MAE 210C

Yet not every solution of the equations of motion, even if it is exact, can actually occur in Nature. The flows that occur in Nature must not only obey the equations of fluid dynamics, but also be stable” (Landau and Lifshitz).

Course description 

This course focuses on the theory of hydrodynamic stability and transition to turbulence. Topics covered include: instabilities and bifurcations; Kelvin-Helmholtz and Rayleigh-Taylor instabilities; capillary instability of a jet; Rayleigh-Bénard convection; centrifugal instabilities; inviscid instability of parallel flows; viscous instability of parallel flows; growth of disturbances in space and time; transient growth and optimal excitation; the energy method; weakly nonlinear theory.

Instructor

Antonio L Sánchez

Office hours

Mo 10:00-11:00 am & We 10:30-11:30 am, EBU II. Room 554

Assignments

Homework assignments, Midterm exams, and Solutions will be listed below:
[HW1, Solution]
[HW2][Solution]
[HW3] Due on May 31 [Solution]
[HW4] Due on May 22 [Solution]
[HW5] Due on June 9 [Solution]
[Presentations]

Textbook

Introduction to Hydrodynamic Stability, P. G. Drazin (2002)

Syllabus

You can find here the syllabus of the course.

Sample problems

Topics1-5
Topics6-7
Topics8-11

Numerical tools

You can find here the codes used in class on 05/22/2017 for solving eigenvalue problems.