Vortex dynamics in rotating counterflow and plane Couette and Poiseuille turbulence in superfluid helium

Jou, David; Sciacca, Michele; Mongiovı̀, Maria Stella

doi:10.1103/physrevb.78.024524

Cited by 11 publications

(4 citation statements)

References 21 publications

(58 reference statements)

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“…These results are similar with the inverse distribution of quantized vortices, which appears in the 3D simulations reviewed above. The coarse-grained polarization vector p(y) was introduced, defined by [84]…”

Section: Comparison Of γ In Vinen's Equationmentioning

confidence: 99%

Numerical Studies of Quantum Turbulence

2017

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We review numerical studies of quantum turbulence. Quantum turbulence is currently one of the most important problems in low temperature physics and is actively studied for superfluid helium and atomic Bose-Einstein condensates. A key aspect of quantum turbulence is the dynamics of condensates and quantized vortices. The dynamics of quantized vortices in superfluid helium are described by the vortex filament model, while the dynamics of condensates are described by the Gross-Pitaevskii model. Both of these models are nonlinear, and the quantum turbulent states of interest are far from equilibrium. Hence, numerical studies have been indispensable for studying quantum turbulence. In fact, numerical studies have contributed in revealing the various problems of quantum turbulence. This article reviews the recent developments in numerical studies of quantum turbulence. We start with the motivation and the basics of quantum turbulence and invite readers to the frontier of this research. Though there are many important topics in the quantum turbulence of superfluid helium, this article focuses on inhomogeneous quantum turbulence in a channel, which has been motivated by recent visualization experiments. Atomic Bose-Einstein condensates are a modern issue in quantum turbulence, and this article reviews a variety of topics in the quantum turbulence of condensates e.g. two-dimensional quantum turbulence, weak wave turbulence, turbulence in a spinor condensate, etc., some of which has not been addressed in superfluid helium and paves the novel way for quantum turbulence researches. Finally we discuss open problems.

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Section: Comparison Of γ In Vinen's Equationmentioning

confidence: 99%

Numerical Studies of Quantum Turbulence

2017

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“…[23] the anisotropy of the vortex tangle was studied, restricting the study to homogeneous situations, and neglecting the influence of the vortex tension. In another paper [27] we have considered a more general situation, taking into account of inhomogeneities, anisotropy and polarization of the vortex tangle, studying the plane Couette and Poiseuille flow. For the sake of simplicity, in that work, we have neglected the vortex tension T.…”

Section: Generalization Of Hvbk Equationsmentioning

confidence: 99%

“…In Refs. [27], [31]- [33], [35]- [37] Vinen's equation was modified to describe more complex situations, as for instance the coupled situation of counterflow and rotation and in Couette and Poiseuille flows. Taking in mind the equation (4.16) and the proposed equation of Ref.…”

Section: Generalized Vinen Equation Including Polarization Anisotropy...mentioning

confidence: 99%

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Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles

Jou

Mongiovı̀

Sciacca

2011

Physica D: Nonlinear Phenomena

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We include the effects of anisotropy and polarization in the hydrodynamics of inhomogeneous vortex tangles, thus generalizing the well known Hall-Vinen-Bekarevich-Khalatnikov equations, which do not take them in consideration. These effects contribute to the mutual friction force F ns between normal and superfluid components and to the vortex tension force ρ s T. These equations are complemented by an evolution equation for the vortex line density L, which takes into account these contributions. These equations are expected to be more suitable than the usual ones for rotating counterflows, or turbulence behind a cylinder, or turbulence produced by a grid of parallel thin cylinders towed across a superfluid, because in these situations polarization is expected to play a relevant role.

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Contribution of the normal component to the thermal resistance of turbulent liquid helium

Saluto

Jou

Mongiovı̀

2015

Z. Angew. Math. Phys.

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Previous results for the velocity profile of the normal component of helium II in counterflow are used to evaluate the viscous contribution to the effective thermal resistance.\ud It turns out that such a contribution becomes considerably higher than the usual Landau estimate, because in the presence of vortices the velocity profile is appreciably different\ud from the Poiseuille parabolic profile. Thus, a marked increase of the contribution of the normal component to the thermal resistance with respect to the viscous Landau estimate\ud does not necessarily imply that the normal component is turbulent. Furthermore, we examine the influence of a possible slip flow along the walls when the radius of the tube becomes comparable to the phonon mean-free path; this implies a reduction of the thermal resistance with respect to that obtained for non-slip boundary conditions

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Vortex dynamics in rotating counterflow and plane Couette and Poiseuille turbulence in superfluid helium

Cited by 11 publications

References 21 publications

Numerical Studies of Quantum Turbulence

Numerical Studies of Quantum Turbulence

Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles

Contribution of the normal component to the thermal resistance of turbulent liquid helium

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