scholarly journals Equations of Nonlinear Waves in Thin Film Flows with Mass Sources and Surface Activity at the Moving Boundary

2020 ◽  
Vol 15 ◽  

The paper deals with the derivation of governing propagation equations of nonlinear waves in thin liquid films applying to two basic cases, namely for the perfect fluid flow with a weak mass source at the bottom and for the thin film of viscid liquid flow with a mass source and surface activity at the free moving boundary. The second case is considered on the example of a condensate film flow under the low heat transfer intensity. The conditions under which the model equation has the left-hand side of a type of the Korteweg-deVries equation with slowly evolved parameters, and perturbed right-hand side have been established for the both cases. The conditions under which the solitary wave solutions are possible have been defined too.

AIP Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 045317
Author(s):  
Ali Mohammadtabar ◽  
Hadi Nazaripoor ◽  
Adham Riad ◽  
Arman Hemmati ◽  
Mohtada Sadrzadeh

1997 ◽  
Vol 119 (1) ◽  
pp. 211-216 ◽  
Author(s):  
Jin Hu ◽  
Hans J. Leutheusser

Micro-inertia effects of surface roughness on hydrodynamic lubrication are analyzed in the light of similitude principles, viz. a newly conceived reduced Reynolds number and the classical parameter of relative roughness. In particular, the dynamic properties of laminar sheet flow in a two-dimensional channel between a sinusoidal wall and a flat wall are studied. FEM solutions of the Navier-Stokes equation are compared with corresponding experimental findings. The latter are gathered in an especially designed laminar-flow wind tunnel. Conclusions are drawn concerning the roughness sensitivity of laminar thin-film flows.


2019 ◽  
Vol 215 ◽  
pp. 12002
Author(s):  
Zhe Wang ◽  
Vincenzo Ferraro ◽  
Biagio Mandracchia ◽  
Ernesto Di Maio ◽  
Pier Luca Maffettone ◽  
...  

The thickness of thin liquid films is of great interest to industrial processes and life science. However, there are not appropriate quantitative experimental tools for an adequate study of film evolution in case of not-ideal conditions. Here, we show the application of a holographic system for the evaluation of the 3D topography and thickness of evolving protein films. We use a custom holographic microscope that combines quantitative phase imaging with materials engineering. This technique offers an unprecedented level of details and we anticipate that it will promote a deeper understanding of the underlying physics of thin film dynamics.


1893 ◽  
Vol 53 (321-325) ◽  
pp. 394-398 ◽  

The paper gives an account of experiments made for the purpose of determining the thickness of black soap films formed of solution of varying composition. Two methods of experiment were employed: (1) an optical method, in which the mean thickness of about 50 plane black films contained in a tube was deduced from observations of interference phenomena; and (2) an electrical method, in which the thickness of a cylindrical black film was derived from a measurement of its electrical resistance. The optical method involves the assumption that the refractive index of a thin film of liquid is the same as that of a large quantity of the same liquid.


2015 ◽  
Vol 778 ◽  
pp. 1-4 ◽  
Author(s):  
J. Bico

The rupture of soap films is traditionally described by a law accounting for a balance between momentum and surface tension forces, derived independently by Taylor and Culick in the 1960s. This law is highly relevant to the dynamics of thin liquid films of jets when viscous effects are negligible. However, the minute amounts of surfactant molecules present in soap films play a major role in interfacial rheology, and may result in complex behaviour. Petit et al. (J. Fluid Mech., vol. 774, 2015, R3) challenge standard thin film dynamics via intriguing experiments conducted with highly elastic surfactants. Unexpected structures reminiscent of faults are observed.


Author(s):  
Hongyi Yu ◽  
Karsten Loffler ◽  
Tatiana Gambaryan-Roisman ◽  
Peter Stephan

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