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Offset rotating plates in a uniformly rotating fluid

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An Erratum to this article was published on 28 August 2015

Abstract

The flow identified by Berker (Encyclopedia of Physics, Springer, Berlin, 1963) on the motion induced between two parallel infinite plates rotating at angular velocity Ω with offset centers of rotation was solved by Abbot and Walters (J Fluid Mech 40:205–213, 1970). Here, we consider the same problem in a fluid uniformly rotating at angular velocity ω. The flow is then governed by a Reynolds number R and σ = ω/Ω which represents the ratio of Coriolis to inertial forces. As in the original problem, the loci of centers of rotation projected onto the mid-plane form logarithmic spirals. Sample similarity profiles at fixed R and σ are given in graphical form. Features of the logarithmic spirals in both the inertial and rotating frames of reference are also presented in graphical form.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Colorado, Boulder, CO, 80309-0427, USA

    Patrick Weidman

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  1. Patrick Weidman
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Correspondence to Patrick Weidman.

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Weidman, P. Offset rotating plates in a uniformly rotating fluid. Acta Mech 226, 1123–1131 (2015). https://doi.org/10.1007/s00707-014-1239-5

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  • DOI: https://doi.org/10.1007/s00707-014-1239-5

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