000014604 001__ 14604
000014604 005__ 20161115100156.0
000014604 04107 $$aeng
000014604 046__ $$k2016-08-21
000014604 100__ $$aNepomnyashchy, Alexander
000014604 24500 $$aWaves in a heated liquid layer covered by insoluble surfactant (INVITED)

000014604 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014604 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014604 506__ $$arestricted
000014604 520__ $$2eng$$aIt 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.

000014604 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014604 653__ $$a

000014604 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014604 720__ $$aNepomnyashchy, Alexander
000014604 8560_ $$ffischerc@itam.cas.cz
000014604 8564_ $$s64910$$uhttps://invenio.itam.cas.cz/record/14604/files/TS.FM08-2.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1042, code TS.FM08-2.02
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000014604 962__ $$r13812
000014604 980__ $$aPAPER