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  • American Institute of Physics (AIP)  (2)
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  • 1
    Digitale Medien
    Digitale Medien
    The stability of a slightly eccentric straight vortex filament in a circular tube (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 2865-2867 
    Details
    ISSN: 1089-7666
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: The three-dimensional long-wave linear stability of a straight vortex, that runs down a circular tube, parallel with its axis but slightly displaced from it, is analyzed. The vortex flow is modeled by an infinite concentrated, potential vortex filament. The filament is immersed in an axial uniform flow, and autorotates around the tube axis due to its small eccentricity. The tube walls are modeled by a surface distribution of potential sources. Results show that the vortex develops a dynamic instability in a narrow range of wave numbers as a direct result of its small eccentricity. The vortex also tends to diverge statically at certain wave numbers, only when it is in a "subcritical'' state. Finally, it is shown that a time-dependent streamwise variation of the tube radius can be used as a controller to actively control the dynamic stability of an eccentric vortex in a tube.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.868110
    Standort Signatur Erwartet Verfügbarkeit
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    Artikel (Nationallizenzen)
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  • 2
    Digitale Medien
    Digitale Medien
    Propagation of small-amplitude displacement waves on a vortex in the center of a circular tube (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 578-587 
    Details
    ISSN: 1089-7666
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: The propagation of three-dimensional small-amplitude long waves on a vortex filament running down the center of a circular tube is investigated analytically. The vortex flow is idealized by an infinite concentrated potential vortex filament immersed in an axial uniform flow that is displaced from the axis of the tube by a small three-dimensional perturbation. The rigid walls of the tube are represented by a potential surface source distribution that also has the nature of a small perturbation. A linearization of the flow-field equations, with respect to the basic state of a straight filament along the tube axis, results in an eigenvalue problem. The analytical solution shows that the vortex in the center of the tube is stable and the disturbances propagate as constant amplitude displacement waves along the vortex line and as source-intensity fluctuations along the inner surface of the tube wall. Two different basic modes of either a helical or rotating sinusoidal wave can propagate along the vortex filament. A "supercritical'' state is defined by the characteristics of the flow in which waves can propagate only downstream. It is shown from available experimental data that vortex flows in tubes that experienced vortex breakdown farther downstream, were "supercritical'' at the tube inlet.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.858884
    Standort Signatur Erwartet Verfügbarkeit
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    Artikel (Nationallizenzen)
    Volltext
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