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  • Cited by 4
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Green, Christopher C. 2015. Analytical solutions for two hollow vortex configurations in an infinite channel. European Journal of Mechanics - B/Fluids, Vol. 54, p. 69.

    Crowdy, Darren G. and Green, Christopher C. 2011. Analytical solutions for von Kármán streets of hollow vortices. Physics of Fluids, Vol. 23, Issue. 12, p. 126602.

    Aboelkassem, Yasser and Vatistas, Georgios H. 2007. New Model for Compressible Vortices. Journal of Fluids Engineering, Vol. 129, Issue. 8, p. 1073.

    Vatistas, Georgios H. and Aboelkassem, Yasser 2006. Extension of the Incompressible n = 2 Vortex into Compressible. AIAA Journal, Vol. 44, Issue. 8, p. 1912.

  • Journal of Fluid Mechanics, Volume 301
  • October 1995, pp. 1-17

Steady compressible vortex flows: the hollow-core vortex array

  • K. Ardalan (a1), D. I. Meiron (a1) and D. I. Pullin (a2)
  • DOI:
  • Published online: 01 April 2006

We examine the effects of compressiblity on the structure of a single row of hollowcore, constant-pressure vortices. The problem is formulated and solved in the hodograph plane. The transformation from the physical plane to the hodograph plane results in a linear problem that is solved numerically. The numerical solution is checked via a Rayleigh-Janzen expansion. It is observed that for an appropriate choice of the parameters M = q/c, and the speed ratio, a = q/qv, where qv is the speed on the vortex boundary, transonic shock-free flow exists. Also, for a given fixed speed ratio, a, the vortices shrink in size and get closer as the Mach number at infinity, M, is increased. In the limit of an evacuated vortex core, we find that all such solutions exhibit cuspidal behaviour corresponding to the onset of limit lines.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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