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On a Simple Method for Calculating LaminarBoundary Layers

Published online by Cambridge University Press:  07 June 2016

K. E. G. Wieghardt
K. E. G. Wieghardt*
Affiliation:
Formerly Admiralty Research Laboratory, Teddington, now atHamburg University
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Summary

A simple one parametric method, due to A. Walz and based on the momentum and energy equations, for calculating approximately laminar boundary layers is extended to cover axi-symmetric flow as well as plane flow. The necessary computing work is reduced a little.

Another known method which requires still less computing work is also extended for axi-symmetric flow and, with the amendment of a numerical constant, proves adequate for practical purposes.

Type
Research Article
Information
Aeronautical Quarterly , Volume 5 , Issue 1 , May 1954 , pp. 25 - 38
Copyright
Copyright © Royal Aeronautical Society. 1954

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References

1. Wieghardt, K. (1948). On an Energy Equation for the Calculation of Laminar Boundary Layers. Ing.-Arch. 16 (1948), p. 231.CrossRefGoogle Scholar
2. Walz, A. (1948). Application of the Energy Equation by K. Wieghardt on One-parametric Velocity Profiles in Laminar Boundary Layers. Ing.-Arch. 16 (1948), p. 243.Google Scholar
3. Mangler, W. (1948). Relations between the Plane Boundary Layer and the One with Rotational Symmetry in Compressible Fluids. Z. angew. Math. Mech. 28 (1948), p. 97.Google Scholar
4. Hartree, D. R. (1937). On an Equation Occurring in Falkner and Skan's Approximate Treatment of the Equations of the Boundary Layer. Proc. Cambridge Phil. Soc. 33 (1937), p. 223.Google Scholar
5. Howarth, L. (1938). On the Solution of the Laminar Boundary Equations. Proc. Roy. Soc. A 164 (1938), p. 547.Google Scholar
6. Von Kármán, Th. and Millikan, C. B. (1934). On the Theory of Laminar Boundary Layers Involving Separation. N.A.C.A. Report 504 (1934).Google Scholar
7. Walz, A. (1943). Approximate Methods for the Computation of Laminar and Turbulent Boundary Layers. Deutsche Luftfahrtforschung U.M. 3060 (1943).Google Scholar
8. Görtler, H. (1943). A Method of Differences for the Computation of Laminar Boundary Layers. Deutsche Luftfahrtforschung 1943 or Ing.-Arch. 16 (1948), p. 173.Google Scholar
9. Meksyn, D. (1950) Integration of the Laminar Boundary Equation. II. Retarded Flow Along a Semi-infinite Plane. Proc. Roy. Soc. A 201 (1950), p. 279.Google Scholar
10. Schlichting, H. and Ulrich, A. (1942). On the Calculation of the Transition Laminar Turbulent. Jahrbuch der deutschen Luftfahrtforschung 1942.Google Scholar
11. Pohlhausen, K. (1921). On the Approximate Integration of the Differential Equation of the Laminar Layer. Z. angew. Math. Mech. 1 (1921), p. 252.Google Scholar
12. Vandrey, F. A Direct Iteration Method for the Calculation of the Velocity Distribution of Bodies of Revolution and Symmetrical Profiles. (A.R.L. Report, not yet published.)Google Scholar
13. Pretsch, J. (1941, 1942). The Stability of a Two Dimensional Laminar Flow in Pressure Drop and Pressure Rise. Jahrbuch der deutschen Luftfahrtforschung 1941, 1942.Google Scholar
14. Holstein, H. and Bohlen, T. (1940). A Simple Method for Calculating Laminar Boundary Layers which Satisfy the Approximation made by K. Pohlhausen. Lilienthal-Bericht 510 (1940), p. 5.Google Scholar
15. Walz, A. (1941). A New Assumption for the Velocity Profile of the Laminar Boundary Layer. Lilienthal-Bericht 141 (1941), p. 8.Google Scholar
16. Young, A. D. and Winterbottom, N. E. (1940). Note on the Effect of Compressibility on the Profile Drag of Aerofoils at Subsonic Mach Numbers in the absence of Shock Waves. R.A.E. Report No. B.A. 1595 (1940), or R. & M. No. 2400 (1950).Google Scholar
17. Thwaites, B. (1949). Approximate Calculation of the Laminar Boundary Layer. Aeronautical Quarterly I (1949), p. 245.Google Scholar