MATH 8346 Hydrodynamic Stability
This course covers basic concepts in hydrodynamic Stability such as stability system, Kelvin-Helmholtz instability, derivation of linear stability system, Rayleigh-Taylor instability, shear instability, break up of a liquid jet, parallel shear flows, inviscid theory, Squire’s transformations, Rayleigh stability system, Rayleigh’s inflexion-point theorem, viscous instability, the Orr-Sommerfeld equation, critical Reynolds number for simple flows, temporal and spatial instabilities, thermal instability, flow patterns, bifurcation theory, limit cycle and attractors, the Landau nonlinear equation and solution, secondary instability, transition to turbulence, and experimental and technological applications.
Prerequisite
Consent of instructor.
Offered
As scheduled