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Low-Reynolds-number translation of a slender cylinder near a plane wall

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Summary

Low-Reynolds-number results are presented for the drag and induced torque on a slender circular cylinder translating near a single plane wall. Four representative situations are investigated, the principal feature of the analysis being that it is valid for all distances from the wall which are large compared with the radius of the cylinder. In particular, the results hold for distances from the wall of the same order of magnitude as the length of the cylinder. The direction and rate of rotation are given for those cases where it occurs.

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Authors and Affiliations

  1. Mathematics Department, Royal Military College, Duntroon, Australia

    N. J. De Mestre

  2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England

    W. B. Russel

Authors
  1. N. J. De Mestre
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  2. W. B. Russel
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Additional information

This paper was written while N. J. de Mestre was a visitor at the Department of Applied Mathematics and Theoretical Physics, University of Cambridge. W. B. Russel was supported by a NATO Postdoctoral Fellowship.

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De Mestre, N.J., Russel, W.B. Low-Reynolds-number translation of a slender cylinder near a plane wall. J Eng Math 9, 81–91 (1975). https://doi.org/10.1007/BF01535390

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  • DOI: https://doi.org/10.1007/BF01535390

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