The course is aimed at giving the students the theoretical and applied fundamentals of the fluid mechanics.
teacher profile teaching materials
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.
Readings suggested by the teacher during the course.
Programme
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.
Core Documentation
Lecture notes.Readings suggested by the teacher during the course.
Reference Bibliography
1. AC Yunus, JM Cimbala, Fluid mechanics: fundamentals and applications, International Edition, McGraw Hill Publication, 2006 2. BR Munson, AP Rothmayer, TH Okiishi, WW Huebsch, Fundamentals of Fluid Mechanics, Wiley & Sons, 7th edition, 2012 3. E Marchi, A Rubatta, Meccanica dei Fluidi. Principi e applicazioni idrauliche, UTET 4. D Citrini, G Noseda, Idraulica, Casa Editrice Ambrosiana 5. M Mossa, AF Petrillo, Idraulica, Casa Editrice AmbrosianaType of delivery of the course
Class lessons and exercitations.Type of evaluation
In itinere assessment: two written tests consisting of two exercises with numerical calculation and an open question taken from the list of topics. Alternatively, a final written test consisting of three exercises with numerical calculation and an open question taken from the list of topics.