Skip to main content

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)

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.

Hide All
Brown, G. L. & Roshko, A.1974 On density effects and large structure in turbulent mixing layers J. Fluid Mech. 64, 775.
Hill, F. M.1975 Ph.D. thesis, Imperial College, London.
Jeffreys, H. & Jeffreys, B. S.1950 Methods of Mathematical Physics.Cambridge University Press.
Lamb, H.1932 Hydrodynamics.Cambridge University Press.
Moore, D. W. & Saffman, P. G.1971 Structure of a line vortex in an imposed strain. In Aircraft Wake Turbulence and its Detection (ed. Olsen, Goldberg & Rogers), p. 339. Plenum.
Moore, D. W. & Saffman, P. G.1975 The density of organized vortices in a turbulent mixing layer J. Fluid Mech. 69, 465.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 9 *
Loading metrics...

Abstract views

Total abstract views: 97 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 20th November 2017. This data will be updated every 24 hours.