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LDV—measurements on wide gap instabilities in spherical Couette flow

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Developments in Laser Techniques and Applications to Fluid Mechanics

Abstract

A new type of instability during the laminar-turbulent transition of a viscous incompressible fluid flow in the gap between two concentric spheres, where only the inner sphere rotates (spherical Couette flow), was detected. In case of two relatively wide gap widths (β = 0.33 and β = 0.5) it was found that the well-known Taylor-instability does not exist. At the stability threshold, where the laminar basic flow loses its stability, the first instability manifests itself as a break of the spatial symmetry and non-axisymmetric secondary waves with spiral arms appear. They spread from the pole to the equator. With increasing the Reynolds number above the critical one, the number of secondary waves with spiral arms decreases. Flow visualization studies and simultaneously laser-Doppler-velocimeter measurements show that the transition of the secondary wave flow with spiral arms is periodic and quasi-periodic before small scale turbulent structures occur.

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Authors and Affiliations

  1. Center of Applied Space Technology and Microgravity (ZARM), University of Bremen, 28359, Bremen, Germany

    Christoph Egbers & Hans J. Rath

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  1. Christoph Egbers
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  2. Hans J. Rath
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Editor information

Editors and Affiliations

  1. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana — Champaign, Urbana, Illinois, USA

    R. J. Adrian

  2. Department of Mechanical Engineering, Instituto Superior Técnico, Av. Rovisco Pais, 1096, Lisboa Codex, Portugal

    D. F. G. Durão  & M. V. Heitor  & 

  3. Lehrstuhl für Strömungsmechanik, University of Erlangen-Nürnberg, Egerlandstraße 13, D-91058, Erlangen, Germany

    F. Durst

  4. Department of Mechanical Engineering, Keio University, 1-14-1 Hiyoshi, Kohuku Yokohama 223, Japan

    M. Maeda

  5. Department of Mechanical Engineering, Imperial College of Science, Technology and Medicine, Exhibition Road, SW7 2BX, London, England

    J. H. Whitelaw

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© 1996 Springer-Verlag Berlin Heidelberg

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Egbers, C., Rath, H.J. (1996). LDV—measurements on wide gap instabilities in spherical Couette flow. In: Adrian, R.J., Durão, D.F.G., Durst, F., Heitor, M.V., Maeda, M., Whitelaw, J.H. (eds) Developments in Laser Techniques and Applications to Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79965-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-79965-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79967-9

  • Online ISBN: 978-3-642-79965-5

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