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A Reynolds-stress closure model of turbulence applied to the calculation of a highly curved mixing layer

Published online by Cambridge University Press:  20 April 2006

M. M. Gibson  and
W. Rodi
M. M. Gibson
Affiliation:
Mechanical Engineering Department, Imperial College, London
W. Rodi
Affiliation:
Sonderforschungsbereich 80, University of Karlsruhe, Germany
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Abstract

The measurements in a highly curved mixing layer reported by Castro & Bradshaw (1976) are used to evaluate the performance of a calculation method based on the solution of modelled transport equations for the Reynolds stresses and the dissipation rate of turbulent energy. The model reproduces the suppression of turbulence by stabilizing curvature and, downstream of the curved region, where the flow returns asymptotically to being a plane mixing layer, calculated values of turbulent intensity and shear stress overshoot the plane-layer values in accordance with the experimental observations. The results are compared with those obtained by Townsend (1980) from a rapid-distortion model which correctly predicts the streamwise variation of the shear stress to intensity ratio. By contrast, calculations based on a conventional two-equation eddy-viscosity model fail badly to account for curvature effects on this flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 103 , February 1981 , pp. 161 - 182
Copyright
© 1981 Cambridge University Press

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References

Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1964 Turbulence in the noise-producing region of a circular jet. J. Fluid Mech. 19, 591–624.Google Scholar
Bradshaw, P. 1969 The analogy between streamline curvature and buoyancy in turbulent shear flow. J. Fluid Mech. 36, 177–191.Google Scholar
Bradshaw, P. 1973 Effects of streamline curvature on turbulent flow. AGARDograph 169.Google Scholar
Castro, I. P. 1973 A highly distorted turbulent free shear layer. Ph.D. thesis, Imperial College, London.
Castro, I. P. & Bradshaw, P. 1976 The turbulence structure of a highly curved mixing layer. J. Fluid Mech. 73, 265–304.Google Scholar
Daly, B. J. & Harlow, F. H. 1970 Transport equations in turbulence. Phys. Fluids 13, 2634–2649.Google Scholar
Gibson, M. M. 1978 An algebraic stress and heat-flux model for turbulent shear flow with streamline curvature. Int. J. Heat Mass Transfer 21, 1609–1617.Google Scholar
Gibson, M. M. & Launder, B. E. 1976 On the calculation of horizontal, turbulent, free shear flows under gravitational influence. Trans. A.S.M.E. C, J. Heat Transfer 98, 81–87.Google Scholar
Gibson, M. M. & Launder, B. E. 1978 Ground effects on pressure fluctuations in the atmospheric boundary layer. J. Fluid Mech. 86, 491–511.Google Scholar
Hanjalic, K. & Launder, B. E. 1972 A Reynolds-stress model of turbulence and its application to thin-shear layers. J. Fluid Mech. 52, 609–638.Google Scholar
Hanjalic, K. & Launder, B. E. 1979 Preferential spectral transport by irrotational straining. Paper at ASME Symposium on Turbulent Boundary Layers, Niagara Falls, New York.
Hunt, J. C. R. 1978 A review of the theory of rapidly distorted turbulent flows and its applications. Fluid Dynamics Trans. 9, 121–152.Google Scholar
Irwin, H. P. A. H. & Smith, P. A. 1975 Prediction of the effect of streamline curvature on turbulence. Phys. Fluids 18, 624–630.Google Scholar
Launder, B. E. & Morse, A. 1979 Numerical prediction of axisymmetric free shear flows with a second-order Reynolds-stress closure. Proc. 1st Symp. on Turbulent Shear Flow, Springer-Verlag, Heidelberg.
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537–566.Google Scholar
Launder, B. E. & Spalding, D. B. 1974 The numerical computation of turbulent flows. Computer Methods in Appl Mech. and Eng. 3, 269–289.Google Scholar
Leslie, D. C. 1980 Analysis of a strongly sheared, nearly homogeneous turbulent shear flow. J. Fluid Mech. 98, 435–448.Google Scholar
Lumley, J. L. 1980 Second order modelling of turbulent flows. In Prediction Methods for Turbulent Flows (ed. W. Kollmann). Hemisphere.
Mellor, G. L. 1975 A comparative study of curved flow and density-stratified flow. J. Atmos. Sci. 32, 1278–1282.Google Scholar
Morse, A. 1979 Axisymmetric turbulent shear flows with and without swirl. Ph.D. thesis, University of London.
Naot, D., Shavit, A. & Wolfshtein, M. 1970 Interaction between components of the turbulent velocity correlation tensor. Israel J. Tech. 8, 259.Google Scholar
Patankar, S. V. & Spalding, D. B. 1970 Heat and Mass Transfer in Boundary Layers. Intertext Books.
Reynolds, W. C. 1970 Computation of turbulent flows: state-of-the-art. Rep. MD-27, Mech. Eng. Dept., Stanford University.
Rodi, W. 1975 A review of experimental data of uniform density free turbulent boundary layers. Studies in Convection 1. Ed. B. E. Launder. Academic Press.
Rotta, J. C. 1951 Statistische theorie nichhomogenor turbulenz. Z. Phys. 129, 547–572.Google Scholar
Samaraweera, D. S. A. 1978 Turbulent heat transport in two- and three-dimensional temperature fields. Ph.D. thesis, Imperial College, London.
Smits, A. J., Young, S. T. B. & Bradshaw, P. 1979 The effect of short regions of high surface curvature on turbulent boundary layers. J. Fluid Mech. 94, 209–242.Google Scholar
Townsend, A. A. 1980 The response of sheared turbulence to additional distortion. J. Fluid Mech. 98, 171–191.Google Scholar
Wyngaard, J. C., Tennekes, H., Lumley, J. L. & Margolis, D. P. 1968 Structure of turbulence in a curved mixing layer. Phys. Fluids 11, 1251–1253.Google Scholar