ME 306 Hydrodynamic Stability

Concept of stability of fluid flows. Two types of stability analysis: normal modes method and treating the stability problem as an initial value problem. Linearizing the governing equations. Several instabilities examined in detail: Rayleigh-Taylor, Jeans instability, Rayleigh-Benard convection, Kelvin-Helmholtz instability, Richtmyer-Meshkov instability. Derivation of stability criteria. Parallel shear flows along with derivations of Rayleigh and Orr- Sommerfeld equations and discussion of algebraic growth. Numerical techniques for computationally determining stability including the novel use of numerical inverse Laplace Transforms. Introductory global stability analysis.




ME 200A, ME 200B


AMCS 201, AMCS 202