Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-21T13:13:34.029Z Has data issue: false hasContentIssue false
  • English
  • Français

Approximate Calculation of the Laminar Boundary Layer

Published online by Cambridge University Press:  07 June 2016

B. Thwaites
B. Thwaites*
Affiliation:
Aeronautics Department, Imperial College, London
Get access

Extract

The steady two-dimensional flow of viscous incompressible fluid in the boundary layer along a solid boundary, which is governed by Prandtl's approximation to the full equations of motion, presents a problem which in general is as intractable as any in applied mathematics. The problem, however, has such an immediate and necessary application that approximate methods of varying accuracy which go beyond the formal processes of expansions in series and so on, have been devised for the rapid calculation of the principal characteristics of the laminar boundary-layer, the variation of pressure along the surface being known. Such methods usually represent approximately the boundary-layer velocity distribution at any point by one of a known family of distributions whose spacing along the surface is determined by some means, often by the use of Kármán's momentum equation.

Type
Research Article
Information
Aeronautical Quarterly , Volume 1 , Issue 3 , 01 November 1949 , pp. 245 - 280
Copyright
Copyright © Royal Aeronautical Society. 1949

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. Pohlhausen, K. (1921). Zeitschrift. f. angew. Math, und Mech. 1., 257–261. 1921.Google Scholar
2. Howarth, L. (1938). Proceedings of the Royal Society A, 164, 547–578, 1938.Google Scholar
3. Falkner, V. M., and Skan, S. W. (1933). A.R.C. 1314, 1933.Google Scholar
4. Falkner, V. M. (1941). Simplified Calculation of the Laminar Boundary Layer. R.& M. 1895, 1941.Google Scholar
5. Young, A. D., and Winterbottom, N. E. (1940).Note on the Effect of Compressibility on the Profile Drag of Aerofoils in the Absence of Shock Waves. A.R.C. 4667, 1940.Google Scholar
6. Thwaites, B. (1946). On the Flow Past a Flat Plate with Uniform Suction. A.R.C. 9391, 1946.Google Scholar
7. Hartree, D. R. (1937). Proc. Camb. Phil. Soc. 33, 223–239, 1947.Google Scholar
8. Hartree, D. R. (1939). A Solution of the Boundary Layer Equation for Schubauer's Observed Pressure Distribution for an Elliptic Cylinder. A.R.C. 3966, 1939.Google Scholar
9. Thwaites, B. (1946). An Exact Solution of the Boundary Layer Equations under Particular Conditions of Porous Suction. R. & M. 2241, 1946.Google Scholar
10. Schlichting, H., and Bussmann, K. (1943). Exakte Lösungen für die laminare Grenzschicht mit Absaugung und Ausblasen. Schr. der deut. Akad. der Luft. 7th May 1943.Google Scholar
11. Watson, E. J. (1947). The Asymptotic Theory of Boundary Layer Flow with Suction. Part II: Flow with Uniform Suction. A.R.C. 10317, 1947.Google Scholar
12. Iglisch, R. (1944). Exakte Berechnung der laminaren Grenzschicht an der längsangeströmten ebenem Platte mit homogener Absaugung. Schr. der deut. Akad. der Luft. 26th Ian. 1944.Google Scholar
13. Thwaites, B. (1946). On Certain Types of Flow with Continuous Suction. R.& M. 2243, 1946.Google Scholar
14. Thwaites, B. (1947). On the Use of the Momentum Equation in Boundary Layer Flow. Part I: A New Method of Combining Velocity Profiles. A.R.C. 11155, 1947.Google Scholar
15. Tetervin, N. (1945). A Method for the Rapid Estimation of Turbulent Boundary Layer Thicknesses for Calculating Profile Drag. A.R.C. 8498, 1945.Google Scholar
16. Watson, E. J. (1946). The Asymptotic Theory of Boundary Layer Flow with Suction. Part I: The Theory of Similar Profiles. A.R.C. 10025, 1946.Google Scholar