Mechanics of Interfaces
Lecture notes

Contents:

• 1 Introduction to surface tension
  • 1.1 Molecular origin of surface tension
  • 1.2 Surface energy and surface tension
  • 1.3 Surfactants
  • 1.4 Conclusion
• 2 Static equilibrium of liquid interfaces
  • 2.1 Planar liquid interfaces
  • 2.2 Curved liquid interfaces
    • 2.2.1 Derivation for a rectangular interface patch
    • 2.2.2 General derivation for a curved interface patch
    • 2.2.3 Consequences of Laplace pressure – equilibrium shape of a liquid blob
• 3 Three-phase contact lines
  • 3.1 Liquid-liquid-fluid contact line
    • 3.1.1 Application: Two drops in contact
  • 3.2 Solid-liquid-fluid contact line
    • 3.2.1 Equilibrium based on energetic considerations
    • 3.2.2 Equilibrium based on force balance considerations
    • 3.2.3 Contact line motion
  • 3.3 Conclusion
• Bibliography
• 4 Surface tension and gravity
  • 4.1 Dimensional analysis
  • 4.2 Planar capillary meniscus