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On Faraday waves

1993
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Journal of Fluid Mechanics
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Hecei\'cd 3~Iarch t9n2 llnd in rc\-ised form 21 September 1992) 671 \ I The standing waves of frequency wand wavenumber k that are induced on the surface of a liquid of depth d that is subjected to the vertical displacement a, cos 2wt are determined on the assumptions t1mt: the effects of lateral boundaries are negligible: £ = ka, tanh kd~1 and 0 < £-0 = 0(0'), where 0 is the linear damping ratio of a free wave of frequency w; the ""wes form a square pattern (which follows from observation).

doi:10.1017/s0022112093000965
fatcat:yxbwxsmpbfho7abj72rth37zym