CBE 30355 - Lecture Notes - Sept. 5, 2023
Announcements
Don't forget to look over the notes on index notation given here.
Class notes
Read through pages 51-62 of the notes and view the online narration below. Don't forget to complete the quiz in Canvas!
The main points of the lecture were
Goals:
After this class you should be able to:
- Derive the continuity equation and use it to solve for the average velocity in a pipe system.
Additional Readings:
In class we've been dealing with conservation of mass and the continuity equation.
Perhaps the ultimate in matter conservation problems is the study of cosmology - the
evolution of the universe we live in. An interesting guide to the current theory of
cosmic evolution from the Big Bang to the present is given
here.
Demonstration:
In class today we demonstrated how you can use Archimedes Law to measure the density of an object using a scale, a thread, and a beaker of water. Although it isn't clear -exactly- what happened way back when, the legend is that Archimedes developed the idea to determine whether a goldsmith was honest in making a crown for the king, or whether he substituted in a base metal for a fraction of the gold (pocketing the rest).
Reading
- The class notes.
- BS&L chapter 2
David.T.Leighton.1@nd.edu