Università Roma Tre

1. Introduction. Definition of fluid. The continuum hypothesis. Physical properties of fluid.
2. Fluid statics. Stress. The Cauchy's tethrahedron. The fundamental equation of fluid statics in differential and integral form. 'Forces on flat and curved surfaces.
3. Flow kinematics. Motion description. Control and material volume. Fluid element. Total derivative. Transport theorem. Trajectories, streamlines, streaklines. The velocity field in the neighbourhood of a point.
4. Governing equation in differential, integral and 1D form. Mass conservation equation. Constitutive equation. Momentum equation. The Navier-Stokes equation. The Euler equation and its projection on the intrinsic frame of reference. The Bernoulli's theorem. The energy equation.
5. Applications. The Pelton turbine. The drag force. The propeller. The reaction propulsion. The moment of momentum equation and its application to the rotating hydraulic machines.
6. Dimensionless form of the governing equations. Analysis at changing Reynolds number.
8. Boundary layer
9. Ideal flows
10. Steady, uniform pipe flow. Fundamentals of turbulence of incompressible fluids.

Lecture notes.

Readings suggested by the teacher during the course.