CBE 30355 - Lecture Notes - Sept. 17, 2019

Announcements

Class notes

The main points of the lecture were

• Conservation of Momentum

Goals:

• Derive an integral equation governing conservation of momentum.
• Apply it to determine all relevant forces in a pipe or other geometries.

Reading

• The class notes.
• BS&L, chapter 2

Additional Readings:

In our class demonstration today we looked at how a thin drop of dye (water) breaks up when dropped onto a concentrated surfactant (Triton X-100). The water drop was torn apart forming streamers and several generations of a fractal pattern. Fractals are the result of non-linear dynamical systems, and are often found in fluid mechanics. For a website with lots of interesting videos of fractals, you can go here. The fractal we saw in class is the same as the "Bloom" fractal, the fourth one down on the page. The site also provides an elementary course on fractals given here.

Demonstration:

Breakup of an inviscid drop on a concentrated surfactant.