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On the rotationally symmetric laminar flow of Newtonian fluids induced by rotating disks

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Physics of Rotating Fluids

Part of the book series: Lecture Notes in Physics ((LNP,volume 549))

Abstract

This paper deals with the flow induced by rotating disks. Such flows are subject of a large number of contributions in the twentieth century. Most of them are based on the famous von Kármán transform. In the last three decades the applicability of this transform has been proved in sophisticated experimental and theoretical investigations. The present paper focuses on theoretical investigations treating a pair of disks rotating concentrically. In addition to classical solutions given by Batchelor and Stewartson, the problem of solutions being multiple, unstable and even aphysical is briefly addressed. Furthermore, some approaches dealing with moderate Reynolds-numbers are presented for which the equations of motion are linearized starting from a known creeping flow solution. A comparison of the results with those obtained from the solution of the complete Navier-Stokes equation is carried out.

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Author information

Authors and Affiliations

  1. Technische Universität München, Weihenstephaner Steig 23, D-85350, Freising, Germany

    Antonio Delgado

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  1. Antonio Delgado
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Editors and Affiliations

  1. Lehrstuhl Aerodynamik und Strömungslehre Fakultät Maschinenbau, Elektrotechnik und Wirtschaftsingenieurwesen, Brandenburgisch Technische Universität Cottbus, 03013, Cottbus

    Christoph Egbers

  2. Institut für Experimentelle und Angewandte Physik, Universiät Kiel, Olshausenstrasse 40, 24098, Kiel, Germany

    Gerd Pfister

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© 2000 Springer-Verlag Berlin Heidelberg

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Delgado, A. (2000). On the rotationally symmetric laminar flow of Newtonian fluids induced by rotating disks. In: Egbers, C., Pfister, G. (eds) Physics of Rotating Fluids. Lecture Notes in Physics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45549-3_23

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  • DOI: https://doi.org/10.1007/3-540-45549-3_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67514-3

  • Online ISBN: 978-3-540-45549-3

  • eBook Packages: Springer Book Archive

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