Abstract
1. The object of the following note is to consider some problems which arise in the study of the boundary layers formed in various parts of rotating pumps or ventilators. In particular we wish to give attention to the influence of the centrifugal forces upon the flow in such boundary layers 1).
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References
For a general treatment of the theory of boundary layer flow the reader is referred to the chapters on this subject in S. Goldstein, Modern developments in fluid dynamics I, II (Oxford 1938), where an extensive summary is given of the work of a great number of authors.
S. Goldstein, Modern developments in fluid dynamics I, II (Oxford 1938) Vol. I, p. 56 and fig. 22.
It is known that the efficiency of a diffuser (a pipe of increasing cross section, used for obtaining an increase of pressure through a decrease of the velocity) increases when a rotation is set up in the flow entering the diffuser. Compare e.g. H. Peters, Energieumsetzung in Querschnittserweiterungen bei verschiedenen Zulaufsbedingungen, Ingenieur-Archiv 2, p. 92, 1931.
S. Luthander und A. Rydberg, Experimentelle Untersuchung über den Luft-widerstand bei einer um eine mit der Windrichtung parallele Achse rotierenden Kugel, Physik. Zeitschr. 36, p. 552, 1935.
Experiments on the influence of “scraping off” the boundary layer have been carried out by H. P. J. Verbeek, Bepaling van den luchtweerstand van een bol met draaiende wieken, De Ingenieur 48, p. W 157, 1933. The rotating vanes moving over the back side of the sphere used in these experiments were straight, so that they did not exert a forward driving force upon the fluid in the boundary layer. It was found that at those Reynolds numbers, where the flow in the boundary layer still is laminar and separation normally occurs before the equator, a decrease of resistance, pointing to a delay of the separation, could be obtained by scraping off the boundary layer. A satisfactory interpretation of all the results found in these experiments is difficult, however, and perhaps more exact investigations will be necessary.
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Burgers, J.M. (1995). Hydrodynamics. — Some considerations on the development of boundary layers in the case of flows having a rotational component . In: Nieuwstadt, F.T.M., Steketee, J.A. (eds) Selected Papers of J. M. Burgers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0195-0_14
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