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Digitale Medien

Nonlinear capillary-gravity waves under an edge condition (2000)

Chang, C.C. ; Shen, M.C.

Springer

Journal of engineering mathematics 38 (2000), S. 391-402

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ISSN: 1573-2703

Schlagwort(e): capillary-gravity waves ; edge conditions ; resonance frequency ; eigenmode ; amplitude equations

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Technik allgemein

Notizen: Abstract The objective of this paper is to investigate the forced motion of nonlinear capillary-gravity waves in a waterfilled circular basin by a harmonic vibration applied to its side wall under Evans's or Hocking's edge condition at a contact line. The forcing frequency is near a resonance frequency under the classical edge condition of the basin. Two complex-amplitude equations for the excited eigenmode at the resonance frequency corresponding to these two edge conditions are derived. The solutions to these equations display quite different behavior and an edge condition indeed has a great influence on the excited surface waves.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1004708310966

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