“Let’s start with an idea.”
In a film exploring the inner workings of an everyday phenomena, Dr. Lloyd Trefethen begins with something at the heart of all scientific investigations: an idea. This idea that surfaces exert forces has been fundamental in the many studies that have looked at instances of surface tension, which in turn have made this idea into a successful hypothesis that continues to provide explanations of the behaviors of many liquids.
Many of us may remember visiting museums when we were kids and creating giant soap films with brilliant displays of iridescent colors. Or perhaps when we visited a park, we saw unimaginably large bubbles being formed from large bubble wands. These fantastic experiments have a firm rooting in ideas that are already familiar to us. In the example of a soap film caught on a wire frame (0:30), work becomes important in describing how to enlarge the surface of the film. Work not only acts when making liquid surfaces as in the case of the soap film, but also in creating solid surfaces. In examining the interactions of a droplet of liquid with a solid surface, work to create the solid surface and minimize system energy must be considered.
Returning to the idea that surfaces exert forces, the continuum equations of fluid mechanics can be used with three boundary conditions. In the case of droplets forming on a solid surface, the boundary conditions describes how where surfaces meet, the contact angle is uniquely determined by the energies associated with the interfaces. With a force balance across surfaces, a second boundary condition states that a curved liquid surface has a higher pressure on the concave side, as can be described by the Young-Laplace equation. A third condition describes that the surface tension variation along a surface is balanced by shear forces in the bounding materials, with surface tension being affected by the types of molecules, electrical conditions at the surface, and temperature of the surfaces.
The many demonstrations contained in this video showcase the varied behaviors of fluids and how these can be described. The following are exciting examples of fluid surface forces in action:
- The pulls of surface tension, drops of milk onto water (15:39)
- Wine tears formed at high surface area regions by evaporation (19:29)
- Oscillating mercury from electrical charges affecting the magnitude of surface tension (21:00)

Figure 1. Dropping milk into water creates a crown-like shape as liquid is both pushed upward by the impact and drawn downward by surface tension.


