Hostname: page-component-7dd5485656-g8tfn Total loading time: 0 Render date: 2025-10-31T00:13:30.082Z Has data issue: false hasContentIssue false
  • English
  • Français

Technical Note – Mean velocity and Reynolds shear stress in a turbulent boundary layer at low Reynolds numbers

Published online by Cambridge University Press:  04 July 2016

D. K. Bisset  and
R. A. Antonia
D. K. Bisset
Affiliation:
Department of Mechanical Engineering, University of Newcastle, Australia
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

An eddy viscosity relation for the inner region is combined with an empirical wake function for the outer region of a turbulent boundary layer. The calculated distributions for the mean velocity and Reynolds shear stress are compared with both direct numerical simulation and experimental data in a zero pressure gradient boundary layer, mainly at low Reynolds numbers. The comparison is favourable in both the inner and outer regions of the flow.

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 95 , Issue 947 , September 1991 , pp. 244 - 247
Copyright
Copyright © Royal Aeronautical Society 1991 

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.)

Article purchase

Temporarily unavailable

References

1. Fernholz, H. H. External Flows, Topics in Applied Physics, 1978, Ed. Bradshaw, P., 12, pp 45–107.Google Scholar
2. Dean, R. B. A single formula for the complete velocity profile in a turbulent boundary layer, J Fluids Eng, 1976, 98, pp 723–727.Google Scholar
3. Granville, P. S. A near-wall eddy viscosity formula for turbulent boundary layers in pressure gradients suitable for momentum, heat or mass transfer, J Fluids Eng, 1990, 112, pp 240–243.Google Scholar
4. Antonia, R. A., Bisset, D. K. and Kim, J. An eddy viscosity calculation method for a turbulent duct flow, J Fluids Eng, 1991, (to appear).Google Scholar
5. Kim, J., Moin, P. and Moser, R. Turbulence statistics in fully developed channel flow at low Reynolds number, J Fluid Mech, 1987, 177, pp 133–166.Google Scholar
6. Purtell, L. P., Klebanoff, P. S. and Buckley, F. T. Turbulent boundary layer at low Reynolds number, Phys Fluids, 1981, 24, pp 802–811.Google Scholar
7. Antonia, R. A., Bisset, D. K. and Browne, L. W. B. Effect of Reynolds number on the topology of the organized motion in a turbulent boundary layer, J Fluid Mech, 1990, 213, pp 267–286.Google Scholar
8. Erm, L. P., Smits, A. J. and Joubert, P. M. 1987. Low Reynolds Number Turbulent Boundary Layers on a Smooth Flat Surface in Zero Pressure Gradient, In: Turbulent Shear Flows, Durst, F., Launder, B. E., Lumley, J. L., Schmidt, F. W. and Whitelaw, J. H. (Eds), Vol 5, Springer, pp 186–196.Google Scholar
9. Spalart, P. R. Direct simulation of a turbulent boundary layer up to Rθ = 1410, J Fluid Mech, 1988, 187, pp 61–98.Google Scholar
10. Finley, P. J., Khoo, C. P. and Chin, J. P. Velocity measurements in a thin turbulent water layer, La Houille Blanche, 1966, 21, pp 713–721.Google Scholar
11. Granville, P. S. A modified law of the wake for turbulent shear flows, J Fluids Eng, 1976, 98, pp 578–580.Google Scholar
12. Granville, P. S. Eddy viscosities and mixing lengths for turbulent boundary layers on flat plates, smooth or rough, J Ship Res, 1988, 32, pp 229–237.Google Scholar
13. Li, J. D. and Perry, A. E. Shear Stress Profiles in Zero-Pressure-Gradient Turbulent Boundary Layers, Proc Tenth Australasian Fluid Mechanics Conference, Melbourne 1989, pp 7.9–7.12.Google Scholar
14. Coles, D. E. The Turbulent Boundary Layer in a Compressible Fluid, RAND Corporation Report R-403-PR, Santa Monica, CA. 1962.Google Scholar
15. Wei, T. and Willmarth, W. W. Reynolds-number effects on the structure of a turbulent channel flow, J Fluid Mech, 1989, 204, pp 57–95.Google Scholar
16. Antonia, R. A., Teitel, M., Kim, J. and Browne, L. W. B. Low Reynolds number effects in a fully developed turbulent channel flow, J Fluid Mech, 1990, (submitted).Google Scholar