counterflow in a uniform channel of rectangular cross section. Under the usual assumptions, 3 measurements of the temperature difference AT across the channel as a function of the heat current Q can be used to deduce the vortex line density L as a function of the relative velocity V between the superfluid and normal fluid components. 423 0022-2291/92/03004)423506.50/'0

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Temperature and velocity dependence of superfluid turbulence

Cited by 39 publications

References 19 publications

Steady-State heat transfer through micro-channels in pressurized He II

Steady-State heat transfer through micro-channels in pressurized He II

Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes

The suppression of superfluid turbulence in helium II

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