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)
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Governing equations and exact solutions
Navier-Stokes equations in vector form
Coming soon - Potential flow and external aerodynamics
Velocity potential and stream function in 2D
Coming soon - Turbomachinery and computational methods
Axial and radial turbomachiner stage analysis
Coming soon - Research and industry applications
Aerospace propulsion internal flows
Coming soon
Pricing calculator
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$1,162 · Advanced fluid mechanics · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.