ME-466 / 3 crédits

Enseignant: Gallaire François

Langue: Anglais


Summary

This course focuses on the physical mechanisms at the origin of the transition of a flow from laminar to turbulent using the hydrodynamic instability theory.

Content

Keywords

Instability, linearization, bifurcation

Learning Prerequisites

Required courses

Incompressible fluid mechanics

Recommended courses

hydrodynamics

Important concepts to start the course

  • concept of linear operator and eigenvalues
  • be able to solve a linear differential system at constant coefficients
  • Fourier analysis
  • Taylor expansions
  • Navier-Stokes equations
  • Use a work methodology appropriate to the task.
  • Use both general and domain specific IT resources and tools
  • Make an oral presentation.
  • Write a literature review which assesses the state of the art.
  • Summarize an article or a technical report.

Learning Outcomes

By the end of the course, the student must be able to:

  • Describe the physical differences between laminar and turbulent flows, AH4
  • Implement the basics of computer programming; develop a (simple) structures software using a programming language / environment such as C, Fortran or Matlab, AH40
  • Describe the physical differences between laminar and turbulent flows, AH4
  • Integrate the basics of computer programming; develop a (simple) structures software using a programming language / environment such as C, Fortran or Matlab, AH25

Transversal skills

  • Use both general and domain specific IT resources and tools
  • Write a literature review which assesses the state of the art.
  • Use a work methodology appropriate to the task.
  • Summarize an article or a technical report.

Teaching methods

Lectures, exercice and homework

Expected student activities

The students should follow the lectures and practise at home both the resolution of application exercises and the reading of scientific articles.

Assessment methods

Written exam.

Supervision

Office hours Yes
Assistants No
Forum No

Resources

Bibliography

Instabilités hyrodynamiques, F. Charru, CNRS Editions, 2007
Introduction to Hydrodynamic Stability, P.G. Drazin, Cambridge Univ. Press, 2002.

Ressources en bibliothèque

Moodle Link

Dans les plans d'études

  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Instability
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11    CHB330
11-12    
12-13    CHB330
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Vendredi, 10h - 12h: Cours CHB330

Vendredi, 12h - 13h: Exercice, TP CHB330