Lecture notes:
- Introduction
- a. Definition of surface tension, governing equations, non-dimensional numbers
- b. Measuring surface tension
- Laplace pressure and introduction to wetting
- a. The notion of Laplace pressure
- b. Wetting phenomena
- c. Youngs law
- d. Capillary adhesion
- Governing and boundary conditions
- a. Boundary (Jump) conditions at an interface are derived
- Fluid statics - 1
- a. Relationship between contour and surface integral derived
- b. Fluid statics: shape of a meniscus
- Fluid statics - 2
- a. Fluid statics: floating bodies
- Capillarity
- a. Statics: capillary rise through tubes
- b. Dynamics: dynamics of impregnation
- Forced wetting
- a. Dip coating flow at low capillary number
- b. Dip coating flow at higher capillary number
- Free surface flows
- a. Hydrodynamics of free-surface flows
- b. Flow of a thin film down an incline
- Instabilities - 1
- a. Rayleigh-Plateau instability: Instability of a freely floating thread of fluid
- Falling jet
- a. Shape of a falling liquid jet
- Instabilities - 2
- a. General stability analysis of two superposed fluids: role of gravity and surface tension
- b. Kelvin-Helmholtz instability
- c. Rayleigh-Taylor instability
- d. Wind over an ocean surface
- More on wetting
- a. Youngs law
- b. Manifestations of contact angle hysterisis
- c. Wetting on rough surfaces