Vortex line representation for flows of ideal and viscous fluids

E. A. Kuznetsov

    Результат исследований: Вклад в журналСтатьярецензирование

    13 Цитирования (Scopus)

    Аннотация

    The Euler hydrodynamics describing the vortex flows of ideal fluids is shown to coincide with the equations of motion obtained for a charged compressible fluid moving under the effect of a self-consistent electromagnetic field. For the Euler equations, the passage to the Lagrange description in the new hydrodynamics is equivalent to a combined Lagrange-Euler description, i.e., to the vortex line representation [5]. Owing to the compressibility of the new hydrodynamics, the collapse of a vortex flow of an ideal fluid can be interpreted as a result of the breaking of vortex lines. The Navier-Stokes equation formulated in terms of the vortex line representation proves to be reduced to a diffusion-type equation for the Cauchy invariant with the diffusion tensor determined by the metric of this representation.

    Язык оригиналаАнглийский
    Страницы (с-по)346-350
    Число страниц5
    ЖурналJETP Letters
    Том76
    Номер выпуска6
    DOI
    СостояниеОпубликовано - 25 сент. 2002

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