Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-28T15:04:02.006Z Has data issue: false hasContentIssue false
  • English
  • Français

Laminar Compressible Boundary Layers with Non-Uniform Wall Temperatures

Published online by Cambridge University Press:  07 June 2016

T. Hughes
T. Hughes*
Affiliation:
University of Manchester
Get access

Summary

The results obtained from exact numerical solutions to the laminar boundary layer equations are compared with those given by the approximate method of Luxton and Young and the comparison shows that the latter method may be used for cases involving non-constant wall temperatures. This satisfactory result arises essentially from the fact demonstrated by the calculations that the skin friction is relatively insensitive to wall temperature gradients. It is also shown from these results that there is a lag in the propagation of wall temperature changes through the boundary layer. In consequence the Stanton number is a heat transfer parameter of doubtful value in cases of non-uniform wall temperature.

Type
Research Article
Information
Aeronautical Quarterly , Volume 22 , Issue 1 , February 1971 , pp. 1 - 11
Copyright
Copyright © Royal Aeronautical Society. 1971

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. Stewartson, K. Correlated incompressible and compressible boundary layers. Proc Roy. Soc., A, Vol. 200, p. 84, 1949.Google Scholar
2. Rott, N. and Crabtree, L. F. Simplified laminar boundary layer calculations for bodies of revolution and for yawed wings. Journal of the Aeronautical Sciences, Vol. 19, p. 553, 1952.CrossRefGoogle Scholar
3. Cohen, C. B. and Reshotko, E. Similar solutions for the compressible laminar boundary layer with heat transfer and arbitrary pressure gradient. NACA Report 1293, 1956.Google Scholar
4. Curle, N. The steady compressible laminar boundary layer with arbitrary pressure gradients and uniform wall temperature. Proc. Roy. Soc., A, Vol. 249; p. 206, 1958.Google Scholar
5. Monaghan, R. J. Effects of heat transfer on laminar boundary layer development under pressure gradients in compressible flow. ARC R & M 3218, 1960.Google Scholar
6. Young, A. D. Skin friction in the laminar boundary layer in compressible flow. Aeronautical Quarterly, Vol. I, p. 137, August 1949.CrossRefGoogle Scholar
7. Luxton, R. E. and Young, A. D. Generalised method for the calculation of the laminar compressible boundary layer characteristics with heat transfer and non-uniform pressure distribution. ARC R & M 3233, 1962.Google Scholar
8. Chapman, D. R. and Rubesin, M. W. Temperature and velocity profiles in the compressible laminar boundary layer with arbitrary distribution of surface temperature. Journal of the Aeronautical Sciences, Vol. 16, p. 547, 1949.CrossRefGoogle Scholar
9. Fage, A. and Falkner, V. M. Relation between heat transfer and surface friction for laminar flow. ARC R & M 1408, 1931.Google Scholar
10. Lighthill, M. J. Contributions to the theory of heat transfer through a laminar boundary layer. Proc. Roy. Soc., A, Vol. 202, p. 359, 1950.Google Scholar
11. Curle, N. Heat transfer and laminar boundary layer separation in steady compressible flow past a wall with non-uniform temperature. ARC R & M 3179, 1961.Google Scholar
12. Flugge-Lotz, I. and Blottner, F. G. Computation of the compressible laminar boundary layer flow including displacement thickness interaction using finite difference methods. Stanford University, Division of Engineering Mechanics, Technical Report 131, 1962.Google Scholar
13. Hughes, T. An investigation into boundary layer characteristics with various wall temperature distributions and free-stream pressure distributions. PhD Thesis, University of London, 1965.Google Scholar
14. Low, G. M. The compressible laminar boundary layer with heat transfer and small pressure gradient. NACA TN 3028, 1953.Google Scholar
15. Curle, N. The laminar boundary layer equations. Oxford Mathematical Monographs, Clarendon Press, Oxford, 1962.Google Scholar