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Introduction to turbulence

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{{Introduction to turbulence menu}}
{{Introduction to turbulence menu}}
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'''This section is currently undergoing heavy reorganization and editing. Please excuse any errors or unfinished parts. --[[User:Jola|Jola]] 07:01, 21 June 2007 (MDT)'''
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== [[Introduction to turbulence/Nature of turbulence|Nature of turbulence]] ==
== [[Introduction to turbulence/Nature of turbulence|Nature of turbulence]] ==
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** [[Introduction to turbulence/Statistical analysis/Probability#Gaussian (or normal) distributions|Gaussian (or normal) distributions]]
** [[Introduction to turbulence/Statistical analysis/Probability#Gaussian (or normal) distributions|Gaussian (or normal) distributions]]
** [[Introduction to turbulence/Statistical analysis/Probability#Skewness and kurtosis|Skewness and kurtosis]]
** [[Introduction to turbulence/Statistical analysis/Probability#Skewness and kurtosis|Skewness and kurtosis]]
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*  [[Introduction to turbulence/Statistical analysis/Multivariate random variables|Multivariate random vaiables]]
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*  [[Introduction to turbulence/Statistical analysis/Multivariate random variables|Multivariate random variables]]
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** [[Introduction to turbulence/Statistical analysis/Multivariate random vaiables#Joint pdfs and joint moments|Joint pdfs and joint moments]]
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** [[Introduction to turbulence/Statistical analysis/Multivariate random variables#Joint pdfs and joint moments|Joint pdfs and joint moments]]
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** [[Introduction to turbulence/Statistical analysis/Multivariate random vaiables#The bi-variate normal (or Gaussian) distribution|The bi-variate normal (or Gaussian) distribution]]
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** [[Introduction to turbulence/Statistical analysis/Multivariate random variables#The bi-variate normal (or Gaussian) distribution|The bi-variate normal (or Gaussian) distribution]]
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** [[Introduction to turbulence/Statistical analysis/Multivariate random vaiables#Statistical independence and lack of correlation|Statistical independence and lack of correlation]]
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** [[Introduction to turbulence/Statistical analysis/Multivariate random variables#Statistical independence and lack of correlation|Statistical independence and lack of correlation]]
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*  [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations]]
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*  [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations|Estimation from a finite number of realizations]]
** [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations#Estimators for averaged quantities|Estimators for averaged quantities]]
** [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations#Estimators for averaged quantities|Estimators for averaged quantities]]
** [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations#Bias and convergence of estimators|Bias and convergence of estimators]]
** [[Introduction to turbulence/Statistical analysis/Estimation from a finite number of realizations#Bias and convergence of estimators|Bias and convergence of estimators]]
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*  [[Introduction to turbulence/Statistical analysis/Generalization to the estimator of any quantity]]
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*  [[Introduction to turbulence/Statistical analysis/Generalization to the estimator of any quantity|Generalization to the estimator of any quantity]]
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== [[Introduction to turbulence/Reynolds averaged equations|Reynolds averaged equations and the turbulence closure problem]] ==
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* [[Introduction to turbulence/Reynolds averaged equations#Equations governing instantaneous fluid motion|Equations governing instantaneous fluid motion]]
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* [[Introduction to turbulence/Reynolds averaged equations#Equations for the average velocity|Equations for the average velocity]]
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* [[Introduction to turbulence/Reynolds averaged equations#The turbulence problem|The turbulence problem]]
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* [[Introduction to turbulence/Reynolds averaged equations#Origins of turbulence|Origins of turbulence]]
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* [[Introduction to turbulence/Reynolds averaged equations#Importance of non-linearity|Importance of non-linearity]]
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* [[Introduction to turbulence/Reynolds averaged equations#Turbulence closure problem and eddy viscosity|Turbulence closure problem and eddy viscosity]]
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* [[Introduction to turbulence/Reynolds averaged equations#Reynolds stress equations|Reynolds stress equations]]
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== [[Introduction to turbulence/Turbulence kinetic energy|Turbulence kinetic energy]] ==
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* [[Introduction to turbulence/Turbulence kinetic energy#Fluctuating kinetic energy|Fluctuating kinetic energy]]
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* [[Introduction to turbulence/Turbulence kinetic energy#Rate of dissipation of the turbulence kinetic energy|Rate of dissipation of the turbulence kinetic energy]]
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* [[Introduction to turbulence/Turbulence kinetic energy#Kinetic energy of the mean motion and production of turbulence|Kinetic energy of the mean motion and production of turbulence]]
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* [[Introduction to turbulence/Turbulence kinetic energy#Transport or divergence terms|Transport or divergence terms]]
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* [[Introduction to turbulence/Turbulence kinetic energy#Intercomponent transfer of energy|Intercomponent transfer of energy]]
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== [[Introduction to turbulence/Stationarity and homogeneity|Stationarity and homogeneity]] ==
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* [[Introduction to turbulence/Stationarity and homogeneity#Processes statistically stationary in time|Processes statistically stationary in time]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Autocorrelation|Autocorrelation]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Autocorrelation coefficient|Autocorrelation coefficient]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Integral scale|Integral scale]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Temporal Taylor microscale|Temporal Taylor microscale]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Time averages of stationary processes|Time averages of stationary processes]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Bias and variability of time estimators|Bias and variability of time estimators]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Random fields of space and time|Random fields of space and time]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Multi-point statistics in homogeneous field|Multi-point statistics in homogeneous field]]
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* [[Introduction to turbulence/Stationarity and homogeneity#Spatial integral and Taylor microscales|Spatial integral and Taylor microscales]]
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== [[Introduction to turbulence/Homogeneous turbulence|Homogeneous turbulence]] ==
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* [[Introduction to turbulence/Homogeneous turbulence#A first look at decaying turbulence |A first look at decaying turbulence ]]
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* [[Introduction to turbulence/Homogeneous turbulence#The dissipation equation and turbulence modelling |The dissipation equation and turbulence modelling ]]
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* [[Introduction to turbulence/Homogeneous turbulence#A second look at simple shear flow turbulence |A second look at simple shear flow turbulence ]]
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== [[Introduction to turbulence/Free turbulent shear flows|Free turbulent shear flows]] ==
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* [[Introduction to turbulence/Free turbulent shear flows#Introduction|Introduction]]
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* [[Introduction to turbulence/Free turbulent shear flows#The averaged equations|The averaged equations]]
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* [[Introduction to turbulence/Free turbulent shear flows#Two-dimensional Turbulent Jets|Two-dimensional Turbulent Jets]]
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* [[Introduction to turbulence/Free turbulent shear flows#Other free shear flows|Other free shear flows]]
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== [[Reynolds averaged equations and the turbulence closure problem]] ==
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== [[Introduction to turbulence/Wall bounded turbulent flows|Wall bounded turbulent flows]] ==
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* [[Reynolds averaged equations and the Turbulence Closure Problem#The equations governing the instantaneous fluid motions | The equations governing the instantaneous fluid motions ]]  
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* [[Introduction to turbulence/Wall bounded turbulent flows#Introduction|Introduction]]
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* [[Reynolds averaged equations and the Turbulence Closure Problem#Equations for the average velocity | Equations for the average velocity ]]
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* [[Introduction to turbulence/Wall bounded turbulent flows#Review of laminar boundary layers|Review of laminar boundary layers]]
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* [[Reynolds averaged equations and the Turbulence Closure Problem#The turbulence problem | The turbulence problem ]]
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* [[Introduction to turbulence/Wall bounded turbulent flows#The "outer" turbulent boundary layer|The "outer" turbulent boundary layer]]
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* [[Turbulence: Origins of turbulence | Origins of turbulence ]]
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* [[Introduction to turbulence/Wall bounded turbulent flows#The “inner” turbulent boundary layer|The “inner” turbulent boundary layer]]
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* [[The importance of non-linearity #The importance of non-linearity | The importance of non-linearity ]]
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* [[Introduction to turbulence/Wall bounded turbulent flows#The viscous sublayer|The viscous sublayer]]
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* [[The Turbulence Closure problem and the Eddy Viscosity #The Turbulence Closure problem and the Eddy Viscosity |The Turbulence Closure problem and the Eddy Viscosity ]]
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* [[The Reynolds Stress Equations #The Reynolds Stress Equations |The Reynolds Stress Equations ]]
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== [[Turbulence kinetic energy]] ==
 
