Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-06-07T17:48:08.671Z Has data issue: false hasContentIssue false

Approximate Methods of Solving the Laminar Boundary-Layer Equations

Published online by Cambridge University Press:  07 June 2016

R. M. Terrill*
Affiliation:
Department of Applied Mathematics, University of Liverpool
Get access

Summary

Curie and Skan have modified the approximate methods of Thwaites and Stratford to predict separation properties of laminar boundary layers for flow over an impermeable surface. The work of Curie and Skan has been extended by Curle to include the estimation of laminar skin friction for the whole flow. The purpose of the following note is to compare the approximate methods of Curie and Skan and Curle with the numerical results given by the author for flow past a circular cylinder. It is found that there is remarkable agreement between these approximate methods and the exact numerical solutions. This indicates that these methods can be used widely, both on account of their simplicity and their accuracy.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1962

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. and Skan, S. W. Approximate Methods for Predicting Separation Properties of Laminar Boundary Layers. Aeronautical Quarterly, Vol. VIII, p. 257, August 1957.CrossRefGoogle Scholar
2. Thwaites, B. Approximate Calculation of the Laminar Boundary Layer. Aeronautical Quarterly, Vol. I, p. 245, November 1949.Google Scholar
3. Stratford, B. S. Flow in the Laminar Boundary Layer near Separation. R. & M. 3002, November 1954.Google Scholar
4. Curle, N. The Estimation of Laminar Skin Friction, including the Effects of Distributed Suction. Aeronautical Quarterly, Vol. XI, p. 1, February 1960.CrossRefGoogle Scholar
5. Terrill, R. M. Laminar Boundary Layer Flow near Separation with and without Suction. Philosophical Transactions, Royal Society, A, Vol. 253, p. 55, September 1960.Google Scholar
6. Görtler, H. A New Series for the Calculation of Steady Laminar Boundary Layer Flows. Freiburg University Mathematics Institute Report, September 1955.Google Scholar