Document Detail


On the dynamics of liquid lenses.
MedLine Citation:
PMID:  16949093     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The spreading of a lens of one liquid on the surface of another liquid is examined. Lubrication theory is used to derive a coupled system of equations for the air-liquid and liquid-liquid interfaces. In the case of highly viscous lenses, extensional stresses are promoted and an additional equation for the lens velocity is derived. The potential singularity at the three-phase line is relieved by a microscopic precursor layer of the spreading fluid assumed to be present ahead of the macroscopic lens. This layer is stabilised via the inclusion of disjoining pressure effects in the lens. The results of our full parametric study show that, for weak gravitational forces, the shape of the lens at equilibrium depends solely on the surface tension ratio for sufficiently deep substrate thicknesses. For thin substrates, the underlying liquid film deforms severely near the point of deposition exhibiting flattening and dimpling.
Authors:
R V Craster; O K Matar
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Publication Detail:
Type:  Journal Article     Date:  2006-08-14
Journal Detail:
Title:  Journal of colloid and interface science     Volume:  303     ISSN:  0021-9797     ISO Abbreviation:  J Colloid Interface Sci     Publication Date:  2006 Nov 
Date Detail:
Created Date:  2006-10-18     Completed Date:  2007-09-28     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0043125     Medline TA:  J Colloid Interface Sci     Country:  United States    
Other Details:
Languages:  eng     Pagination:  503-16     Citation Subset:  -    
Affiliation:
Department of Mathematics, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK.
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