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Volume 111 - October 1981

Contents

Page 2 of 2

Research Article

  • A semi-analytic approach to the self-induced motion of vortex sheets

  • Leonard W. Schwartz
  • Published online by Cambridge University Press:
    20 April 2006, pp. 475-490

  • The rolling-up of the trailing vortex sheet produced by a wing of finite span is calculated as a series expansion in time. For a vorticity distribution corresponding to a wing with cusped tips, the shape of the sheet is found by summing the series using Padé approximants. The sheet remains analytic for some time but ultimately develops an exponential spiral at the tips. The centroid of vorticity is conserved to high accuracy.

  • A note on particle trajectories in the highest wave

  • M. A. Srokosz
  • Published online by Cambridge University Press:
    20 April 2006, pp. 491-495

  • The series expansion procedure of Michel (1893) is used to calculate the highest wave solution and corresponding particle trajectories. The results are compared with those obtained by Longuet-Higgins (1979) using the ‘hexagon’ approximation for the highest deep-water wave. Reasonable agreement is found between the two sets of results.

REVIEWS

SHORTER NOTICES

CORRIGENDUM

Other

Page 2 of 2