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Some Examples of the Two-Dimensional Motion of a Liquid
Published online by Cambridge University Press: 03 November 2016
Extract
The present communication forms, in essentials, part of a paper read before the Liverpool Mathematical Society in 1900 by Rev. S. Sircom, S.J., M.A. Formulae for the stream lines in the two-dimensional irrotational motion of a liquid were given in certain particular cases and illustrated graphically by means of a series of remarkable diagrams. These diagrams are unique; it was felt that their reproduction in permanent form was desirable and would at the same time prove of interest to readers of the Mathematical Gazette.
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- Copyright © Mathematical Association 1930
References
page 193 note * The stream function is now usually defined by the relations u = −∂ψ/∂u, u = ∂ψ/∂x.
page 193 note † Ramsey, Treatise on Hydromechanics, ii. p. 48.
page 195 note * Basset, Treatise on Hydrodynamics, i, p. 109.
page 195 note † Prof. A. E. H. Love has remarked that the c-curves in Fig. 2 are the lines of flow of the liquid when the two halves of the lemniscate are on the point of separating along OX and XO.
page 196 note * For motion in a direction inclined at an angle θ to OX it would be necessary to replace c by ceiθ .
page 197 note In Figs. 2, 3, 4 and 5, S is the common cusp of the c- or n-curves on the positive x-axis. H that on the negative x-axis.