XXV.—Theoretical Determination of the Longitudinal Seiches of Lake Geneva
Open Access
- 1 September 1920
- journal article
- research article
- Published by Cambridge University Press (CUP) in Transactions of the Royal Society of Edinburgh
- Vol. 52 (3) , 629-642
- https://doi.org/10.1017/s008045680000449x
Abstract
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.Keywords
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