Waves in a heated liquid layer covered by insoluble surfactant (INVITED)

Abstract eng:
It is known that there are two types of wavy motions in a liquid layer covered by surfactant: (i) transverse capillary-gravity waves; (ii) longitudinal waves caused by the surfactant advection and tangential stresses generated by the inhomogeneity of the surfactant concentration. We derive and investigate, analytically and numerically, the general dispersion relation, which describes both wavy modes. We study the parametric excitation of both kinds of waves by heat flux modulation or vibration (i) in the case where there is no instability in the absence of parameter modulation; (ii) in the case of a pre-existing oscillatory instability. The nonlinear development of instability modes is analysed in the framework of the longwave asymptotic approach.

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