Standard syllabus
Advanced fluid mechanics · Graduate · Engineering
Topics
Governing equations and exact solutions
- Navier-Stokes equations in vector form
- Vorticity transport and Kelvin's circulation theorem
- Boundary layer equations and similarity solutions
- Blasius and Falkner-Skan flows
- Momentum integral methods for boundary layers
- Transition to turbulence: linear stability intro
- Turbulent boundary layers and law of the wall
- Reynolds stress and closure problem
- Turbulence modeling: k-ε and k-ω overview
- Compressible flow: normal shock relations
Potential flow and external aerodynamics
- Velocity potential and stream function in 2D
- Superposition: source, sink, vortex, doublet
- Flow around cylinders and lift generation
- Thin airfoil theory and Kutta condition
- Panel methods for numerical lift calculation
- Drag breakdown: friction, pressure, induced
- High-lift devices and stall mechanisms
- Wind tunnel testing and similitude
- Hypersonic and rarefied flow awareness
- Multiphase flow fundamentals (survey)
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.