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3T360 Hydrodynamic Stability 3 ECTS<br />
Lecturers:<br />
Dr. Leon Kamp<br />
Dr. Bas van de Wiel<br />
Prof. Herman Clercx<br />
Objectives<br />
The student learns how to analyse the (in)stability of flows by some basic analysis<br />
techniques, including nonlinear theory.<br />
Contents<br />
• Introduction: basics and fundamental concepts, what is (in)stability, mechanisms<br />
of instability.<br />
• Techniques and methods to investigate hydrodynamic stability (laboratory<br />
experiments, numerical simulations, linear and weakly nonlinear theory, normal<br />
mode analysis, bifurcation and chaos, strongly nonlinear theory, development of<br />
instabilities in space and time).<br />
• Kelvin-Helmholtz instability.<br />
• Capillary instability of a jet (Rayleigh's theory).<br />
• Rayleigh-Bénard convection.<br />
• Centrifugal instability (swirling flows, Couette flow, Görtler instability).<br />
• Stability of parallel flows (inviscid; Rayleigh's stability problem, viscous; Orr-<br />
Sommerfeld problem, stratification; generalization of Kelvin-Helmholtz<br />
instability, Rayleigh-Taylor instability, baroclinic instability).<br />
Book: Introduction to Hydrodynamic Stability by P.G. Drazin
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