On application of lubrication approximations to nonunidirectional coating flows with clean and surfactant interfaces

Physics of Fluids

Volumn 22, Issue 9, 2010, Pages

  Krechetnikov, R ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COATINGS; INTERFACES (MATERIALS); PARTIAL DIFFERENTIAL EQUATIONS; SURFACE ACTIVE AGENTS;

ANALYTICAL APPROACH; CHARACTERISTIC ANALYSIS; CHARACTERISTIC PROPERTIES; LUBRICATION ANALYSIS; LUBRICATION APPROXIMATIONS; LUBRICATION EQUATION; SURFACTANT CONCENTRATIONS; UNIDIRECTIONAL FLOW;

LUBRICATION;

EID: 79251591669     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3484276     Document Type: Article

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32. 1/3 made in the asymptotic studies (Refs. 2528).
33. The latter work may, however, be relevant in a quasisteady approximation, when one considers an initial-value problem, i.e., one starts moving the plate while the interface is uniformly covered with insoluble surfactant at the initial time.