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Colloquium: Dr. Ridgway Scott

April 9, 2021 @ 3:00 pm - 4:00 pm

Due to the COVID-19 Pandemic, the University has instruction to cancel all in-person events through the Spring semester to adhere to city and state orders limiting public gatherings. Events still running must now take place Online— listed events will include a link in which one may access the Online webspace:

To view Dr. Scott’s talk, enter his Online chatroom via Microsoft Teams— it will open at 3:00pm on Friday, April 9th, 2021.

Kinetic Energy Instability of Couette Flow

Dr. Ridgway Scott
Emeritus Professor of Mathematics
University of Chicago

“We examine a definition of instability for steady flows based on kinetic energy which originated with Reynolds and Orr. Using this definition, we compute the most unstable mode for Couette flow. We find that instability occurs above a Reynolds number of about 177. The usual eigenvalue (linear) stability analysis predicts that there is no instability of Couette flow for any Reynolds number. So the kinetic energy criterion for instability gives a prediction more in accord with experimental evidence. We demonstrate the effect of the perturbation on time-dependent flows.”

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Details

Date:
April 9, 2021
Time:
3:00 pm - 4:00 pm
Event Category:
Website:
https://tinyurl.com/2tbmpe2f