Journal ArticleDOI
Some effects of surface tension on steep water waves. Part 2
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In this paper, the effects of surface tension on steep water waves in deep water were investigated and a Stokes-type expansion method was given which can be applied to most wavelengths.Abstract:
This paper continues an investigation of the effects of surface tension on steep water waves in deep water begun in Hogan (1979a). A Stokes-type expansion method is given which can be applied to most wavelengths. For capillary waves (2 cm or less) it is found that the surface of the highest wave encloses a bubble of air, as was found for pure capillary waves by Crapper (1957). For intermediate waves (20 cm) the wave profiles are similar to those of pure gravity waves and the wave properties increase monotonically. For gravity waves (200 cm) the wave properties all exhibit a maximum just short of the maximum wave height obtained by the method. The integral properties for all the waves are drawn and given in numerical form in the appendix.read more
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Nonlinear gravity and capillary-gravity waves
Frédéric Dias,C. Kharif +1 more
TL;DR: In this article, the bifurcation, stability, and evolution of gravity and capillary-gravity waves are discussed. And the importance of surface tension effects on steep waves is studied.
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Capillary rollers and bores
TL;DR: In this paper, the authors studied the occurrence of parasitic capillaries on the forward face of moderately short gravity waves, especially those with wavelengths 5 to 50 cm; see Figure la.
Journal ArticleDOI
Solitary and Periodic Gravity-Capillary Waves of Finite Amplitude,
TL;DR: In this article, two-dimensional solitary and periodic waves in water of finite depth were considered and it was shown that elevation solitary waves cannot be obtained as the continuous limit of periodic waves as the wavelength tends to infinity.
Journal ArticleDOI
Capillary–gravity and capillary waves generated in a wind wave tank: observations and theories
TL;DR: In this article, Zhang et al. showed that the dip in the spectrum of capillary-gravity waves is a result of blockage of both capillary gravity wind waves and parasitic capillary waves.
Journal ArticleDOI
Strongly nonlinear waves
TL;DR: A review of exact solutions for nonlinear waves and the phenomena revealed by such solutions can be found in this paper, where the governing equation within the fluid is taken to be Laplace's equation, corresponding to irrotational flow of an incompressible fluid.
References
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Journal ArticleDOI
Radiation stresses in water waves; a physical discussion, with applications
TL;DR: The radiation stresses in water waves play an important role in a variety of oceanographic phenomena, for example in the change in mean sea level due to storm waves (wave set-up), the generation of "surf-beats", the interaction of waves with steady currents, and the steepening of short gravity waves on the crests of longer waves as discussed by the authors.
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An exact solution for progressive capillary waves of arbitrary amplitude
TL;DR: In this article, an exact solution for two-dimensional progressive waves of arbitrary amplitude on a fluid of unlimited depth, when only surface tension and not gravity is taken into account as the restoring force, was found in a fairly simple form.
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Computer extension and analytic continuation of stokes expansion for gravity waves
TL;DR: In this paper, Stokes' infinitesimal-wave expansion for steady progressive free-surface waves has been extended to high order using a computer to perform the coefficient arithmetic, which is valid for any finite value of the wavelength and solutions of high accuracy can be obtained for most values of the wave height and water depth.
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The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
TL;DR: In this paper, the authors extended the analysis of the normal-mode perturbation of steep irrotational gravity waves to subharmonic perturbations, namely those having horizontal scales greater than the basic wavelength (2π/k).
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Integral properties of periodic gravity waves of finite amplitude
TL;DR: In this paper, a number of exact relations for periodic water waves of finite amplitude in water of uniform depth were proved and the mean fluxes of mass, momentum and energy were shown to be equal to 2T(4T-3F) and (3T-2V) crespectively, where T and V denote the kinetic and potential energies and c is the phase velocity.