Introduction to Hydrodynamic Stability - Part 1

Explore the fundamentals of hydrodynamic stability in this comprehensive lecture by Rama Govindarajan. Delve into key concepts such as linear stability, density stratification, and various instabilities including Rayleigh-Taylor, Rayleigh-Plateau, and Kelvin-Helmholtz. Examine the role of surface tension, polymer flows, and centrifugal forces in fluid dynamics. Gain insights into stability analysis for incompressible Navier-Stokes equations and the significance of Reynolds number. Discover how small changes can lead to large effects in fluid systems, and understand the applications of these principles in geophysical phenomena.

ICTS
ICTS THEORETICAL SCIENCES
Rama Govindarajan
Introduction to hydrodynamic stability
Pilot
Prescription for laminar wing:
Instabilities: Wherever you see a pattern, think of us
Sand ripples
Aeolian Impact Ripple Formation - Sample 1 @ 9 m/s
Linear stability
Density stratified fluid Here: stable stratification
Rayleigh-Taylor instability Unstable stratification
Surface tension as a destabiliser! Rayleigh-Plateau instability
Polymer flows
Centrifugal instability: Taylor-Collette
The Kelvin-Helmholtz instability
Rossy wave
Kelvin-Helmholtz instability
Stability analysis, constant density: Incompressible Navier-Stokes
"Reynolds number"
Elastic turbulence Re, =
Large effect of small change