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Comment on “General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation” [Phys. Fluids26, 065105 (2014)]
1. R. A. Van Gorder, “General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation,” Phys. Fluids 26, 065105 (2014).
2.LIA is an approximation of Biot–Savart law (Eq. (2) in Ref. 1, although the denominator should be cubed). According to Van Gorder, LIA can be obtained from Biot–Savart by introducing a cutoff. However, to be more precise, LIA is actually a leading term of an expansion around r plus the cutoff.
4. N. Hietala and R. Hänninen, “Comment on ‘Motion of a helical vortex filament in superfluid 4He under the extrinsic form of the local induction approximation,’ [Phys. Fluids 25, 085101 (2013)],” Phys. Fluids 26, 019101 (2014).
5. A. P. Finne, V. B. Eltsov, G. Eska, R. Hänninen, J. Kopu, M. Krusius, E. V. Thuneberg, and M. Tsubota, “Vortex multiplication in Applied flow: A precursor to superfluid turbulence,” Phys. Rev. Lett. 96, 085301 (2006);
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Van Gorder considers a formulation of the local induction approximation, which allows the vortex to move in the direction of the reference axis [“General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation,” Phys. Fluids26, 065105 (2014)]. However, in his analytical and numerical study he does not use it. A mistake in the torsion of a helical vortex is also corrected.
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