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XXV.—Theoretical Determination of the Longitudinal Seiches of Lake Geneva

Published online by Cambridge University Press:  06 July 2012

A. T. Doodson ,
R. M. Carey  and
R. Baldwin
A. T. Doodson
Affiliation:
Tidal Institute, University of Liverpool.
R. M. Carey
Affiliation:
Tidal Institute, University of Liverpool.
R. Baldwin
Affiliation:
Tidal Institute, University of Liverpool.
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Extract

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.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 52 , Issue 3 , September 1920 , pp. 629 - 642
Copyright
Copyright © Royal Society of Edinburgh 1920

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References

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.