On the stability of vortex rings
Web20 de abr. de 2006 · Abstract. The evolution of a vortex ring in an ideal fluid under self-induction from a flat and elliptic configuration is followed numerically using the cut-off … WebAbstract. We revisit the stability of an elliptically strained vortex and a thin axisymmetric vortex ring, embedded in an inviscid incompressible fluid, to three-dimensional disturbances of infinitesimal amplitude. The results of Tsai & Widnall (1976) for an elliptically strained vortex are simplified by providing an explicit expression for the ...
On the stability of vortex rings
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WebWidnall, S. & Sullivan, J. I973 On the stability of vortex rings. Proc. R. Soc. Lond. A 332, 335. Yuen, H. C. 1974 The stability of a vortex ring with axial flow, buoyancy forces and … Web21 de nov. de 2016 · The stability of vortex rings with an azimuthal component of velocity is investigated numerically for various combinations of ring wavenumber and swirl magnitude. The vortex rings are equilibrated from an initially Gaussian distribution of azimuthal vorticity and azimuthal velocity, at a circulation-based Reynolds number of 10 …
Web10 de mar. de 2005 · The stability of vortex rings is investigated both theoretically and experimentally. The theoretical analysis considers the stability of the vortex-filament … Web29 de mar. de 2006 · Short-wave instabilities are discussed for both the vortex ring and the vortex pair. Instability for both the ring and the pair is predicted to occur whenever the …
Web11 de abr. de 2013 · We also find solutions for the problem of three vortex rings, which describe both the regular and chaotic leapfrogging motion of vortex rings. ... A Note on … WebThe solution to 0 (e 2) is presented, although the details of the stability analysis are carried through completely only for a special class of bending waves that are known to be …
Web1 de nov. de 1993 · Accurate numerical simulations of vortex rings impinging on flat boundaries revealed the same features observed in experiments. The results for the impact with a free-slip wall compared very well with previous numerical simulations that used spectral methods, and were also in qualitative agreement with experiments. The present …
WebThe structure and stability of vortex rings By T. MAXWORTHY Departments of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, … how do you write in active voiceWebThe work focuses on the problem of stability and viscous decay of single vortex rings. A tentative classification scheme is proposed for vortex rings which is based on extensive hot-wire measurements of velocity in the ring core and wake, and flow visualization, viz. laminar, wavy, turbulence-producing, and turbulent. Prediction of vortex ring type is … how do you write in arabicWebThe stability and development of vortex rings have been the subject of numerous theoretical [6,7,8,9,10,11] and experimental [12,13,14,15] ... how do you write inchesWebNew applications for optical vortex interferometers (OVIs) are under investigation. The precision of the OVI depends strongly on the accuracy of positioning of the vortex … how do you write i love youWeb19 de mar. de 2024 · Abstract—The problem of stability of steady-state thin vortex ring flow in an ideal fluid is studied in the linear approximation. The case of the isochronous vortex ring in which the liquid-particle rotation periods are identical is considered. In such a flow there are no perturbations of the continuous spectrum. This makes considerably … how do you write in chicago styleWeb29 de mar. de 2006 · Abstract. A series of observations on experimentally produced vortex rings is described. The flow field, ring velocity and growth rate were observed using dye … how do you write in 3rd personWebIn nature, vortex rings are found to occur in various shapes and sizes. Perhaps the most familiar example is the smoke-ring which is produced when cigarette smoke is... Skip to main ... Widnall, S. E. and Sullivan, J. P. 1973 On the stability of vortex rings. Proc. Roy. Soc. London A332, 335–353. ADS Google Scholar how do you write in care of on a letter