An inviscid model of vortex shedding from a circular cylinder in steady and oscillatory far flows.

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    Abstract

    A potential flow model for various flows around a circular cylinder has been developed. The model uses the discrete vortex approximation for free shear layers. The motion of the shear layers is computed from the velocities of the discrete vortices. Separation positions can be either fixed or defined by the initial movement of nascent vortices. The Kutta condition is satisfied and the circulation of a nascent vortex is given magnitude of 1/2USUPsSUB2DELTAt where USUPs is the vortex velocity and DELTAt is the time interval between the introduction of vortices. In steady flow, with fixed separation positions on the cylinder, the mean drag coefficient and Strouhal number are in good agreement with experiments at supercritical Reynolds numbers, although the r.m.s. lift coefficient is overestimated. In an oscillatory far flow, separation is fixed on the line through the cylinder centre normal to the far flow direction. For Keulegan-Carpenter numbers greater than about 15 many of the observed flow features are reproduced; the forces found are in resonable agreement with experiments at very high Reynolds number, although the r.m.s. lift coefficients are overestimated for the higher Keulegan-Carpenter numbers investigated. (A)
    Original languageEnglish
    Pages (from-to)865-880
    Number of pages15
    JournalINST. CIV. ENG. PROC. PART 2
    Volume63
    Publication statusPublished - 1977

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