Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T20:53:34.831Z Has data issue: false hasContentIssue false
  • English
  • Français

Effective-Viscosity Model for Turbulent Wall Boundary Layers

Published online by Cambridge University Press:  07 June 2016

J C Anyiwo  and
R N Meroney
J C Anyiwo
Affiliation:
Colorado State University, USA
R N Meroney
Affiliation:
Colorado State University, USA
Get access

Summary

Existing effective viscosity models which have been very valuable in the mean field closure method for turbulent boundary layer computation have shown certain undesirable limitations for certain realistic but general boundary layer flows. The more general flows usually involve non-negligible considerations of pressure gradients and such wall conditions as roughness, curvature and aspiration or transpiration in varying degrees of importance. The effects of these external and wall influences have, unfortunately, been underplayed by most existing effective viscosity models. The present model of the effective viscosity is developed for a general flow and has shown remarkable agreement with experimentation, without being any more complex than existing models.

Type
Research Article
Information
Aeronautical Quarterly , Volume 24 , Issue 2 , May 1973 , pp. 92 - 102
Copyright
Copyright © Royal Aeronautical Society. 1973

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 Jaffe, N A Lind, R C Smith, A M O Solution to the binary diffusion laminar boundary layer equations including the effects of second-order transverse curvature. AIAA Journal, Vol 5, pp 1563-1569, September 1967.Google Scholar
2 Smith, A M O Clutter, D W Solution of the incompressible laminar boundary layer equations. AIAA Journal, Vol 1, pp 2062-2071, September 1963.Google Scholar
3 Mellor, G Herring, H A computer program to calculate incompressible laminar and turbulent boundary layer development. Princeton University Report. NASA CR-1564, March 1970.Google Scholar
4 Luxton, R Manton, M J Banner, M L On the concept of eddy viscosity. Conference on Thermodynamics and Fluid Mechanics, The Institution of Mechanical Engineers, Australia, 1967.Google Scholar
5 Reichárdt, H Representation of velocity distribution of turbulent flow in pipes. Zeitschrift für Angewandte Mathematik und Mechanik, Vol 31, pp 208-219, 1951.Google Scholar
6 Deissler, R G Analysis of turbulent heat transfer, mass transfer, and friction in smooth tubes at high Prandtl and Schmidt numbers. NACA TN 3145, 1954.Google Scholar
7 Van Driest, E R On turbulent flow near the wall. Journal of the Aeronautical Sciences, Vol 23, pp 1007-1011, 1956.Google Scholar
8 Rotta, J Das in Wandnähe gültige Geschwindigkeitsgesetz turbulenter Strömungen. Ingenieur Archiv, Vol 18, pp 277-280, 1950.CrossRefGoogle Scholar
9 Elrod, H G Note on the turbulent shear stress near a wall. Journal of the Aeronautical Sciences, Vol 24, pp 468-469, June 1957.Google Scholar
10 Fraser, M A study of the transpired turbulent boundary layer on a flat plate. Ph D Thesis, Massachusetts Institute of Technology, 1964.Google Scholar
11 Moffat, R J Loyd, R J Kays, W M The turbulent boundary layer on a porous plate: An experimental study of the fluid dynamics with strong favorable pressure gradients and blowing. Report HMT-13, Stanford University, May 1970.Google Scholar
12 Nikuradse, J Strömungsgesetze in rauhen Rohren. VDI – Forschungsheft, No 361, 1933. (Translated as NACA TM 1292, 1950.)Google Scholar
13 Perry, A E Joubert, P N Rough-wall boundary layers in adverse pressure gradients. Journal of Fluid Mechanics, Vol 17, pp 193-211, 1963.CrossRefGoogle Scholar
14 Mellor, G L Herring, H J A study of turbulent boundary layer models. Part 1, Mean velocity field closure. Report 914, Princeton University, Department of Aerospace and Mechanical Sciences, May 1970.Google Scholar
15 Meroney, R N Velocity and shear distributions in a transpired turbulent boundary layer. Proceedings of the 10th Midwestern Mechanics Conference, Colorado State University, pp 1125-1143, 1967.Google Scholar
16 Moses, H L The behaviour of turbulent boundary layers in adverse pressure gradients. Massachusetts Institute of Technology, Gas Turbine Laboratory Report 73, 1964.CrossRefGoogle Scholar
17 Moore, D Harkness, J Experimental investigations of the compressible turbulent boundary layer at very high Reynolds number. Ling–Temco–Vought Research Center Report O–7100/4R–9, 1964.Google Scholar