Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-15T09:52:18.720Z Has data issue: false hasContentIssue false
  • English
  • Français

A Comparison Between Some Approximate and Exact Solutions of the Laminar Boundary-Layer Equations

Published online by Cambridge University Press:  04 July 2016

J. L. Stollery
J. L. Stollery*
Affiliation:
Department of Aeronautics, Imperial College of Science and Technology, London
Get access Rights & Permissions [Opens in a new window]

Extract

There are many approximate methods for solving the laminar boundary-layer equations. They vary greatly in complexity and ingenuity but are similar in that most of them use the momentum integral equation together with data culled from Cohen and Reshotko's valuable catalogue of similarity solutions. Further details may be found, for example, in the book by Curle.

Perhaps one of the simplest approximate methods to use is that due to Luxton and Young. More recently Luxton has extended the method so that heat transfer rate distributions also can be obtained. He is careful to point out that, since his method depends on correlations obtained from similar solutions, it cannot be claimed a priori that the method gives an accurate result. Until recently there have been few “exact” calculations against which approximate methods may be tested. Indeed when Morduchow made his review of boundary-layer calculations in 1965 he quoted only two exact results for non-zero Mach number (by NPL) and cast doubt on one of those. Fitzhugh has now computed a number of solutions of the laminar boundary-layer equations using the finite-difference program of Sells. Further solutions have recently been obtained by F. Smith.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 74 , Issue 709 , January 1970 , pp. 55 - 56
Copyright
Copyright © Royal Aeronautical Society 1970 

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. Curle, N. The Laminar Boundary-Layer Equations. Oxford Mathematical Monographs, Clarendon Press, Oxford 1962.Google Scholar
2. Luxton, R. E. and Youno, A. D. A Generalised Method for the Calculation of the Laminar Compressible Boundary-Layer Characteristics with Heat Transfer and Non- Uniform Pressure Distributions. ARC R & M 3233, 1962.Google Scholar
3. Luxton, R. E. The Calculation of Heat Transfer Coefficients from Skin Friction Coefficients in the Compressible Laminar Boundary Layer on an Aerofoil. Aeronautical Quarterly, August 1968.Google Scholar
4. Luxton, R. E. Corrigendum to ref. 3. Aeronautical Quarterly, May 1969.Google Scholar
5. Morduchow, M. Review of Theoretical Investigations on Effect of Heat Transfer on Laminar Separation. AIAA J, p 1377, August 1965.Google Scholar
6. Fitzhugh, H. A. Numerical Studies of the Laminar Boundary Layer for Mach Numbers up to 15. Published in JFM, p. 347, April 1965.Google Scholar
7. Sells, C. C. L. Two-dimensional Laminar Compressible Boundary-Layer Programme for a Perfect Gas. RAE TR 66243, August 1966.Google Scholar
8. Clenshaw, C. W. Private Communication, December 1968.Google Scholar