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On certain forms of Vibration
Published online by Cambridge University Press: 20 January 2009
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Certain cases of motion in a gas contained in a spherical or in a cylindrical envelope or surrounding a sphere or a cylinder have been considered by Professor Stokes and Lord Rayleigh, of which a clear idea may be obtained from chapters xvii. and xviii. of Rayleigh's Sound. Their chief object is to determine the motion in the gas when the motion in the bounding surface is given, or to determine the modification in the nature of a wave being propagated through the gas by the presence of an obstacle.
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- Copyright © Edinburgh Mathematical Society 1885
References
page 65 note * Equations (8), p. 200.
page 65 note † Cf. Lamè, § 80.
page 66 note * See the Bessel'schen Functionen of Neumann or Lommel.
page 66 note † Lommel, p. 118. Also Lord Rayleigh's Sound, vol. i, p. 278, Eqn. (3).Google Scholar
page 67 note * See Lamb's Motion of Fluids, § 43.
page 67 note † See Lamb's Motion of Fluids, Eqn. (4), p. 20, putting F (t) – 0.
page 68 note * See Lord Rayleigh's Sound, Eqn. (6) of § 244.
page 68 note † Lamb's Motion of Fluids, Eqn. (12) of § 167.
page 74 note * See a paper by the author in the Philosophical Magazine, February 1886, pp. 81, 82.
page 76 note * See a paper by the author in the Messenger of Mathematics, Jane 1885, p. 20.
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