Self-similar vortex filament motion under the non-local Biot–Savart model
نویسندگان
چکیده
منابع مشابه
Non-local dynamics governing the self-induced motion of a planar vortex filament
While the Hasimoto planar vortex filament is one of few exact solutions to the local induction approximation (LIA) approximating the self-induced motion of a vortex filament, it is natural to wonder whether such a vortex filament solution would exist for the non-local Biot-Savart dynamics exactly governing the filament motion, and if so, whether the non-local effects would drastically modify th...
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Kinetic helicity is one of the invariants of the Euler equations that is associated with the topology of vortex lines within the fluid. In superfluids, the vorticity is concentrated along vortex filaments. In this setting, helicity would be expected to acquire its simplest form. However, the lack of a core structure for vortex filaments appears to result in a helicity that does not retain its k...
متن کاملDynamics of a planar vortex filament under the quantum local induction approximation
The Hasimoto planar vortex filament is one of the rare exact solutions to the classical local induction approximation (LIA). This solution persists in the absence of friction or other disturbances, and it maintains its form over time. As such, the dynamics of such a filament have not been extended to more complicated physical situations. We consider the planar vortex filament under the quantum ...
متن کاملDynamics of a planar vortex filament under the quantum local induction approximation.
The Hasimoto planar vortex filament is one of the rare exact solutions to the classical local induction approximation (LIA). This solution persists in the absence of friction or other disturbances, and it maintains its form over time. As such, the dynamics of such a filament have not been extended to more complicated physical situations. We consider the planar vortex filament under the quantum ...
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A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure γ. Under appropriate assumptions on γ we compute the scaling law of the structure function and get the multifractal scaling as a particular case.
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2016
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2016.502