2013
DOI: 10.1007/s00033-013-0372-7
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Longitudinal counterflow in turbulent liquid helium: velocity profile of the normal component

Abstract: In this paper, the velocity profile of the normal component in the stationary flow of turbulent superfluid helium inside a cylindrical channel is determined, making use of a one-fluid model with internal variables \ud derived from Extended Thermodynamics. In the hypothesis of null barycentric velocity of the fluid (the so-called counterflow situation) it is seen that, in the presence of a sufficiently high vortex length density, the velocity profile of the normal component becomes very flat in the central re… Show more

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Cited by 18 publications
(6 citation statements)
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“…Note that a more general equation analogous to Eq. (23), but with different interpretation of the several coefficients, may be found in turbulent superfluid helium [160][161][162][163]. We will not enter into this specialized topic, but anyway it is interesting to know about the possibility that the 30 range of an equation of the form as Eq.…”
Section: Eigen-value Analysis Methodsmentioning
confidence: 99%
“…Note that a more general equation analogous to Eq. (23), but with different interpretation of the several coefficients, may be found in turbulent superfluid helium [160][161][162][163]. We will not enter into this specialized topic, but anyway it is interesting to know about the possibility that the 30 range of an equation of the form as Eq.…”
Section: Eigen-value Analysis Methodsmentioning
confidence: 99%
“…[26] and [24] we have evaluated how much the presence of quantized vortices reduces the efficiency of the refrigeration by means of superfluid helium and in Refs. [27,28] how the profile of the heat flux (and the normal component) is modificed by their contribution. The continuity equation (2.1) has been written in terms of the specific volume V instead of the usual density ρ for future purposes.…”
Section: The Mathematical Modelmentioning
confidence: 99%
“…Heat transport in superfluid He II is not described by Fourier's law but it requires a much more general law, considering the long relaxation time τ 1 of the heat flux q (first term of Equation (2)), nonlocal effects (fourth term of Equation (2)) related to the long coherent length of the superfluid (a macroscopic quantum coherence), and nonlinear effects (third term and last term of Equation (2)) related to quantized vortices forming a turbulent tangle of lines described by the vortex length per unit volume L [22][23][24]. Such generalized equation takes the form [24,25]:…”
Section: Heat Transport In Laminar and Turbulent He IImentioning
confidence: 99%