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Note on the velocity distribution in the wake behind a flat plate placed along the stream

Published online by Cambridge University Press:  24 October 2008

L. Rosenhead  and
J. H. Simpson
L. Rosenhead
Affiliation:
St John's College
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Extract

1. The velocity distribution in fluid of small viscosity, or at large Reynolds number, in the laminar boundary layer associated with a thin flat plate along the main direction of flow, has been worked out by Blasius on the basis of the Prandtl theory. These original investigations covered the region from the forward edge of the plate to the downstream edge. In a recent paper Goldstein investigated the velocity distribution in the wake immediately behind the downstream edge over a region within about 0·5l from it, l being the length of the plate. Later

Tollmien obtained a first approximation to the flow at a great distance down-stream. Goldstein § extended Tollmien's solution by finding a second approximation and by joining it up with his previous work on the flow very near the plate.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 32 , Issue 3 , October 1936 , pp. 385 - 391
Copyright
Copyright © Cambridge Philosophical Society 1936

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References

* Zeit. für Math. u. Phys. 56 (1908), 1.Google Scholar

† Proc. Camb. Phil. Soc. 26 (1930), 18Google Scholar. This paper will be subsequently referred to as Paper I.

‡ Handbuch der exp. Phys. 4, pt. 1 (1931), 269.Google Scholar

§ Proc. Roy. Soc. A, 142 (1933), 545.Google Scholar This paper will be subsequently referred to as Paper II.

* Zeitsch. f. angew. Math. u. Mech. 7 (1927), 425.Google Scholar

† Schriften des mathematischen Seminars und des Institute für angewandte Mathematik der Universität Berlin, 1 (1934), 245.Google Scholar