Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A note on the potential flow past a lemniscate and a general method of Milne-Thomson

Authors: J. W. Miles and G. E. Backus
Journal: Quart. Appl. Math. 26 (1968), 441-442
DOI: https://doi.org/10.1090/qam/99844
MathSciNet review: QAM99844
Full-text PDF Free Access

Abstract | References | Additional Information

Abstract: Basset's (1885) solution for potential flow past a lemniscate is (a) disproved and (b) reproduced by a naive application of ``a general method'' of Milne-Thomson. The correct solution is also given. The result is of interest for Rayleigh scattering, as well as for potential theory.

References [Enhancements On Off] (What's this?)

  • [1] A. Basset, On the motion of a liquid in and about certain quartic and other cylinders, Quart. J. Pure Appl. Math. 20, 234-250 (1885)
  • [2] A. Basset, A treatise on hydrodynamics, Vol. 1, Dover, New York, 1961 (reprint of 1888 edition) MR 0134559
  • [3] P. Moon and D. Spencer, Field theory handbook, Springer-Verlag, Berlin, 1961, Fig. 2.07 MR 947546
  • [4] H. Lamb, Hydrodynamics, Cambridge University press, 1932, §72a MR 1317348
  • [5] Lord Rayleigh, On the incidence of aerial and electric waves on small obstacles. . ., Phil. Mag. 44, 28-52 (1897); Scientific papers, vol. 4, pp. 305-326
  • [6] L. M. Milne-Thomson, Theoretical hydrodynamics, Macmillan, New York, 1960 Sec. 6.35 MR 0112435

Additional Information

DOI: https://doi.org/10.1090/qam/99844
Article copyright: © Copyright 1968 American Mathematical Society

American Mathematical Society