1997
DOI: 10.1006/jcis.1997.4719
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Hydrodynamic Theory for Spontaneously Growing Dimple in Emulsion Films with Surfactant Mass Transfer

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Cited by 35 publications
(23 citation statements)
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“…In the former case the Poiseuille contribution to film drainage, represented by the second term on the right-hand side of [22], becomes negligible and drainage is governed by the interface velocity u * u , which in turn is limited by viscous stresses exerted by the drop phase. This situation of "partial interfacial mobility" is an important one since it constitutes a good approximation in many practical systems (14,16).…”
Section: Governing Equationsmentioning
confidence: 99%
See 1 more Smart Citation
“…In the former case the Poiseuille contribution to film drainage, represented by the second term on the right-hand side of [22], becomes negligible and drainage is governed by the interface velocity u * u , which in turn is limited by viscous stresses exerted by the drop phase. This situation of "partial interfacial mobility" is an important one since it constitutes a good approximation in many practical systems (14,16).…”
Section: Governing Equationsmentioning
confidence: 99%
“…The solution scheme for the mathematical model [22][23][24][25][26][27][28][29][30][31][32][33][34] is the same as that used in (16 . A more detailed discussion of the satisfaction of the prescribed force boundary condition can be found at the end of this section.…”
Section: Numerical Schemementioning
confidence: 99%
“…In that case, the initial distribution of the surfactant between the two phases is a nonequilibrium distribution (10,11). Surfactant initially dissolved in the continuous phase was investigated by Hartland (12), Velev et al (13), and Danov et al (14). They clarified that the Marangoni effect connected with interfacial tension gradients is crucial for conferring emulsion stability.…”
Section: Introductionmentioning
confidence: 97%
“…Under the action of capillary and disjoining forces the dimple shrinks till the film reaches flat shape at equilibrium. Sometimes, however, under nonequilibrium conditions the dimples can grow driven by external flows [29]. In the frames of the lubrication approximation the evolution of the local thickness H of an axisymmetric wetting film is governed by the following equation [23,30] …”
mentioning
confidence: 99%
“…Due to complexity of this equation it could be solved only numerically [29]. Hereafter we present an approximate procedure for description of the dimple relaxation which elucidates the physical aspects and is more transparent.…”
mentioning
confidence: 99%