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Fluctuating flow induced by periodic suction through a rotating disk

Die durch periodisches Saugen durch eine rotierende Scheibe erzeugte schwankende Strömung

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Summary

This paper is concerned with the time-harmonic and time-mean flow induced by a normal periodic suction through a disk rotating in contact with an incompressible viscous fluid. Two separate analytical-numerical solutions are developed for the extreme cases of low and high frequency oscillations, employing the Fettis-Benton method. General formulae for the skin-friction components and the far-field suction velocity are obtained. The deduced quasi-steady results are in agreement with the available numerical results.

Zusammenfassung

Die vorliegende Arbeit behandelt die zeitlich harmonische und die zeitlich gemittelte Strömung, verursacht durch eine periodische Saugwirkung normal durch eine Scheibe, die in einer inkompressiblen zähen Flüssigkeit rotiert. Zwei getrennte analytisch-numerische Lösungen werden mit Hilfe der Fettis-Benton-Methode für die beiden Sonderfälle niedriger bzw. hoher Oszillationsfrequenz hergeleitet. Allgemeine Beziehungen ergeben sich für die Komponenten der Oberflächenreibungskraft und die Sauggeschwindigkeit. Die Ergebnisse für den stationären Fall sind in Übereinstimmung mit numerisch gewonnenen Resultaten.

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Authors and Affiliations

  1. Institut für Angewandte Geophysik, Technische Hochschule Darmstadt, Alexanderstraße 35, D-6100, Darmstadt, Federal Republic of Germany

    S. S. Chawla

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  1. S. S. Chawla
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On leave from Indian Institute of Technology Kharagpur India

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Chawla, S.S. Fluctuating flow induced by periodic suction through a rotating disk. Acta Mechanica 25, 207–219 (1977). https://doi.org/10.1007/BF01376992

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  • DOI: https://doi.org/10.1007/BF01376992

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