Hostname: page-component-7479d7b7d-68ccn Total loading time: 0 Render date: 2024-07-13T20:30:17.288Z Has data issue: false hasContentIssue false
  • English
  • Français

Decay of a Velocity Maximum in a Turbulent Boundary Layer

Published online by Cambridge University Press:  07 June 2016

M. P. Escudier ,
W. B. Nocoll ,
D. B. Spalding  and
J. H. Whitelaw
M. P. Escudier
Affiliation:
Mechanical Engineering Department, Imperial College of Science and Technology
W. B. Nocoll
Affiliation:
Mechanical Engineering Department, Imperial College of Science and Technology
D. B. Spalding
Affiliation:
Mechanical Engineering Department, Imperial College of Science and Technology
J. H. Whitelaw
Affiliation:
Mechanical Engineering Department, Imperial College of Science and Technology
Get access

Summary

The paper describes an “explicit” method of predicting the flow properties of a turbulent boundary layer; particular attention is paid to the region in which the growth of the layer is characterised by the decay of a velocity maximum. The validity of the method is tested against the data of Wieghardt and against new data of the present authors; it is shown to be satisfactory. The integral flow properties predicted by the method are used, together with a further assumption, to predict velocity profiles; these closely resemble the measured ones.

Type
Research Article
Information
Aeronautical Quarterly , Volume 18 , Issue 2 , May 1967 , pp. 121 - 132
Copyright
Copyright © Royal Aeronautical Society. 1967

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. Truckenbrodt, E. Ein Quadraturverfahren zur Berechnung der laminaren und turbulenten Reibungschicht bei ebener und rotationssymmetrischer Strömung. Ingenieur Archiv, Vol. 20 p. 211, 1952.CrossRefGoogle Scholar
2. Spence, D. A. The development of turbulent boundary layers. Journal of the Aeronautical Sciences, Vol. 23 p. 3, 1956.CrossRefGoogle Scholar
3. Head, M. R. Entrainment in the turbulent boundary layer. ARC R & M 3152, 1960.Google Scholar
4. Thompson, B. G. J. A critical review of existing methods of calculating the turbulent boundary layer. ARC Report 26 109, FM 3492, 1964.Google Scholar
5. Walz, A. Uber Fortschritte in Näherungstheorie und Praxis der Berechnung kompressibler laminarer und turbulenter Grenzschichten mit Wärmeübergang. Zeitschrift für Flugwissenschajten (ZFW), Vol. 13 p. 89, 1965.Google Scholar
6. Glauert, M. B. The wall jet. Journal of Fluid Mechanics, Vol. 1 p. 625, 1956.CrossRefGoogle Scholar
7. Myers, G. E., Schauer, J. J. and Eustis, R. H. The plane turbulent wall jet flow development and friction factor. Transactions of the American Society of Mechanical Engineers, Journal of Basic Engineering, Vol. 85 p. 47, 1963.CrossRefGoogle Scholar
8. Gartshore, I. S. The streamwise development of two-dimensional wall jets and other two-dimensional turbulent shear flows. PhD Thesis, Department of Mechanical Engineering, McGill University, 1965.Google Scholar
9. Harris, G. L. The turbulent wall jet in a moving stream. AGARDograph 97, (1), p. 125, 1965.Google Scholar
10. Spalding, D. B. A unified theory of friction, heat transfer and mass transfer in the turbulent boundary layer and wall jet. ARC Report 25 925, 1964.Google Scholar
11. Patankar, S. V. and Spalding, D. B. A calculation procedure for heat transfer by forced convection through two-dimensional uniform-property turbulent boundary layers on smooth impermeable walls. Proceedings of the Third International Heat Transfer Conference, Chicago, 1966.Google Scholar
12. Spalding, D. B. Progress in the development of a unified theory of friction, heat transfer and mass transfer in boundary layers and jets. Imperial College, Department of Mechanical Engineering Tech. Note TWF/TN/10, 1966.Google Scholar
13. Escudier, M. P. and Nicoll, W. B. The entrainment function in turbulent boundary-layer and wall-jet calculations. Journal of Fluid Mechanics, Vol. 25 p. 337, 1966.CrossRefGoogle Scholar
14. Nicoll, W. B. and Escudier, M. P. Empirical relationships between the shape factors H 32 and H 12 for uniform-density turbulent boundary layers and wall jets. AIAA Journal, Vol. 4 p. 940, 1966.CrossRefGoogle Scholar
15. Escudier, M. P., Nicoll, W. B. and Spalding, D. B. An explicit drag law for uniform-density turbulent boundary layers on smooth impermeable walls. Imperial College, Department of Mechanical Engineering Tech. Note TWF/TN/12, 1966.Google Scholar
16. Spalding, D. B. The kinetic-energy deficit equation of the turbulent boundary layer. AGARDograph 97, (1), p. 191, 1965.Google Scholar
17. Escudier, M. P. and Spalding, D. B. A note on the turbulent uniform-property hydro-dynamic boundary layer on a smooth impermeable wall; comparisons of theory with experiment. ARC Current Paper 875, 1965.Google Scholar
18. Escudier, M. P. and Nicoll, W. B. The shear-work integral in calculations of turbulent boundary layers with and without velocity maxima. Imperial College, Department of Mechanical Engineering Tech. Note TWF/TN/18, 1966.Google Scholar
19. Wieghardt, K. Hot air discharge for de-icing. AAF Translation No. F-Ts-919—RE, 1946.Google Scholar
20. Whitelaw, J. H. An experimental investigation of the two-dimensional wall jet. ARC Report 28 179, HMT 106, 1966.Google Scholar