The course provides the basic knowledge of fluid mechanics, concerning the static and dynamic behavior of ideal and real-Newtonian fluids. Particular attention is paid to practical applications and engineering aspects with particular reference to Civil and environmental Engineering.

Knowledge about (i) fluids at rest, (ii) modelling of ideal and Newtonian fluids, (iii) pressurized and free-surface streams and (iv) motion in porous media. Students will be able to evaluate the static and dynamic actions of fluids on walls, design and verify streams in pipes and free-surface channels and tackle simple problems of flows in porous media.

The knowledge provided by the Calculus and Physics courses held in the first years of the Engineering degree is required. In particular, knowledge of differential and integral calculus is required, as well as of vector calculus.

Fluids and their characteristics. Definition of fluid; fluid as a continuous; typical variables of fluid mechanics; motion regimes; deformations, deformation celerity and stresses in a fluid; state equation. Fluid statics. Local and global force balances; Stevin law; pressure measurements; resultant on flat surfaces and curved surfaces; buoyancy; stability of floats. Kinematics. Eulerian and Lagrangian approaches. Eulerian acceleration, flow field; currents; continuity equations in local and global form. Dynamics of ideal fluids. Euler equation; global equation; Bernoulli's theorem and its applications and extensions. Power of a stream. Dynamics of Newtonian fluids. Navier-Stokes equations; global equation for Newtonian fluids; Reynolds number. Laminar flow. Definition; global equation; analytical solutions. Turbulence. Reynolds experience: general characteristics; temporal and ensemble average; Reynolds-averaged equations; Reynolds stresses; dimensional analysis; velocity profile. Pressurized currents. Empirical approach; Moody's diagram; dissipations; empirical formulas; piezometric and total load behaviors. Pipeline network. Definitions; design problems; emblematic cases, networks; Tank design; flow measurements. Open channel flows. Basic concepts; de Saint Venant equations; uniform motion; critical motion; Froude number; critical slope. Permanent motion; depth profiles; hydraulic jump; typical cases; flow measurements. Potential flows. Definition; potential and stream functions; Chauchy-Riemann relations; differential modelling; complex formalism; examples (motion in corners, well-source, vortex, flow around a body and a cylinder). Filtration. General characteristics and approaches; Darcy equation; hydraulic conductivity tensor; analytical solutions.

The course is divided in lectures and tutorials. Tutorials are targeted to deepen the understanding of the concepts that are addressed in the lectures. A quick visit to the laboratory is also scheduled.

The slides of the curse will be made available on the Polito Teaching Portal https://didattica.polito.it Suggested reading: Fluid Mechanics: Fundamentals and Applications. Second Edition in SI Units. Y.A. Çengel and J. M. Cimbala, McGraw-Hill, New York, 2010.

Modalità di esame: Prova scritta (in aula);

Exam: Written test;

... The exam is WRITTEN ONLY and includes numerical problems as well as theoretical questions (this includes derivations) that the students have to address in 2 HOURS. The students are allowed to bring only a pen and a calculator (lengthy empirical formulae will be always provided in the exam script). The exam is passed provided that a minimum score of 18/30 is achieved.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.