CBE30355 - Lecture Notes - Sept. 22, 2022
Read through pages 113-128 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
- Plane Couette Flow and Flow Down an Inclined Plane
After this class you should be able to:
- Set up and solve unidirectional flow problems using the Navier-Stokes equations.
- The class notes.
- BS&L, chapter 3
In class today we demonstrated the phenomenon of gravity driven flow down an
inclined plane. There are many examples of this, both in the laboratory and in nature.
Perhaps the most spectacular, however, (and certainly the most deadly) are the
pyroclastic flows associated with volcanic activity. A good description of such flows
may be found here.
Gravity driven flow of a viscous fluid down an inclined plane. Note that while simple, this technique is still actively used for studying non-Newtonian rheology. In particular, if you flow a concentrated suspension down a semi-circular trough the normal stress differences lead to a measureable deflection of the upper surface. This is actually the most sensitive way I know of to measure N2, the rheological function which leads to particle migration, meniscus accumulation, resuspension, and all sorts of other effects. A nice paper describing this effect (and with a pretty picture of the deflection) is given here.