Basic Phenomena and Applications to Thin Films

  • Vladimir S. AjaevEmail author


The concepts of surface tension and thermocapillarity are introduced and incorporated into development of a lubrication-type model for viscous flow in a thin liquid film. A method of numerical solution of the resulting evolution equation for film thickness is introduced. Stokes flow equations and general boundary conditions at interfaces are discussed. The approaches to modeling the effect of London–van der Waals dispersion forces in ultra-thin films are reviewed.


Contact Angle Control Volume Contact Line Capillary Number Slip Length 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsSouthern Methodist UniversityDallasUSA

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