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The Magnus or Robins effect on rotating spheres

  • H. M. Barkla (a1) and L. J. Auchterlonie (a1) (a2)
Abstract

Robins showed in 1742 that a transverse aerodynamic force on a rotating sphere could be detected by suspending it as a pendulum. Differences of periodic time in conical pendulum motion with spin and orbit parallel and opposed have been found to give a reasonably accurate measure of the lift coefficient, and the results shown extend knowledge of the effect down to a Reynolds number of 2 × 103 and up to a ratio of 12 between the peripheral and translational velocities.

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References
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Davies, J. M. 1949 The aerodynamics of golf balls J. Appl. Phys. 20, 821.
Euler, L. 1777 The True Principles of Gunnery (a translation by H. Brown of two papers by Euler).
Maccoll, J. W. 1928 J. Roy. Aeron. Soc. 32, 777.
Magnus, G. 1853 Ueber die Abweichung der Geschosse, und eine auffallende Erscheinung bei rotirenden Körpern Poggendorfs Annalen der Physik und Chemie, 88, 1.
Newton, I. 1671/2 Phil. Trans. Roy. Soc. 7, 3078.
Newton, I. 1687 Philosophiae Naturalis Principia Mathematica, lib. 2, prop. 33.
Rayleigh, Lord. 1877 Messenger of Mathematics, 7, 14.
Robins, B. 1805 New Principles of Gunnery, ed. Hutton (first printed in 1742).
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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