Introduction to turbulence
From CFD-Wiki
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** [[Ensemble average in turbulence #Fluctuations about the mean | Fluctuations about the mean]] | ** [[Ensemble average in turbulence #Fluctuations about the mean | Fluctuations about the mean]] | ||
** [[Ensemble average in turbulence #Higher moments| Higher moments]] | ** [[Ensemble average in turbulence #Higher moments| Higher moments]] | ||
| - | * [[Probability | + | * [[Probability in turbulence| Probability]] |
| - | ** [[Probability #The histogram and probability density function| The histogram and probability density function]] | + | ** [[Probability in turbulence#The histogram and probability density function| The histogram and probability density function]] |
| - | ** [[Probability #The probability distribution| The probability distribution]] | + | ** [[Probability in turbulence#The probability distribution| The probability distribution]] |
| - | ** [[Probability #Gaussian (or normal) distributions| Gaussian (or normal) distributions]] | + | ** [[Probability in turbulence#Gaussian (or normal) distributions| Gaussian (or normal) distributions]] |
| - | ** [[Probability #Skewness and kurtosis| Skewness and kurtosis]] | + | ** [[Probability in turbulence#Skewness and kurtosis| Skewness and kurtosis]] |
* [[Multivariate random vaiables#Multivariate random vaiables| Multivariate random vaiables]] | * [[Multivariate random vaiables#Multivariate random vaiables| Multivariate random vaiables]] | ||
** [[Multivariate random vaiables#Joint pdfs and joint moments| Joint pdfs and joint moments]] | ** [[Multivariate random vaiables#Joint pdfs and joint moments| Joint pdfs and joint moments]] | ||
Revision as of 15:14, 17 June 2007
| Nature of turbulence |
| Statistical analysis |
| Reynolds averaging |
| Study questions
... template not finished yet! |
Contents |
Nature of turbulence
- The turbulent world around us
- What is turbulence?
- Why study turbulence?
- The cost of our ignorance
- What do we really know for sure?
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 "Lectures in Turbulence for the 21st Century" by Professor William K. George, Professor of Turbulence, Chalmers University of Technology, Gothenburg, Sweden.
