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Published online by Cambridge University Press: 06 July 2012
The theoretical determination of the longitudinal seiches of a lake was reduced by Professor Chrystal to the finding of those solutions of the differential equation
which vanish at x = 0 and x = a.
Here x denotes the area of the surface of the lake from one end up to any transverse section, and ranges from 0 to a, a being the total area of the surface of the lake; p(x) denotes the product of the area of the transverse section at x and its breadth at the free surface; λ=σ2/g, σ being the “speed” of the periodic motion and g the acceleration due to gravity; V denotes the total volume of water which has passed the section up to the time t.
page 629 note * “Hydrodynamical Theory of Seiches”, Tram. Ray. Soc. Edin., vol. xli, p. 599.
page 629 note † “Calculation of the Periods and Nodes of Lochs Earn and Treig”, ibid., p. 823.
page 629 note ‡ “Free and Forced Longitudinal Tidal Motion in a Lake”, Proc. Lond. Math. Soc., series 2, vol. xiv, p. 240.
