Some further Results in the Mathematical Theory of Seiches

Author:

Chrystal

Abstract

§ 1. In the practical calculation of the periods and nodes of the lakes we have hitherto examined it has been found that the use of the Seiche Functions gives the best results. Indeed, as will appear from details presently to be submitted to the Society by Mr E. M. Wedderburn and myself, the agreement between theory and observation, so far as we have gone, is beyond what might reasonably have been expected. Also the phenomena of concave lakes, i.e. such as have no shallows or points of minimum depth, are easily deducible from the formulæ given in an abstract (Proc. R.S.E., vol. xxv. p. 328, 6th Oct. 1904) which I communicated to the Society on 18th July 1904. On the other hand, the theory of convex lakes is less easy of manipulation, chiefly owing to the difficulty in calculating the roots of the equations

Publisher

Cambridge University Press (CUP)

Subject

General Medicine,General Chemistry

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Class of Chrystal-Type Equations;Physics of Lakes;2011

2. Determination of Seiche Periods Using the Rayleigh-Schrödinger Technique;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;1990

3. A re-examination of the seiche periods of Lake Vättern;Tellus A: Dynamic Meteorology and Oceanography;1990-01

4. A chrystal-model describing gravitational barotropic motion in elongated lakes;Archives for Meteorology, Geophysics, and Bioclimatology Series A;1982-12

5. An extended channel model for the prediction of motion in elongated homogeneous lakes. Part 2. First-order model applied to ideal geometry: rectangular basins with flat bottom;Journal of Fluid Mechanics;1982-08

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