CBE 30355 - Lecture Notes - Sept. 22, 2020
Announcements
Class notes
Read through pages 158-168 of the notes and view the online narration below. Don't forget to complete the quiz in Sakai!
The main points of the lecture were
Goals:
After this class you should be able to:
- Render the equations of motion dimensionless.
- Apply the law of dynamic similarity to develop scale models.
Reading
- The class notes.
- BS&L, chapter 3
Additional Readings:
A classic example of the use of dynamic similarity and the laws governing scale-up is the
design of ships. In the U.S. the main ship model design and testing center is the former
David Taylor Model Basin (now the Carderock Division of the Naval Surface Warfare
Center). While you can't really keep the Reynolds number constant between model and the
full scale ship, you can keep the Froude number constant. This allows you to see how hull
design, etc., affects bow waves, wakes, and drag. Provided the Reynolds number is "high" for
both model and full scale (so that viscous effects can be neglected), the drag on the model can
be related to that on the full scale ship. The history of the model basin may be found in an
ASME brochure given here.
Demonstration:
Dynamic Similarity of Vortices
David.T.Leighton.1@nd.edu