The physical properties of fluids: general information on solids, liquids and gases - continuum hypothesis - volume and surface forces - classical thermodynamics - transport phenomenon - properties of liquids - viscosity and stress - vapor pressure - surface tension - capillarity

Review of tensor algebra: vectors and tensors - operations between tensors - Kronecker and Ricci operators - properties of tensors - eigenvalues and eigenvectors - Green and Stokes theorems

Fluid kinematics: velocity gradient tensor - material derivative - Lagrangian and Eulerian description - trajectories, streamlines, and flux lines - classification of motions

Equations of fluid mechanics: Reynolds theorem - conservation of mass - momentum balance - stress tensor - Cauchy tetrahedron - momentum balance - constitutive equations - Navier-Stokes equations - mechanical energy equation - first law of thermodynamics - thermal energy balance - Fourier relation - Bernoulli's theorem (Pitot tube, Venturi tube) - entropy balance

Advanced fluid mechanics: vorticity dynamics - exact solutions of the Navier-Stokes equations - boundary layer and turbulence - outline of aerodynamic forces and compressible flows

Fluid Mechanics Equations: Formulate fluid mechanics equations for hydraulic systems

Hydrostatics: distribution of pressures - thrusts - pressure gauges
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Lecture notes from "Lezioni del corso di fluidodinamica", R. Camussi