Pattern Formation in Periodically Forced Fluids

When a fluid is subject to a periodic forcing in the vertical direction, it may form spatio-temporal patterns. These patterns result from what is called the Faraday instability. The examples below are a collection of photos taken of a sinusoidally forced petri dish of water. The different patterns here are the result of varying the frequency and amplitude of the forcing.



Rocking Faraday

When a fluid is subject to a rocking motion, similar to that of a coin spinning down, then things can get more complicated. Rotating patterns, rings moving at different speeds, and even ratcheting can occur.

threefold symmetry Quicktime movie of rotating patterns ninefold symmetry

The Apparatus


The apparatus that produced these patterns. Here we see it mounted atop an overhead projector. The bright spot in the middle is the petri dish.