Fiches de cours 2017-2018

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Instability

ME-466

Lecturer(s) :

Gallaire François

Language:

English

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

Learn to understand the complex phenomena originating in the destabilization of laminar flows, and their transition to turbulence. Know how to linearize the fluid equations and to formulate the question of stability of a flow in terms of an eigenvalue problem and a dispersion relation. Identify the physical mechanisms resulting in classical instabilities as Kelvin-Helmholtz instability. Spatial instability in open flows. Understanding the different types of bifurcations. Reading scientific literature.

Keywords

Instability, linearization, bifurcation

Learning Prerequisites

Required courses

Incompressible fluid mechanics

Recommended courses

hydrodynamics

Important concepts to start the course

Learning Outcomes

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

Transversal skills

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 Yes
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

In the programs

    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks
    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks
  • Energy Management and Sustainability, 2017-2018, Master semester 1
    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks
  • Energy Management and Sustainability, 2017-2018, Master semester 3
    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks
    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks
    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks
    • Semester
       Fall
    • Exam form
       Written
    • Credits
      3
    • Subject examined
      Instability
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      1 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
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     
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German