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Vortex filament model has become a standard and powerful tool to visualize the motion of quantized vortices in helium superfluids. In this article, we present an overview of the method and highlight its impact in aiding our understanding of…

Other Condensed Matter · Physics 2014-04-29 Risto Hänninen , Andrew W. Baggaley

Using the vortex filament model and the Gross Pitaevskii nonlinear Schroedinger equation, we show that bundles of quantised vortex lines in helium II are structurally robust and can reconnect with each other maintaining their identity. We…

Statistical Mechanics · Physics 2009-11-13 Sultan Z. Alamri , Anthony J. Youd , Carlo F. Barenghi

The paper is studying the dynamics of twisted vortex bundles, which were detected in experimental investigations of superfluid turbulence in superfluid 3He-B. The analysis shows that a linear torsion oscillation of a vortex bundle is a…

Other Condensed Matter · Physics 2015-05-28 E. B. Sonin

Two vortex rings can form a localized configuration whereby they continually pass through one another in an alternating fashion. This phenomenon is called leapfrogging. Using parameters suitable for superfluid helium-4, we describe a…

Fluid Dynamics · Physics 2016-12-14 N. Hietala , R. Hänninen , H. Salman , C. F. Barenghi

Filamentary regions of high vorticity irregularly form and disappear in the turbulent flows of classical fluids. We report an experimental comparative study of these so-called " coherent structures " in a classical versus quantum fluid,…

Other Condensed Matter · Physics 2017-06-28 E Rusaouen , B Rousset , P. -E Roche

A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid $3$-dimensional fluid. Helmholtz (1858) observed that a pair of similar thin, coaxial…

Analysis of PDEs · Mathematics 2023-11-14 Juan Davila , Manuel del Pino , Monica Musso , Juncheng Wei

In the comment I develop a critical analysis of the use of the HVBK method for the study of three-dimensional turbulent flows of superfluids. The conception of the vortex bundles forming the structure of quantum turbulence is controversial…

Other Condensed Matter · Physics 2019-08-09 Sergey K. Nemirovskii

Vortex filaments are highly rotating localized structures of fluids that admits several types of excitation. Here, we study them by using numerical simulations of the three-dimensional incompressible Navier-Stokes equations. We first…

Fluid Dynamics · Physics 2026-02-27 Elio Sterkers , Giorgio Krstulovic

We numerically model experiments in which large-scale vortex rings - bundles of quantized vortex loops - are created in superfluid helium by a piston-cylinder arrangement. We show that the presence of a normal fluid vortex ring together…

Fluid Dynamics · Physics 2015-06-23 Daniel H. Wacks , Andrew W. Baggaley , Carlo F. Barenghi

Experiments in the early 1980s have shown that a compact bundle of quantum vortex rings in superfluid helium remains coherent and travels a significant distance compared to its size. This is surprising because a single vortex ring, under…

Fluid Dynamics · Physics 2023-03-08 Luca Galantucci , Giorgio Krstulovic , Carlo F. Barenghi

We study the statistical properties of coherent, small-scales, filamentary-like structures in Turbulence. In order to follow in time such complex spatial structures, we integrate Lagrangian and Eulerian measurements by seeding the flow with…

Fluid Dynamics · Physics 2009-08-04 Luca Biferale , Andrea Scagliarini , Federico Toschi

Vortex rings self-propelling in superfluid 4He are shown to be driven unstable by a toroidal normal fluid flow. This instability has qualitative similarities with the Donnelly-Glaberson instability of Kelvin waves on a vortex filament…

Other Condensed Matter · Physics 2020-04-22 Bhimsen K. Shivamoggi

We observe the transient formation of a ringed pattern state during spin-up of an evaporating fluid on a time scale of order a few Ekman spin-up times. The ringed state is probed using infrared thermometry and particle image velocimetry and…

Fluid Dynamics · Physics 2015-05-18 Jin-Qiang Zhong , M. D. Patterson , J. S. Wettlaufer

When vortex rings collide head-on at high enough Reynolds numbers, they ultimately annihilate through a violent interaction which breaks down their cores into a turbulent cloud. We experimentally show that this very strong interaction,…

Several progresses have been done very recently on models for the dynamics of one or more vortex filaments in three-dimensional fluids. In this article we survey the recent and previous results in this topic. We also present some new…

Analysis of PDEs · Mathematics 2012-02-14 Valeria Banica , Evelyne Miot

We report recent results from a high resolution numerical study of fluid particles transported by a fully developed turbulent flow. Single particle trajectories were followed for a time range spanning more than three decades, from less than…

Chaotic Dynamics · Physics 2015-06-26 F. Toschi , L. Biferale , G. Boffetta , A. Celani , B. J. Devenish , A. Lanotte

In an inviscid and incompressible fluid in dimension 3, we prove the existence of several helical filaments, or vortex helices, collapsing into each others.

Analysis of PDEs · Mathematics 2023-04-28 Ignacio Guerra , Monica Musso

Vortex flow remains laminar up to large Reynolds numbers (Re~1000) in a cylinder filled with 3He-B. This is inferred from NMR measurements and numerical vortex filament calculations where we study the spin up and spin down responses of the…

Other Condensed Matter · Physics 2011-02-23 V. B. Eltsov , R. de Graaf , P. J. Heikkinen , J. J. Hosio , R. Hanninen , M. Krusius , V. S. L'vov

The dynamics of vortex rings in fluids have long captivated researchers due to the intriguing complexity of their behavior, despite the apparent simplicity of their structure. In optics, photonic toroidal vortices constitute a novel class…

The dynamics of a circular thin vortex ring and a sphere moving along the symmetry axis of the ring in an inviscid incompressible fluid is studied on the basis of Euler's equations of motion. The equations of motion for position and radius…

Fluid Dynamics · Physics 2017-04-26 B. U. Felderhof
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