OVERVIEW

The course is divided into two parts: the first deals with elementary fluid mechanics; the second deals with the subject of fully-developed turbulence both in the large-scale regime  and in the ultraviolet (small-scale) regime.

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to introduce the key concepts of fluid dynamics and turbulence. The study of turbulence will also be based on averaged equations and Reynolds Large-eddy simulation (LES).

AIMS AND LEARNING OUTCOMES

At the end of  of the course, it  is expected from the students the ability to solve problems of fluids dynamics and turbulence that may be encountered in real life. Students are also expected to develop a strong critical opinion on concepts such as predictability and  chaos of complex systems such as fluids.

TEACHING METHODS

The course is done in a traditional manner by means of lectures with ample space for exercises aimed at establishing the fundamental concepts. The exam will consist of a written test and an oral. Teachers can be contacted by students for questions or requests for further study  during office hours or outside prior arrangement.

SYLLABUS/CONTENT

- Introduction to Fluid Mechanics
- Kinematics of incompressible fluids
- The Navier-Stokes and energy balances
- Irrotational flows and complex formalism
- Laminar Flows
- The boundary layer theory

- Phenomenological aspects of turbulence: Kolmogorov's 1941  theory  and scale invariance in a global sense
- The problem of scale invariance violation and the appearance of intermittency: the fractal and multifractal approaches
- Introduction to exact models of passive scalar turbulence

RECOMMENDED READING/BIBLIOGRAPHY

P.K. Kundu, Fluid Mechanics, Fifth Edition, 2014.

U. Frisch, Turbulence, Cambridge Univ. Press. 1995;

E. Ott, Chaos in Dynamical Systems, Cambridge Univ. Press. 1993;

TEACHERS AND EXAM BOARD

Exam Board

ANDREA MAZZINO (President)

PIERANTONIO ZANGHI'

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

Exam schedule