The continuum hypothesis. Definition of thermodynamic properties. Gas models.
Fluid kinematics. Eulerian and Lagrangian coordinates. Local and material derivative. The Reynolds transport theorem.
Continuity equation. Momentum equation and definition of the stress tensor. Energy equation. First thermodynamic principle. The Bernoulli¿s principle.
Fluid statics. Stevino's law. Hydrostatics. Forces on immersed bodies.
Non-dimensional version of the Navier-Stokes equations. The Buckingham PI theorem. Relevant non-dimensional numbers in fluid mechanics.
Irrotational motion. Velocity potential. Stream function. Plane potential flow. The complex potential. Superposition of elementary solutions. Flow over a cylinder.
The Mach number. Flow regimes. Total thermofluiddynamic properties.
Steady and unsteady normal shock waves. Oblique shock waves. Expansion waves: the Prandtl-Meyer relation.
Introduction to fluid dynamic stability. Kelvin-Helmholtz, Rayleigh-Taylor and Richtmyer-Meshkov instability.
Introduction to fluid turbulence.