A presentation of cnoidal wave theory for practical application

Author:

Wiegel R. L.

Abstract

Cnoidal wave theory is appropriate to periodic waves progressing in water whose depth is less than about one-tenth the wavelength. The leading results of existing theories are modified and given in a more practical form, and the graphs necessary to their use by engineers are presented. As well as results for the wave celerity and shape, expressions and graphs for the water particle velocity and local acceleration fields are given. A few comparisons between theory and laboratory measurements are included.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference21 articles.

1. Milne-Thompson, L. M. 1950 Jacobian Elliptic Function Tables .New York:Dover.

2. Hayashi, K. 1933 Tafeln für die differenzenrechnung sowie für die hyperbel-besselschen, elliptischen, und anderer funktionen .Berlin:Springer.

3. Korteweg, D. J. & De Vries, G. 1895 On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.Phil. Mag. 5th Series,39,422–43.

4. Spenceley, G. W. & Spenceley, R. M. 1947 Smithsonian Elliptic Functions Tables .Washington, D.C.:Smithsonian Institution.

5. Iwasa, Y. 1955 Analytical considerations on cnoidal and solitary waves. Memoirs of Faculty of Engineering ,Kyoto Univ. (Japan), 17, no. 4.

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