Comment on “Motion of a helical vortex filament in superfluid {sup 4}He under the extrinsic form of the local induction approximation” [Phys. Fluids 25, 085101 (2013)]

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Physics of Fluids (1994)

DOI:https://doi.org/10.1063/1.4855296· OSTI ID:22257158

Hietala, Niklas; Hänninen, Risto ^[1]

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1. O.V. Lounasmaa Laboratory, School of Science, Aalto University, P.O. Box 15100, 00076 Aalto (Finland)

We comment on the paper by Van Gorder [“Motion of a helical vortex filament in superfluid {sup 4}He under the extrinsic form of the local induction approximation,” Phys. Fluids 25, 085101 (2013)]. We point out that the flow of the normal fluid component parallel to the vortex will often lead into the Donnelly–Glaberson instability, which will cause the amplification of the Kelvin wave. We explain why the comparison to local nonlinear equation is unreasonable, and remark that neglecting the motion in the x-direction is not reasonable for a Kelvin wave with an arbitrary wavelength and amplitude. The correct equations in the general case are also derived.

• OSTI ID: 22257158
• Journal Information: Physics of Fluids (1994), Vol. 26, Issue 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-6631
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLIFICATION
AMPLITUDES
EQUATIONS
FILAMENTS
FLUIDS
HELIUM 4
INDUCTION
INSTABILITY
SUPERFLUIDITY
VORTICES
WAVELENGTHS