11 Course Topics

• Introduction: mathematical preliminaries, continuum hypothesis, kinematics, Eulerian and Lagrangian description.
• Basic laws: Reynolds transport theorem, equations of motion (mass/momentum/energy balance), integral and differential forms, Navier-Stokes equations, Euler equations, Bernoulli's equation, constitutive relations, vorticity, dimensional analysis.
• Potential flow: complex analysis, velocity potential and streamfunction, circulation, airfoil.
• Viscous flow: exact solutions to the Navier-Stokes equations, low-Reynolds number flow, vortex dynamics, boundary layer theory
• Other topics: turbulence, hydrodynamic stability. (As time permits.)