Search results for "vortex filament"

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Nonlinear Kelvin waves on a quantized vortex line in superfluid helium

2013

In this paper we show an exact solution (Kelvin wave) of an approximated dynamical equation for a quantized vortex line in helium superfluid at finite temperature. It is shown that the applied heat flux interacts with the vortex line, and the amplitude of the Kelvin wave can grow (the so-called Donnelly instability) or decrease according with the mutual direction between heat flux and wave vector.

Kelvin waves vortex filament superfluid helium eulerian fluid.Settore MAT/07 - Fisica Matematica
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Waves on a vortex filament: exact solutions of dynamical equations

2014

In this paper we take into account the dynamical equations of a vortex filament in superfluid helium at finite temperature (1 K < T < 2.17 K) and at very low temperature, which is called Biot-Savart law. The last equation is also valid for a vortex tube in a frictionless, unbounded and incompressible fluid. Both the equations are approximated by the Local Induction Approximation (LIA) and Fukumoto's approximation. The obtained equations are then considered in the extrinsic frame of reference, where exact solutions (Kelvin waves) are shown. These waves are then compared one to each other in terms of their dispersion relations in the frictionless case. The same equations are then investigated…

PhysicsVortex tubeApplied MathematicsGeneral MathematicsGeneral Physics and Astronomysuperfluid helium.MechanicsVortexKelvin wavesymbols.namesakeClassical mechanicsDispersion relationCompressibilitysymbolsvortex filamentSeries expansionSettore MAT/07 - Fisica MatematicaKelvin waveEquations for a falling bodySuperfluid helium-4Zeitschrift für angewandte Mathematik und Physik
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