Turbulent Flows Introduction

Objectives

- Presentation of classical methods of treatment and resolution of turbulent flows

- Introduction of the concept of turbulent viscosity and the associated assumptions and limitations

- Application to cases of canonical turbulent flow (jet, boundary layer ...)

- Phenomenological introduction of turbulent field statistics (multi-point time statistics) and aspects of dispersion and mixing by turbulent flows

- Opening on the different numerical simulation strategies of turbulent flows.

Description

- 9 courses
- 6 TD
- 2 TP computer
- 2 experimental labs
- 1 exam

 

 

Introduction to turbulent flow

1- Introduction

2- derivation of Reynolds equations

3- Free shear flows (jets, wakes, layer of mixtures)

4- Wall flows (boundary layers, pipes)

5- Turbulent mixing and natural convection

6- Structure of the turbulence

Targeted skills

- Estimation of the characteristic scales of a turbulent flow

- Understanding of turbulent viscosity models

- Understanding the notions of separation of scales

- Understanding of the notions of self-similarity

Bibliography

[1] H. Tennekes et J. L. Lumley : A First Course in Turbulence. MIT Press, 1972.

[2] É. Guyon, J.-P. Hulin et L. Petit : Hydrodynamique physique. EDP Sciences, 3e édition édition, 2012.

[3] P. Chassaing : Turbulence en mécanique des fluides. Cépaudès-éditions, Collection POLYTECH, 2000.

[4] S. B. Pope : Turbulent Flows. Cambridge University Press, 2000.

[5] P. Davidson : Turbulence : An Introduction for Scientists and Engineers. OUP Oxford, 2004.

[6] J. Mathieu et J. Scott : An Introduction to Turbulent Flow. Cambridge, 2000.

Pre-requisites

- Basis on Mechanics of continuous media and fluid mechanics (notion of constraints, Navier-Stokes equations)

- Concepts of statistics and signal processing (moment, correlation, spectrum, distribution function)

Session 1 ou session unique - Contrôle des connaissances

Session 2 - Contrôle des connaissances