Theoretical and numerical results for spin coating of viscous liquids

DOI10.1063/1.1637353zbMath1186.76466OpenAlexW2071766879MaRDI QIDQ3554270

Leonard W. Schwartz, R. Valéry Roy

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1637353

zbMATH Keywords

wettingviscositycapillarityflow simulationcontact anglelubricationspin coatingliquid filmscoriolis forceliquid theory

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (13)

Gravity-driven coatings on curved substrates: a differential geometry approach ⋮ Numerical studies of the fingering phenomena for the thin film equation ⋮ Travelling wave solutions for a thin-film equation related to the spin-coating process ⋮ Fourth order diffusion equations with increasing entropy ⋮ Extended asymptotic solutions to the spin-coating model with small evaporation ⋮ Contact-line instability of liquids spreading on top of rotating substrates ⋮ Thermal effects on film development during spin coating ⋮ New analytical solutions for static two-dimensional droplets under the effects of long- and short-range molecular forces ⋮ Spin-coating of vertically stratified thin liquid films ⋮ Fingering instability on curved substrates: optimal initial film and substrate perturbations ⋮ Thermocapillary migration of droplets under molecular and gravitational forces ⋮ Surfactant-induced fingering phenomena in thin film flow down an inclined plane ⋮ A faster optimal solver for thin film flows

Cites Work

• Investigation of the effect of the Coriolis force on a thin fluid film on a rotating disk
• The effect of the Coriolis force on axisymmetric rotating thin film flows
• Viscous flows down an inclined plane: Instability and finger formation
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Flow of a Viscous Liquid on a Rotating Disk
• On an Alternating Direction Method for Solving the Plate Problem with Mixed Boundary Conditions
• Unsteady spreading of thin liquid films with small surface tension
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• Spin coating and air-jet blowing of thin viscous drops
• Fingering phenomena for driven coating films
• The linear stability of a drop of fluid during spin coating or subject to a jet of air
• Stability of Newtonian and viscoelastic dynamic contact lines
• The rate of spreading in spin coating

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