9 units (3-0-6) | second term
Prerequisites: ACM 95/100 ab, ACM 104 or equivalent and Ae/APh/CE/ME 101 abc.
Laminar-stability theory as a guide to laminar-turbulent transition. Rayleigh equation, instability criteria, and response to small inviscid disturbances. Discussion of Kelvin-Helmholtz, Rayleigh-Taylor, Richtmyer-Meshkov, and other instabilities, for example, in geophysical flows. The Orr-Sommerfeld equation, the dual role of viscosity, and boundary-layer stability. Non-normality of the linearized Navier-Stokes operator, and transient growth. Weakly nonlinear stability theory and phenomenological theories of turbulence.