Cheg 355 - Lecture Notes - Sept. 14, 2004
Announcements
Class notes
Scanned Notes
The main points of the lecture were
Goals:
After this class you should be able to:
- 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
- Multi-Media Fluid Mechanics: Work through Kinematics: The Material Derivative.
This section provides a nice discussion of the difference between Eulerian and Lagrangian descriptions.
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 studied in the general
field of Chaos Theory. For an introduction to this area, as well as some really neat
pictures, go here.
Demonstration:
Breakup of an inviscid drop on a concentrated surfactant.
Homework Exercises (Due Sept. 21, 2004)
problem set 4
solution
David.T.Leighton.1@nd.edu