Interfacial Wave Motions Due to Marangoni Instability

Interfacial Wave Motions Due to Marangoni Instability

“…The experimental setups are described in Refs. (13,14,16). The results of both mass and heat transport processes are very similar.…”

“…In shallow layers theory predicts that solitons survive due to the (local) dynamic balance between nonlinearity and dispersion acting together with dissipation. However, neither in the earlier experiments (9)(10)(11)(12) nor in the recent ones (13,14) was the shallow layer condition really fulfilled. In fact, in Ref.…”

Marangoni-Stress-Driven “Solitonic” (Periodic) Wave Trains Rotating in an Annular Container during Heat Transfer

“…6 the average trajectory of both waves is plotted oscillatory surface motion can be estimated. Figure 8 shows the measured dependence of the surface tension on the temIt is known from theoretical analyses of the oscillatory motions ( 18 ) and of the Bénard cells ( 19 ) that the relation perature of n-octane. The value ds/dT Å 0.088 g/Ks 2 results from this and in an analogous way the value dT/dz Å 70 d / l Å 0.31 is valid for small thicknesses d of the liquid layer.…”

Breath-Figures Self-Assembly, the Versatile Method of Manufacturing Membranes and Porous Structures: Physical, Chemical and Technological Aspects

“…For evaporated films of a thickness above 100 nm thermo-capillarity forces become dominant, resulting in instability caused by the Marangoni convection, either thermo-or soluto-capillary [103][104][105][106][107][108][109][110][111][112][113]. It should be mentioned that the analysis of the thermo-and soluto-capillarity inspired patterning in essentially non-linear one and involves complicated mathematical models [103][104][105][106][107][108].…”

“…It should be mentioned that the analysis of the thermo-and soluto-capillarity inspired patterning in essentially non-linear one and involves complicated mathematical models [103][104][105][106][107][108]. It was demonstrated experimentally that the patterns observed in the evaporated (cooled from above) layers are different from those, formed in the layer heated from below without evaporation [109].…”