Thin Films with High Surface Tension

1998/01/01 by T. G. Myers, T.G. Myers · 5 citations
Engineering · Chemical Engineering · #Fluid Dynamics and Thin Films #Rheology and Fluid Dynamics Studies #Adhesion, Friction, and Surface Interactions

paper · doi:10.1137/s003614459529284x

Abstract

Abstract. This paper is a review of work on thin fluid films where surface tension is a driving mechanism. Its aim is to highlight the substantial amount of literature dealing with relevant physical models and also analytic work on the resultant equations. In general the introduction of surface tension into standard lubrication theory leads to a fourth-order nonlinear parabolic equation ∂h ∂t

Citations

• The Motion with Slip of a Thin Viscous Droplet over a Solid Surface

Cited by

• Dynamics and stability of thin liquid films
• Improved equilibration rates to self-similarity for strong solutions of a thin-film and related evolution equations
• Self-similar rupture of thin films of power-law fluid
• Approximate solutions to the shrinking core model and their interpretation
• Steady states and dynamics of a thin film-type equation with non-conserved mass

Related

• On the thin-film equation with nonlinear surface tension term
• Some thin film models based on Shikhmurzaev's approach
• Capillary levelling of thin liquid films of power-law rheology
• An Accurate Lubrication Model of Contaminated Coating Flows
• Planar hydraulic jumps in thin films: a regular solution against\n experiments