CODE 97233 2024/2025 5 cfu anno 1 ENVIRONMENTAL ENGINEERING 10720 (LM-35) - GENOVA ICAR/01 English GENOVA 1° Semester Questo insegnamento è un modulo di: AULAWEB

## OVERVIEW

The course introduces the student to the study of fluid mechanics showing the equations
that control the motion of a fluid and obtaining some particular solutions of the hydrodynamic problem in order to provide the essential skills that are necessary to face practical problems

## AIMS AND CONTENT

### LEARNING OUTCOMES

Nel corso vengono presentati I principi fondamentali e le leggi che governano il moto dei fluidi. Vengono formulati e risolti semplici esempi di moti laminari e turbulenti e definiti i concetti di base necessari per affrontare lo studio di problemi più complessi. Vengono considerati moti laminari e turbolenti.

### AIMS AND LEARNING OUTCOMES

The frequency and the active participation in the training activities (lectures and exercises) will allow the student: 1) to correctly formulate the problem of fluid motion; 2) to identify the most appropriate approach for solving the flow problem, depending on the values of the parameters that control fluid flows; 3) to evaluate the forces that the fluids exert on the boundaries of the flow domain or, similarly, to determine the forces exerted by the environment on the fluid itself. 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 in a pipe or in an an open channel) and to evaluate the forces exerted by the fluid on a rigid boundary (for example lift and drag on an airfoil).

### 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 AFM module is a 50-hours course held in the first term. Together with the Environmental Fluid Mechanics course held in the second term, it forms the 100-hours annual course of Environmental Fluid Mechanics.

Theoretical lectures will be intermixed with applications, based on the topics more than on a fixed schedule.

Students who have valid certification of physical or learning disabilities on file with the University and who wish to discuss possible accommodations or other circumstances regarding lectures, coursework and exams, should speak both with the instructor and with Professor Federico Scarpa (federico.scarpa@unige.it  ), the Polytechnic School's disability liaison.

### 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.

- 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
- Batchelor G.K. (2000)
An introduction to fluid dynamics
Cambridge University Press, ISBN: 9780511800955

## LESSONS

### LESSONS START

https://corsi.unige.it/10720/p/studenti-orario

### Class schedule

The timetable for this course is available here: Portale EasyAcademy

## EXAMS

### EXAM DESCRIPTION

The exam consists of an oral examination during which the student will have to show that she/he has learned the topics explained during the course and the capability to formulate correctly a hydrodynamic problem as well as to choose the most appropriate approach to determine the relative solution

### ASSESSMENT METHODS

The exam aims at ascertaining the following aspects of student's preparation:
1) knowledge acquired about the basic concepts of the course, 2) capability to apply the knowledge acquired within specific contexts. The possession of these components
of the student's preparation will be ascertained through specific questions.