MAK 681E  Hydrodynamic Stability
Course Objectives
 Definition of instability and basic concepts.
 Development of instability and their classifications.
 Description of wellestablished and known approaches and theories and their scope.
Course Description
Fundamental concepts of stability; Perturbation and types of stability, Some known examples of stability. KelvinHelmholtz instability; Shear instability. Surface tension instability of a liquid column. Stability of parallel shear flows; Inviscid flow, linearization of equations of motion. Modal Analysis, Development of linear instability in time and space, Squire's theorem for an inviscid flow, General criteria for instability. Viscous flow; Plane Couette flow. Poiseuille flow, Blasius boundary layer. TollmienSchlichting waves, Eigenvalue spectrum. Instability due to streamline curvature; Taylor problem. Instability due to streamline curvature; Görtler problem. Introduction to nonlinear stability; Landau's theory. Resonant wave interactions. Introduction to behaviour of ordinary differential equations. Introduction to bifurcation theory.


Course Coordinator
İlyas Bedii Özdemir
Course Language
English


