LEARNING OUTCOMES

Presents the fundamental principles and laws that govern the motion of fluids. Simple practical problems are formulated and solved and the foundation to tackle more complex problems are laid

AIMS AND LEARNING OUTCOMES

the frequency and the active participation in the training activities (lectures and exercises) will allow the student 1) to formulate the problem of fluid motion in the correct way, 2) to identify the most appropriate approach to obtain the solution, according to the values
of the parameters that control the flow of fluids, 3) to evaluate the forces that the fluids exert on moving bodies or, in a similar way, to determine the forces exerted by a fluid that flows around a structure. At the end of the course, the student will be able to describe the motion of a fluid both in the laminar regime (for example the motion inside the circulatory system) and in the turbulent regime (for example the motion along a river or the motion generated by the wind that flows around a building) and to evaluate the forces exerted
from a wave against a breakwater or to estimate the lift that keeps an airplane in flight.

PREREQUISITES

To follow the course successfully, it is necessary to know the basic principles of physics and thermodynamics, which however will be briefly recalled during the course. Furthermore, the knowledge provided by the courses of analysis and mathematical physics is essential
 

TEACHING METHODS

The course consists of lectures for a total of about 50 hours
and exercises for a total of about 10 hours. The attendance at lessons and exercises is strongly recommended.

SYLLABUS/CONTENT

Continuum approach. Properties of fluids. Kinematics of fluids. Stress tensor. Cardinal equations of fluid motion. Elements of thermodynamics. Boundary conditions. Constitutive laws. Navier-Stokes equations.
Laminar flows. Vorticity dynamics. Flows at high Reynolds numbers. Dynamics of inviscid fluids: Bernoulli's theorem. Irrotational flows. Boundary layer: basic equations and physical interpretations.
Blasius boundary layer. Turbulence: equations of the mean motion. The problem of the closure of turbulent flows and Boussinesq approach. Outline of the main turbulence models.

RECOMMENDED READING/BIBLIOGRAPHY

- Blondeaux P. and Vittori G. (2018)
  Dispense dei corsi di Idrodinamica e Meccanica dei Fluidi
  Book available in electronic format

Further books

- Marchi E. and Rubatta A. (1981)
  Meccanica dei fluidi. Principi e applicazioni
  UTET, ISBN: 8802036594
- Ghetti A. (1980)
  Idraulica
  Libreria Cortina, Padua, ISBN: 8877840528
- Batchelor G.K. (2000)
  An introduction to fluid dynamics
  Cambridge University Press, ISBN: 9780511800955