Theory of hydrodynamic stability

Gaining knowlegde from linear and nonlinear theory of hydrodynamic stability, which gives the opportunity of own research in this area.

Student will gain knowledge from theory of hydrodynamic stability. This knowledge can be used for scientific researh in this area of fluid dynamics.

Fundamental concepts of hydrodynamic stability. Kelvin-Helmholtz instability. Thermal instability. Centrifugal instability, the Taylor problem, the Dean problem and the Gortler problem.The inviscid and viscous theory for parallel shear flow. Heuristic methods of approximation. Approximations to the eigenvalue relation. Symmetrical flows in a channel. Flows of the boundary layer type. Numerical methods of solution. Stabiity characteristics of various basic flows. Plane Coutte flow, Poiseuille flow in a circular pipte, Plane Poiseuille flow. Uniform asymptotic approximations. Additional topics in linear stability theory. Nonlinear stability. Fundamental concepts of nonlinear stability. Additional fundamental concepts of nonlinear stability.

Calculations of linear stability problems in laminar flows.

Passed exam in Selected Chapters in Fluid Mechanics.

Total assigned hours: 65

New material: 45
Elaboration and examples (recapitulation): 5

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 0
Test: 10
Final exam: 5

Activity during lectures: 0
Test/test: 50
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 0

P.G. Drazin, W.H.Reid: Hydrodynamic stability, Cambridge University press, 2004.