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The effects of curvature in wall-bounded turbulent flows

Published online by Cambridge University Press:  21 April 2006

Robert D. Moser  and
Parviz Moin
Robert D. Moser
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
Parviz Moin
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
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Abstract

Low-Reynolds-number, mildly curved, turbulent channel flow has been simulated by direct numerical solution of the Navier – Stokes equations. Computed velocity fields were found to be in good agreement with experimental measurements. The resulting flow fields were used to study the effects of streamline curvature by comparing the concave and convex sides of the channel. Observed effects are consistent with experimental measurements for mild curvature. The most significant difference in the turbulence statistics is in the Reynolds shear stress. This is accompanied by significant differences in the terms of the equation for Reynolds-shear-stress budget. In addition, it was found that stationary Taylor – Görtler vortices were present and that they had a significant effect on the flow by contributing to the mean Reynolds shear stress, enhancing the asymmetry of the channel, and affecting the underlying turbulence.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 175 , February 1987 , pp. 479 - 510
Copyright
© 1987 Cambridge University Press

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References

Alfredson, P. H. & Johansson, A. V. 1984 On the detection of turbulence-generating events. J. Fluid Mech. 139, 325.Google Scholar
Barlow, R. S. & Johnston, J. P. 1985 Structure of turbulent boundary layers on a concave surface. Rep. MD-47, Department Mechanical Engineering, Stanford Univ., Stanford, California.Google Scholar
Bradshaw, P. 1973 The effects of streamline curvature on turbulent flow. AGARDograph no. 169.
Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385.Google Scholar
Eckelmann, H. 1974 The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow. J. Fluid Mech. 65, 439.Google Scholar
Ellis, L. B. & Joubert, P. N. 1974 Turbulent shear flow in a curved duct. J. Fluid Mech. 62, 65.Google Scholar
Eskinazi, S. & Yeh, H. 1956 An investigation on fully developed turbulent flows in a curved channel. J. Aero. Sci. 23, 23.Google Scholar
Gibson, M. M., Jones, W. P. & Younis, B. A. 1981 Calculation of turbulent boundary layers on curved surfaces. Phys. Fluids 24, 386.Google Scholar
Gillis, J. C. & Johnston, J. P. 1983 Turbulent boundary-layer flow and structure on a convex wall and its redevelopment on a flat wall. J. Fluid Mech. 135, 123.Google Scholar
Görtler, H. 1940 On the three dimensional instability of laminar boundary layers on concave walls. NACA TM-137.
Gregory, N. & Walker, W. S. 1950 The effect of isolated surface excrescences in the boundary layer. Aero. Res. Counc. R&M 2779.Google Scholar
Hoffmann, P. H. & Bradshaw, P. 1978 Turbulent boundary layers on surfaces of mild longitudinal curvature. Imperial College Aeronautics Rep. 78–04.Google Scholar
Hoffmann, P. H., Muck, K. C. & Bradshaw, P. 1985 The effect of concave surface curvature on turbulent boundary layers. J. Fluid Mech. 161, 371–403.Google Scholar
Hunt, I. A. & Joubert, P. N. 1979 Effects of small streamline curvature on turbulent duct flow. J. Fluid Mech. 91, 633.Google Scholar
Irwin, H. P. A. H. & Smith, P. A. 1975 Prediction of the effect of streamline curvature on turbulence. Phys. Fluids 18, 624.Google Scholar
Jeans, A. H. & Johnston, J. P. 1982 The effect of streamwise concave curvature on turbulent boundary layer structure. Rep. MD-40. Department Mechanical Engineering, Stanford Univ., Stanford, California.Google Scholar
Johnston, J. P., Halleen, R. M. & Lezius, D. K. 1972 Effects of spanwise rotation on the structure of two-dimensional fully developed channel flow. J. Fluid Mech. 56, 533.Google Scholar
Kastrinakis, E. G. & Eckelmann, H. 1983 Measurement of streamwise vorticity fluctuations in a turbulent channel flow. J. Fluid Mech. 137, 165.Google Scholar
Kline, S. J., Cantwell, B. J. & Lilley, G. M. (eds) 1982 Proc. 1980–81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows, vol. 1. Department Mechanical Engineering, Stanford Univ., Stanford, California.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741.Google Scholar
Kreplin, H. & Eckelmann, H. 1979a Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow. Phys. Fluids 22, 1233.Google Scholar
Kreplin, H. & Eckelmann, H. 1979b Propagation of perturbations in the viscous sublayer and adjacent wall regions. J. Fluid Mech. 95, 305.Google Scholar
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537.Google Scholar
Meroney, R. N. & Bradshaw, P. 1975 Turbulent boundary-layer growth over a longitudinally curved surface. AIAA J. 13, 1448.Google Scholar
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341.Google Scholar
Moser, R. D. & Moin, P. 1984 Direct numerical simulation of curved turbulent channel flow. NASA TM-85974.
Moser, R. D., Moin, P. & Leonard, A. 1983 A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow. J. Comp. Phys. 52, 524.Google Scholar
Patel, V. C. 1968 Measurements of secondary flow in the boundary layers of a 180 channel. ARC Rep. 30428.
So, R. M. C. 1975 A turbulent velocity scale for curved shear flows. J. Fluid Mech. 70, 37.Google Scholar
So, R. M. C. & Mellor, G. L. 1973 Experiment on convex curvature effects in turbulent boundary layers. J. Fluid Mech. 60, 43.Google Scholar
So, R. M. C. & Mellor, G. L. 1975 Experiment on turbulent boundary layers on a concave wall. Aero. Quart. 26, 35.Google Scholar
Tani, I. 1962 Production of longitudinal vortices in the boundary layer along a concave wall. J. Geophys. Res. 67, 3075.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, p. 145. Cambridge University Press.
Wallace, J. M., Eckelmann, H. & Brodkey, R. S. 1972 The wall region in turbulent shear flow. J. Fluid Mech. 54, 39.Google Scholar
Wattendorf, F. L. 1935 A study of the effect of curvature on fully developed turbulent flow. Proc. R. Soc. Lond. 148, 565.Google Scholar
Wilcken, H. 1930 Effect of curved surfaces on turbulent boundary layers. NASA TT-F-11,421.
Wray, A. A. 1983 VECTORAL for FORTRAN users. (Available from the author.) NASA Ames Research Center, Moffett Field, California.