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Measurements of the growth rate and structure in plane turbulent mixing layers

Published online by Cambridge University Press:  19 April 2006

N. K. Pui
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Vancouver, Canada Present address: Dome Petroleum Company, Calgary, Canada.
I. S. Gartshore
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Vancouver, Canada

Abstract

Mean velocity and turbulent intensity measurements are reported for five different plane turbulent mixing layers, each with a different velocity ratio. These experiments confirm that increasing free-stream turbulence causes increases in the growth rate and in the Reynolds stresses. Cross-correlation measurements with time delay made in the mixing layer with the lowest free-stream turbulence level show that the large-eddy structure had length scales in the two cross-stream directions which were roughly equal, unlike the results reported by Brown & Roshko (1974) and others. Further measurements showed that a vortex-street wake existed immediately downstream of the splitter plate and that transition occurred in the wake flow rather than in a normal laminar mixing layer. This is thought to have prevented the Brown–Roshko structures from forming. Comparison of the growth rate observed in this case with other measured results suggests that the essential or effective turbulent structure in mixing layers is independent both of velocity ratio and of the degree of two-dimensionality which exists in the largest scales of turbulence.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Batt, R. G. 1975 Some measurements on the effect of tripping the two-dimensional shear layer. A.I.A.A. J. 13, 247248.Google Scholar
Bradshaw, P. 1976 Turbulence. In Topics in Applied Physics vol. 12, (ed. P. Bradshaw), pp. 4143. Springer.
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Champagne, F. H., Pao, Y. H. & Wygnanski, I. J. 1976 On the two-dimensional mixing region. J. Fluid Mech. 74, 209250.Google Scholar
Chandrsuda, C., Mehta, R. D., Weir, A. D. & Bradshaw, P. 1978 Effect of free-stream turbulence on large structure in turbulent mixing layers. J. Fluid Mech. 85, 693704.Google Scholar
Dean, R. B. & Bradshaw, P. 1976 Measurements of interacting turbulent shear layers in a duct. J. Fluid Mech. 78, 641676.Google Scholar
Dimotakis, P. E. & Brown, G. L. 1976 The mixing layer at high Reynolds number: large structure dynamics and entrainment. J. Fluid Mech. 78, 535560.Google Scholar
Jones, B. G., Planchon, H. P. & Hammersley, R. J. 1973 Turbulent correlation measurements in a two-stream mixing layer. A.I.A.A. J. 11, 11461150.Google Scholar
Liepmann, H. W. & Laufer, J. 1947 Investigation of free turbulent mixing. N.A.C.A. Tech. Note no. 1257.Google Scholar
Oster, D., Wygnanski, I. & Fiedler, H. 1976 Some preliminary observations on the effect of initial conditions on the structure of the two-dimensional turbulent mixing layer. SQUID Symp. Virginia.Google Scholar
Patel, R. P. 1973 An experimental study of a plane mixing layer. A.I.A.A. J. 11, 6771.Google Scholar
Phillips, O. M. 1955 The irrotational motion outside a free turbulent boundary. Proc. Camb. Phil. Soc. 51, 220229.Google Scholar
Pui, N. K. 1969 The plane mixing region between parallel streams. M.A. Sc. thesis, University of British Columbia.
Rodi, W. 1975 A review of experimental data of uniform density free turbulent boundary layers. In Studies in Convection, vol. 1 (ed. B. Launder), pp. 79166. Academic Press.
Roshko, A. 1976 Structure of turbulent shear flows: a new look. A.I.A.A. J. 14, 13491357.Google Scholar
Sabin, C. M. 1965 An analytical and experimental study of the plane, incompressible, turbulent shear layer with arbitrary velocity ratio and pressure gradient. Trans. A.S.M.E., Basic Engng 87, 421428.Google Scholar
Schlichting, H. 1969 Boundary Layer Theory, 4th edn. McGraw-Hill.
Spencer, B. W. & Jones, B. G. 1971 Statistical investigation of pressure and velocity fields in the turbulent two-stream mixing layer. A.I.A.A. Paper no. 71–613.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent shear Flow, 2nd edn. Cambridge University Press.
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237255.Google Scholar
Wygnanski, I. & Fiedler, H. E. 1970 The two-dimensional mixing region. J. fluid Mech. 41, 327362.Google Scholar
Wygnanski, I. & Oster, D. 1979 On the perseverence of a quasi two-dimensional eddy structure in a turbulent mixing layer. Submitted to J. Fluid Mech.Google Scholar