Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-05T09:43:48.626Z Has data issue: false hasContentIssue false
  • English
  • Français

Turbulent boundary layers under small harmonic progressive oscillations of the free stream

Published online by Cambridge University Press:  04 July 2016

C. Y. Lam
C. Y. Lam*
Affiliation:
School of Mechanical & Production EngineeringNanyang Technological InstituteRepublic of Singapore
Get access Rights & Permissions [Opens in a new window]

Extract

A method is described for predicting the two-dimensional incompressible turbulent boundary layer on a semi-infinite flat plate under small harmonic progressive oscillations of the free-stream volocity for arbitrary frequency and wave speed. The free stream considered consists of a constant mean on which an oscillating amplitude varying with downstream distance is superimposed. The Reynolds shear stress is modelled by a new single-layer eddy viscosity formulation and.a differential-difference technique is used to solve the governing equations numerically. The oscillatory eddy viscosity formulated is complex, allowing a phase difference between the Reynolds stress and the velocity oscillations. Comparisons between the calculated results and those obtained by other existing methods and measurements show that the method and the turbulence model are satisfactory for a full range of frequencies and wave convection speeds. It is also found that a change in the wave speed has a drastic effect on the boundary layer response.

Type
Research Article
Information
The Aeronautical Journal , Volume 94 , Issue 937 , September 1990 , pp. 251 - 259
Copyright
Copyright © Royal Aeronautical Society 1990 

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

1. Carr, L. W. A Compilation of Unsteady Turbulent Boundary Layer Experimental Data. AGARD-AG 265, 1981.Google Scholar
2. Kuhn, G. D. and Nielsen, J. N. Studies of an Integral Method for Calculating Time-Dependent Turbulent Boundary Layers. Nielsen Engineering and Research, Inc, Rept NEAR-2-PU, 1973.Google Scholar
3. Singleton, R. E. and Nash, J. F. Method of calculating unsteady turbulent boundary layers in two- and three-dimensional flows. AlAA J, 1974, 12, (5), 590–595.Google Scholar
4. Nash, J. F., Carr, L. W. and Singleton, R. E. Unsteady turbulent boundary layers in two-dimensional incompressible flow. AlAA J, 1975, 13, (2), 167–173.Google Scholar
5. Telionis, D. P. On the dynamics of eddy viscosity models for turbulent boundary layers. Archives of Mechanics, 1976, 28, 997–1010.Google Scholar
6. Cebeci, T. Calculation of unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity. Proc R Soc A, 1977, 355, 225–238.Google Scholar
7. Romaniuk, M. S. and Telionis, D. P. Turbulence Models for Oscillating Boundary Layers. AIAA paper No. 79-0069, 1979.Google Scholar
8. Patel, M. H. On unsteady boundary layers. PhD Thesis, University of London, 1974.Google Scholar
9. Patel, M. H. On turbulent boundary layers in oscillatory flow. Proc R Soc A, 1977, 353, 121–144.Google Scholar
10. Kenison, R. C. An experimental study of the effect of oscillatory flow on the separation region in a turbulent boundary layer. AGARD Symposium of Unsteady Aerodynamics, AGARD-CP 227, 1977, 20–1.Google Scholar
11. Pericleous, K. A. An oscillating turbulent boundary layer in an adverse pressure gradient. PhD Thesis, University of London, 1977.Google Scholar
12. Horton, H. P. Private communication, 1984.Google Scholar
13. Patel, M. H. An integral method for the oscillating turbulent boundary layer. Aeronaut Q, 1981, 272–298.Google Scholar
14. Mellor, G. L. and Herring, H. J. Computation of turbulent boundary layers. AFOSR-IFP-Stanford Conf, 1968, 1, 331.Google Scholar
15. Cebeci, T. and Smith, A. M. O. Computation of turbulent boundary layers. AFOSR-IFP-Stanford Conf, 1968, 1, 346.Google Scholar
16. Patankar, S. V. and Spalding, D. B. Computation of turbulent boundary layers. AFOSR-IFP-Stanford Conf, 1968, 1, 356.Google Scholar
17. Copper, P. Turbulent boundary layer on a rotating disk calculated with an effective viscosity. AIAA J, 1971, 9, 225.Google Scholar
18. Hopkins, E. J., Keener, E. R., Polek, T. E. and Dwyer, H. A. Hypersonic turbulent skin-friction and boundary layer profiles on non-adiabatic flat plates. AIAA J, 1972, 10, 40.Google Scholar
19. Lam, C. Y. An eddy viscosity turbulence model. Int Comm Heat Mass Transfer, 1988, 15, (3), 355–363.Google Scholar
20. Squire, H. B. Reconsideration of the theory of free turbulence. Philos Mag, 1948, 39, (288), 1–20.Google Scholar
21. Lam, C. Y. Unsteady laminar and turbulent boundary layer computations using a differential-difference method, PhD Thesis, University of London, 1983.Google Scholar
22. Lam, C. Y. Calculation of laminar boundary layers under small harmonic progressive oscillations of the free stream. Int J Heat Fluid Flow, 1988, 9, 321–327.Google Scholar
23. Karlsson, S. K. F. An unsteady turbulent boundary layer. J Fluid Mech, 1959, 5, (2), 622–636.Google Scholar