Student projects

Instructions for doing the project:

Each group of two persons should prepare a 45 minute lecture on their topic.

Each group should also prepare a 1-2 page summary, which is to be handed out to all participants at the presentation. These summaries are to be part of the course material and I will ask questions on their content at the oral exam.

Make sure to discuss your project with me well before your presentation.Use the text in the book as a quide, look up key references discussed in the book to make your presentation and report more complete.

Dan Henningson, 7909004, 55504270, henning@mech.kth.se
 
 

TOPICS:                                                                                                                      NAME:

1 Localized disturbances.                                                                                          1._____________________

Wave-packets, streak formation, point source, group velocity, stationary phase.            2 _____________________

Litterature: 2.2.2, 2.3.5, 3.3.5, 4.7, 7.1.4, 9.6.
 
 

2 Absolute and global instability.

Theory and examples for Ginzburg-Landau equations + applications.                            1.______________________

Litterature: 7.2, 7.4.5.                                                                                                  2.______________________
 
 

3 Non-parallel effects.

Non-parallel theory, tripple-deck, multiple-scale analysis.                                             1.______________________

Litterature: 7.4.                                                                                                            2.______________________
 
 

4 Effects of pressure gradients and cross-flow.

Falkner-Skan-Cooke and cross-flow.                                                                          1.______________________

Litterature: 6.1, 9.5.2, 9.5.3.                                                                                        2.______________________
 
 

5 Gortler problem and spatial optimals.

Temporal vs spatial, spatial optimals and adjoints.                                                         1.______________________

Litterature: 7.4.2, 7.6.4.                                                                                               2.______________________
 
 

6 Compressible stability.

Inviscid, viscous, spatial.                                                                                              1.______________________

Litterature: 6.5.                                                                                                            2.______________________
 
 

7 Benard convection.

Energy theory, eigenvalue stability.                                                                               1.______________________

Litterature: 5.6 and Acheson 9.3.                                                                                 2.______________________
 
 

8 Secondary instability.

2D, vorticies, model problems.                                                                                    1.______________________

Litterature: 8.                                                                                                              2.______________________
 
 

9 Transition modelling.

Low order systems of ODE's, e^N-method, bypass modelling.                                    1.______________________

Litterature: 9.7.                                                                                                           2.______________________
 
 

10 Receptivity.

Tipple-deck, finite-amplitude approach, adjoint.                                                          1.______________________

Litterature: 7.6.                                                                                                           2.______________________
 
 

11 Stability of time-dependent flows.

General flows, adjoints, time-periodic.                                                                        1.______________________

Litterature: 6.4.                                                                                                          2.______________________