Motion of a vortex filament in the local induction approximation: Reformulation of the Da Rios-Betchov equations in the extrinsic filament coordinate space

    Authors

    B. K. Shivamoggi;G. J. F. van Heijst

    Comments

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    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    WAVES; Physics, Multidisciplinary

    Abstract

    In recognition of the highly non-trivial task of computation of the inverse Hasimoto transformation mapping the intrinsic geometric parameter space onto the extrinsic vortex filament coordinate space a reformulation of the Da Rios-Betchov equations in the latter space is given. The nonlinear localized vortex filament structure solution given by the present formulation is in detailed agreement with the Betchov-Hasimoto solution in the small-amplitude limit and is also in qualitative agreement with laboratory experiment observations of helical-twist solitary waves propagating on concentrated vortices in rotating fluids. The present formulation also provides for a discernible effect of the slipping motion of a vortex filament on the vortex evolution. (C) 2010 Elsevier B.V. All rights reserved.

    Journal Title

    Physics Letters A

    Volume

    374

    Issue/Number

    15-16

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    1742

    Last Page

    1744

    WOS Identifier

    WOS:000276659900026

    ISSN

    0375-9601

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