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* [[The Fluctuating Kinetic Energy #The Fluctuating Kinetic Energy |The Fluctuating Kinetic Energy ]]
 
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* [[The Rate of Dissipation of the Turbulence Kinetic Energy #The Rate of Dissipation of the Turbulence Kinetic Energy |The Rate of Dissipation of the Turbulence Kinetic Energy ]]
 
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== [[Stationarity and homogeneity]] ==
 
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== [[Homogeneous turbulence]] ==
 
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== [[Free turbulent shear flows]] ==
 
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== [[Wall bounded turbulent flows]] ==
 
{{Turbulence credit wkgeorge}}
{{Turbulence credit wkgeorge}}
[[Category: Turbulence]]
[[Category: Turbulence]]

Latest revision as of 12:34, 15 March 2012

Introduction to turbulence
Nature of turbulence
Statistical analysis
Reynolds averaged equation
Turbulence kinetic energy
Stationarity and homogeneity
Homogeneous turbulence
Free turbulent shear flows
Wall bounded turbulent flows
Study questions

... template not finished yet!


This section is currently undergoing heavy reorganization and editing. Please excuse any errors or unfinished parts. --Jola 07:01, 21 June 2007 (MDT)

Nature of turbulence

Statistical analysis

Reynolds averaged equations and the turbulence closure problem

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.

My wiki