Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-07-02T16:19:53.753Z Has data issue: false hasContentIssue false

Developing turbulent boundary layers with system rotation

Published online by Cambridge University Press:  20 April 2006

J. H. Watmuff
Affiliation:
University of Melbourne, Department of Mechanical Engineering, Parkville, Victoria 3052, Australia Present Address: Aeronautical Research Laboratories, Fishermen's Bend, Victoria, Australia.
H. T. Witt
Affiliation:
University of Melbourne, Department of Mechanical Engineering, Parkville, Victoria 3052, Australia
P. N. Joubert
Affiliation:
University of Melbourne, Department of Mechanical Engineering, Parkville, Victoria 3052, Australia

Abstract

Measurements are presented for low-Reynolds-number turbulent boundary layers developing in a zero pressure gradient on the sidewall of a duct. The effect of rotation on these layers is examined. The mean-velocity profiles affected by rotation are described in terms of a common universal sublayer and modified logarithmic and wake regions.

The turbulence quantities follow an inner and outer scaling independent of rotation. The effect appears to be similar to that, of increased or decreased layer development. Streamwise-energy spectra indicate that, for a given non-dimensional wall distance, it is the low-wavenumber spectral components alone that are affected by rotation.

Large spatially periodic spanwise variations of skin friction are observed in the destabilized layers. Mean-velocity vectors in the cross-stream plane clearly show an array of vortex-like structures which correlate strongly with the skin-friction pattern. Interesting properties of these mean-flow structures are shown and their effect on Reynolds stresses is revealed. Near the duct centreline, where we have measured detailed profiles, the variations are small and there is a reasonable momentum balance.

Large-scale secondary circulations are also observed but the strength of the pattern is weak and it appears to be confined to the top and bottom regions of the duct. The evidence suggests that it has minimally affected the flow near the duct centreline where detailed profiles were measured.

Type
Research Article
Copyright
© 1985 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bippes H.1972 Experimentelle Untersuchung des laminar-turbulenten Umschlags an einer parallel angeströmten konkaven Wand. Sitz. Heidelberger Akad. der Wiss. Math.-naturwiss. kasse 3. (Translation NASA TM-75243).Google Scholar
Blackwelder, R. F. & Haritonidis J. H.1983 Scaling of the bursting frequency in turbulent boundary layers. J. Fluid Mech. 132, 87.Google Scholar
Bradshaw P.1965 The effect of wind tunnel screens on nominally two-dimensional boundary layers. J. Fluid Mech. 22, 679.Google Scholar
Bradshaw P.1969 The analogy between streamline curvature and buoyancy in turbulent shear flow. J. Fluid Mech. 36, 177.Google Scholar
Bradshaw P.1973 Effects of streamline curvature on turbulent flow. AGARDograph 169.Google Scholar
Coles D. E.1962 The turbulent boundary layer in a compressible fluid. Rand Corp. Rep. R-403-PR, Appendix A.Google Scholar
Coles, D. E. & Hirst E. A.1969 Proc. Computation of Turbulent Boundary Layers, 1968 AFOSR-IFP-Stanford Conference, vol. II. Thermosciences Div. Stanford University.
Görtler H.1940 On the three-dimensional instability of laminar boundary layers on concave walls. NAC A Tech. Memo. 1375 - translation of Math. Phys. Kl., Nachr. Ges. Wiss., Göttingen, vol. 1, 1.Google Scholar
Hart J. E.1971 Instability and secondary motion in a rotating channel flow. J. Fluid Mech. 45, 341.Google Scholar
Head, M. R. & Bandyopadyay P.1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297.Google Scholar
Hill, P. G. & Moon I. M.1962 Effects of Coriolis on the turbulent boundary layer in rotating fluid machines. Gas Turbine Laboratory Report No. 69, MIT.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
Jeans, A. H. & Johnston J. P.1982 The effects of streamwise concave curvature on turbulent boundary layer structure. Dept of Mechanical Engineering, Stanford University, Rep. MD-40.Google Scholar
Johnston J. P., Halleen, R. M. & Lezius D. K.1972 Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow. J. Fluid Mech. 56, 533.Google Scholar
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
Koyama H., Masuda S., Agriga, I. & Watanabe I.1979a Stabilizing and destabilizing effects of Coriolis force on two-dimensional laminar and turbulent boundary layers. Trans. ASME A: J. Engng Power 101, 23.Google Scholar
Koyama H., Masuda S., Ariga, I. & Watanabe I.1979b Turbulence structure and three-dimensionality of a rotating two-dimensional boundary layer. 2nd Intl Symp. of Turbulent Shear Flow, Imperial College, London.Google Scholar
Lezius, D. K. & Johnston J. P.1976 Roll-cell instabilities in rotating laminar and turbulent channel flows. J. Fluid Mech. 77, 153.Google Scholar
Mager A.1951 Generalisation of boundary layer momentum integral equations to three-dimensional flow including those of rotating systems. NACA Tech. Note 2310.Google Scholar
Moon I. M.1964 Effect of Coriolis force on the turbulent boundary layer in rotating fluid machines. Gas Turbine Laboratory Rep. No. 74, MIT.Google Scholar
Moore J.1967 Effects of Coriolis on turbulent flow in rotating rectangular channels. Gas Turbine Laboratory Rep. no. 89, MIT.Google Scholar
Patel V. C.1965 Calibration of the Preston tube and limitations on its use in pressure gradients. J. Fluid Mech. 23, 185.Google Scholar
Perry A. E.1982 Hot-wire Anemometry. Clarendon.
Perry, A. E. & Abell C. J.1977 Asymptotic similarity of turbulence structures in smooth-and rough-walled pipes. J. Fluid Mech. 79, 785.Google Scholar
Perry, A. E. & Chong M. S.1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173.Google Scholar
Perry, A. E. & Watmuff J. H.1981 The phase-averaged large-scale structures in three-dimensional turbulent wakes. J. Fluid Mech. 103, 33.Google Scholar
Prandtl L.1931 Effect of stabilising forces on turbulence. NACA Tech. Memo. 625.Google Scholar
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.Google Scholar
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.1972 An experimental investigation of turbulent boundary layers along curved surfaces. NASA CR-1940.
Speziale C. G.1982 Numerical study of viscous flow in rotating rectangular ducts. J. Fluid Mech. 122, 251.Google Scholar
Speziale, C. G. & Thangham S.1983 Numerical study of secondary flows and roll-cell instabilities in rotating channel flow. J. Fluid Mech. 130, 377.Google Scholar
Swearingen, J. D. & Blackwelder R. F.1983 Parameters controlling the spacing of streamwise vortices on concave walls. AIAA 21st Aerospace Sciences Meeting, Nevada.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. 2nd edn. Cambridge University Press.
Watmuff J. H., Witt, H. T. & Joubert P. N.1983 Effects of spanwise rotation on two-dimensional zero pressure gradient boundary layers. IUTAM Symp. Structure of Complex Turbulent Shear Flow. IMST Marseille 1982. Springer-Verlag.Google Scholar
Willmarth, W. W. & Bogar J. B.1977 Survey and new measurements of turbulent structure near the wall. Phys. Fluids Suppl. 20, S9.Google Scholar