1. Recognize the differences between laminar and turbulent flows and to use the appropriate equations describing these flows together with applications
2. Know the transition mechanism from laminar to turbulent flow
3. Have the knowledge of the existing modern turbulence models or the computation of turbulent flows through and around bodies.
4. Know the equations and their applications on high Mach number compressible flows.
Course Content (Syllabus)
Part I. Incompressible flow. 1. Derivation of the essential fluid mechanics equations. 2. Perturbation theory and transition from laminar to turbulent flow. 3. Derivation and solution of Orr-Somerfeld equations. 4. Modeling of transition. 5. Transitional flows on flat plates, airfoils and aircraft wings. 6. Turbulent flows. Statistical analysis of turbulence. 7. Turbulence parameters. 8. The Reynolds-stresses. Turbulence scales. 9. Governing equations for turbulent flows. 11. Turbulence modeling. Zero, half, one and two equation turbulence models. Non-linear turbulence models. Reynolds-stress models.
Part II. Compressible flow. 1. Elements of two-dimensional incompressible flows. 2. Supersonic and hypersonic flows. 3. The Newton theory. 4. Very high temperature flows. 5. Low density fluid flows.
Laminar flow, transition, turbulence, turbulence models