# Introduction to turbulence

### From CFD-Wiki

(Difference between revisions)

m |
|||

Line 32: | Line 32: | ||

* [[Reynolds averaged equations and the Turbulence Closure Problem#Equations for the average velocity | Equations for the average velocity ]] | * [[Reynolds averaged equations and the Turbulence Closure Problem#Equations for the average velocity | Equations for the average velocity ]] | ||

* [[Reynolds averaged equations and the Turbulence Closure Problem#The turbulence problem | The turbulence problem ]] | * [[Reynolds averaged equations and the Turbulence Closure Problem#The turbulence problem | The turbulence problem ]] | ||

- | * [[Turbulence: Origins of | + | * [[Turbulence: Origins of turbulence | Origins of turbulence ]] |

* [[The importance of non-linearity #The importance of non-linearity | The importance of non-linearity ]] | * [[The importance of non-linearity #The importance of non-linearity | The importance of non-linearity ]] | ||

* [[The Turbulence Closure problem and the Eddy Viscosity #The Turbulence Closure problem and the Eddy Viscosity |The Turbulence Closure problem and the Eddy Viscosity ]] | * [[The Turbulence Closure problem and the Eddy Viscosity #The Turbulence Closure problem and the Eddy Viscosity |The Turbulence Closure problem and the Eddy Viscosity ]] | ||

Line 50: | Line 50: | ||

'''This text was based on "Introduction to Turbulence" by Professor William K.George, Chalmers University of Technology, Sweden.''' | '''This text was based on "Introduction to Turbulence" by Professor William K.George, Chalmers University of Technology, Sweden.''' | ||

- | + | [[Category: Turbulence]] | |

- | + | ||

- | + | ||

- | + | ||

- | [[Category: Turbulence | + |

## Revision as of 10:16, 14 June 2007

## Contents |

## What is turbulence?

## Elements of statistical analysis

- The ensemble and ensemble average
- Probability
- Multivariate random vaiables
- Estimation from a Finite Number of Realizations
- Generalization to the estimator of any quantity

## Reynolds averaged equations and the turbulence closure problem

- The equations governing the instantaneous fluid motions
- Equations for the average velocity
- The turbulence problem
- Origins of turbulence
- The importance of non-linearity
- The Turbulence Closure problem and the Eddy Viscosity
- The Reynolds Stress Equations

## Turbulence kinetic energy

## Stationarity and homogeneity

## Homogeneous turbulence

## Free turbulent shear flows

## Wall bounded turbulent flows

## Credits

**This text was based on "Introduction to Turbulence" by Professor William K.George, Chalmers University of Technology, Sweden.**