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The density of organized vortices in a turbulent mixing layer

Published online by Cambridge University Press:  29 March 2006

D. W. Moore  and
P. G. Saffman
D. W. Moore
Affiliation:
Department of Mathematics, Imperial College, London
P. G. Saffman
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 69 , Issue 3 , 10 June 1975 , pp. 465 - 473
Copyright
© 1975 Cambridge University Press

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References

Brown, G. L. & Roshko, A. 1972 The effect of density differences on the turbulent mixing layer. Turbulent Shear Flows, AGARD-CP-93, 23–1.Google Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers J. Fluid Mech. 64, 775.Google Scholar
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.Google Scholar
Saffman, P. G. 1970 A model for inhomogeneous turbulent flow. Proc. Roy. Soc. A 317, 417.Google Scholar
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.Google Scholar