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Published online by Cambridge University Press: 20 January 2009
In several previous communications to the Society, I have considered the equations of vortex motion in two dimensions in a compressible fluid. In the present communication I propose to consider certain forms of the hydro-dynamical equations of a more general kind. In certain cases the fluid will be supposed to be rotating, prior to the introduction of the vortex motion, with uniform angular velocity about a fixed axis.
* Proceedings, vol. V., p. 52;Google Scholar vol. VI., p. 59; vol. VII., p. 29.
† Proceedings, vol. VII., p. 29.Google Scholar
* See Proceedings, vol. VII., p. 32.Google Scholar
† Lamb's Motion of Fluids, Note D.
* Vol. II., Art. 470.
† Vol. III., p. 109.
* Proceedings, Vol. III., p. 113.Google Scholar Cf. Basset's, Treatise on Hydrodynamics, Vol. I., Art. 18.Google Scholar
* Treatise on the Motion of Fluids, Art. 129.
* Cf. Basset's Art. 95.
† Second Edition. In the first edition change µ into 1/µ in these equations and in Art. 617.
* Quarterly Journal, Vol. xvi., p. 338,Google Scholar or Basset's, Art. 311, Vol.ii.Google Scholar
† Phil. Trans. 1880, Part ii., p, 455,Google Scholar or Basset's, Art. 52, Vol. i.Google Scholar
* Proceedings, Vol. vi., p. 65.Google Scholar
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