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A fixed sphere on the axis of an unbounded rotating fluid (R≫1)

Eine feststehende Kugel auf der Achse einer unbegrenzten rotierenden Flüssigkeit (R≫1)

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Summary

Using the model suggested byStewartson (1957) in which for largeR the effect of the sphere is assumed to be local, an attempt is made in Part I of this paper to find higher order terms. The analysis suggests that this model is not the correct one and that a flow of the Taylor column type is present. Experimental evidence is presented in Part II which confirms the existence of this latter phenomenon.

Zusammenfassung

Unter Benutzung des 1957 vonStewartson vorgeschlagenen Modells, bei welchem angenommen wird, daß der Einfluß der Kugel für großeR lokal begrenzt bleibt, wird im Teil I dieser Arbeit der Versuch gemacht, Glieder höherer Ordnung aufzufinden. Die Analyse deutet jedoch darauf hin, daß dieses Modell nicht zutreffend ist und daß eine Strömung vom Taylorschen Säulentyp vorhanden ist. Experimentelle Ergebnisse, die im Teil II angegeben werden, bestätigen die Existenz der zuletzt erwähnten Erscheinung.

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Authors and Affiliations

  1. School of Mathematics, University of Bristol, University Walk, BS8 1TW, Bristol, England

    W. H. H. Banks

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  1. W. H. H. Banks
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Banks, W.H.H. A fixed sphere on the axis of an unbounded rotating fluid (R≫1). Acta Mechanica 11, 27–44 (1971). https://doi.org/10.1007/BF01368116

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  • DOI: https://doi.org/10.1007/BF01368116

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