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- W2043721011 abstract "We study theoretically the capillary-gravity waves created at the water-air interface by an external surface pressure distribution symmetrical about a point and moving at constant velocity along a linear trajectory. Within the framework of linear wave theory and assuming the fluid to be inviscid, we calculate the wave resistance experienced by the perturbation as a function of its size (compared to the capillary length). In particular, we analyze how the amplitude of the jump occurring at the minimum phase speed $c_{{rm min}}=(4 g gamma /rho)^{1/4}$ depends on the size of the pressure distribution ($rho$ is the liquid density, $gamma$ is the water-air surface tension, and $g$ is the acceleration due to gravity). We also show how for pressure distributions broader than a few capillary lengths, the result obtained by Havelock for the wave resistance in the particular case of pure gravity waves (i.e., $gamma = 0$) is progressively recovered." @default.
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- W2043721011 date "2011-10-14" @default.
- W2043721011 modified "2023-09-30" @default.
- W2043721011 title "Wave resistance for capillary gravity waves: Finite-size effects" @default.
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- W2043721011 doi "https://doi.org/10.1209/0295-5075/96/34003" @default.
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