Fluid motion from the material derivative up: conservation of mass, the stream function, the stress tensor and the Cauchy momentum equation, Navier-Stokes and the Reynolds number, the exact Couette and Poiseuille solutions, Stokes flow and life at low Reynolds number, vorticity and vortex stretching, Kelvin's circulation theorem, Bernoulli, potential flow and d'Alembert's paradox, the Kutta-Joukowski lift, Prandtl's boundary layer and the Blasius solution, hydrodynamic stability, the Kolmogorov cascade, compressible flow with normal shocks, and the dispersion of water waves.
Free to start · adaptive placement finds your level · reviews timed to your own forgetting.
Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the day its model predicts you would forget it. A short placement check finds what you already know, so you start Fluid Mechanics exactly where it's useful.