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Analytical surface singularity distributions for flow about cylindrical bodies

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Abstract

In this paper exact analytical values of surface singularity distributions for two-dimensional potential flows are presented. A general formulation which provides an alternative to the Milne-Thomson theorem is presented for the circle, then distributions are obtained for flow about an ellipse. These solutions provide useful bench-mark test cases for examining the convergence properties in the development of some panel-method computer codes.

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Authors and Affiliations

  1. Department of Engineering, University of Manchester, M13 9PL, Manchester, England

    P. G. Bellamy-Knights, M. G. Benson & J. H. Gerrard

  2. Department of Mathematics, Southern Methodist University, 75275, Dallas, Texas, USA

    I. Gladwell

Authors
  1. P. G. Bellamy-Knights
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  2. M. G. Benson
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  3. J. H. Gerrard
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  4. I. Gladwell
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Bellamy-Knights, P.G., Benson, M.G., Gerrard, J.H. et al. Analytical surface singularity distributions for flow about cylindrical bodies. J Eng Math 23, 261–271 (1989). https://doi.org/10.1007/BF02383573

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  • DOI: https://doi.org/10.1007/BF02383573

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