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  • Cited by 12
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    Philip, Jimmy Karp, Michael and Cohen, Jacob 2016. Streak instability and generation of hairpin-vortices by a slotted jet in channel crossflow: Experiments and linear stability analysis. Physics of Fluids, Vol. 28, Issue. 1, p. 014103.

    Sabatino, Daniel R. and Maharjan, Rijan 2015. Characterizing the formation and regeneration of hairpin vortices in a laminar boundary layer. Physics of Fluids, Vol. 27, Issue. 12, p. 124104.

    Deguchi, Kengo Meseguer, Alvaro and Mellibovsky, Fernando 2014. Subcritical Equilibria in Taylor-Couette Flow. Physical Review Letters, Vol. 112, Issue. 18,

    Cohen, J. Shukhman, I.G. Karp, M. and Philip, J. 2010. An analytical-based method for studying the nonlinear evolution of localized vortices in planar homogenous shear flows. Journal of Computational Physics, Vol. 229, Issue. 20, p. 7765.

    Tanny, Josef and Cohen, Jacob 2008. Revisiting the boundary layer structure used in Craig and Gordon's model of isotope fractionation in evaporation. Isotopes in Environmental and Health Studies, Vol. 44, Issue. 1, p. 11.

    Shukhman, I. G. 2007. Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. II. Elliptic flow. Physics of Fluids, Vol. 19, Issue. 1, p. 017106.

    Cohen, Jacob Suponitsky, V. Bar-Yoseph, P. Svizher, A. and Philip, J. 2006. 36th AIAA Fluid Dynamics Conference and Exhibit.

    Shukhman, I. G. 2006. Evolution of a localized vortex in plane nonparallel viscous flows with constant velocity shear. I. Hyperbolic flow. Physics of Fluids, Vol. 18, Issue. 9, p. 097101.

    Svizher, A. and Cohen, J. 2006. Holographic particle image velocimetry system for measurements of hairpin vortices in air channel flow. Experiments in Fluids, Vol. 40, Issue. 5, p. 708.

    Svizher, Alexander and Cohen, Jacob 2006. Holographic particle image velocimetry measurements of hairpin vortices in a subcritical air channel flow. Physics of Fluids, Vol. 18, Issue. 1, p. 014105.

    Shukhman, I. G. and Levinski, V. 2005. Temporal evolution of a localized weak vortex in viscous circular shear flows. Physics of Fluids, Vol. 17, Issue. 1, p. 017104.

    Suponitsky, Victoria Cohen, Jacob and Bar-Yoseph, Pinhas Zvi 2004. Evolution of Localized Vortex Disturbance in Uniform Shear Flow: Numerical Investigation. AIAA Journal, Vol. 42, Issue. 6, p. 1122.

  • Journal of Fluid Mechanics, Volume 379
  • January 1999, pp. 351-380

The evolution of a localized vortex disturbance in external shear flows. Part 2. Comparison with experiments in rotating shear flows

  • DOI:
  • Published online: 01 January 1999

The evolution of artificially generated localized disturbances in the shape of hairpin vortices, in laminar axisymmetric rotating shear flows, is investigated experimentally. The results are compared with the predictions of a theoretical model (Levinski & Cohen 1995) with respect to the growth of such disturbances. Hairpin vortices were generated at the surface of the inner cylinder of an axisymmetric Couette apparatus, employing an injection–suction technique. The flow field was analysed from flow visualization using top and side views and by measurements of the mean and instantaneous velocity fields, carried out using laser Doppler anemometry and particle image velocimetry. An instability domain, within the range of base flow parameters where the flow is known to be linearly stable, was found. The marginal ratio between the angular velocities of the inner and outer cylinders beyond which the flow is stable to finite-amplitude localized disturbances agrees with the theoretical prediction based on the measured mean flow in the region of the disturbance. The dependence of the hairpin's inclination angle on the ratio between the two angular velocities is fairly well predicted by the theoretical model.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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