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    Saffman, P.G. 1981. Transition and Turbulence.

    Baker, Gregory R. 1980. Energetics of a linear array of hollow vortices of finite cross-section. Journal of Fluid Mechanics, Vol. 99, Issue. 01, p. 97.


Structure of a linear array of hollow vortices of finite cross-section

  • G. R. Baker (a1), P. G. Saffman (a1) and J. S. Sheffield (a1)
  • DOI:
  • Published online: 01 March 2006

Free-streamline theory is employed to construct an exact steady solution for a linear array of hollow, or stagnant cored, vortices in an inviscid incompressible fluid. If each vortex has area A and the separation is L, there are two possible shapes if A½/L is less than a critical value 0.38 and none if it is larger. The stability of the shapes to two-dimensional, periodic and symmetric disturbances is considered for hollow vortices. The more deformed of the two possible shapes is found to be unstable while the less deformed shape is stable.

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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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