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The density of organized vortices in a turbulent mixing layer

  • D. W. Moore (a1) and P. G. Saffman (a2)
Abstract

It is argued on the basis of exact solutions for uniform vortices in straining fields that vortices of finite cross-section in a row will disintegrate if the spacing is too small. The results are applied to the organized vortex structures observed in turbulent mixing layers. An explanation is provided for the disappearance of these structures as they move downstream and it is deduced that the ratio of average spacing to width should be about 3·5, the width being defined by the maximum slope of the mean velocity. It is shown in an appendix that walls have negligible effect.

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References
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Brown, G. L. & Roshko, A.1972 The effect of density differences on the turbulent mixing layer. Turbulent Shear Flows, AGARD-CP-93, 231.
Brown, G. L. & Roshko, A.1974 On density effects and large structure in turbulent mixing layers J. Fluid Mech. 64, 775.
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, p. 339. Plenum.
Roberts, K. V. & Christiansen, J. P.1972 Topics in computational fluid mechanics Comp. Phys. Comm. (Suppl.) 3, 14.
Saffman, P. G.1970 A model for inhomogeneous turbulent flow. Proc. Roy. Soc. A 317, 417.
Winant, C. D. & Browand, F. K.1974 Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237.
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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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