CBE 30355 - Lecture Notes - Oct. 2, 2025

Announcements

Class notes

• Dynamic Similarity

Goals:

• Render the equations of motion dimensionless.
• Apply the law of dynamic similarity to develop scale models.

Reading

• The class notes.
• BS&L, chapter 3

Matlab Example:

For homework you are asked to to a simple error calculation to determine the confidence interval of a calculated value. An example of how this can be done via the standard formula and via MC simulation is given in the file mcerrordemo.m.

Demonstration:

Taylor Vortices.

Sir Geoffrey Ingram Taylor is generally regarded as the preeminent fluid dynamicist of the 20th century. His genius was to combine detailed mathematical treatment of complex phenomena with simple, precise experimental results. In class we demonstrated one of the many phenomena associated with his name - the Taylor-Couette instability. For a discussion of this and other phenomena associated with G. I. Taylor, go here. The reference to Taylor-Couette flow is about half-way through the article (download the pdf file). A brief biographical sketch of G.I. Taylor is given here.