Introduction to turbulence
From CFD-Wiki
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
- The turbulent world around us
- What is turbulence?
- Why study turbulence?
- The cost of our ignorance
- What do we really know for sure?
Statistical analysis
- Ensemble average
- Probability
- Multivariate random variables
- Estimation from a finite number of realizations
- Generalization to the estimator of any quantity
Reynolds averaged equations and the turbulence closure problem
- Equations governing instantaneous fluid motion
- Equations for the average velocity
- The turbulence problem
- Origins of turbulence
- Importance of non-linearity
- Turbulence closure problem and eddy viscosity
- Reynolds stress equations
Turbulence kinetic energy
- Fluctuating kinetic energy
- Rate of dissipation of the turbulence kinetic energy
- Kinetic energy of the mean motion and production of turbulence
- Transport or divergence terms
- Intercomponent transfer of energy
Stationarity and homogeneity
- Processes statistically stationary in time
- Autocorrelation
- Autocorrelation coefficient
- Integral scale
- Temporal Taylor microscale
- Time averages of stationary processes
- Bias and variability of time estimators
- Random fields of space and time
- Multi-point statistics in homogeneous field
- Spatial integral and Taylor microscales
Homogeneous turbulence
- A first look at decaying turbulence
- The dissipation equation and turbulence modelling
- A second look at simple shear flow turbulence
Free turbulent shear flows
Wall bounded turbulent flows
1 Introduction 2 Review of laminar boundary layers 3 The "outer" turbulent boundary layer 4 The “inner” turbulent boundary layer 5 The viscous sublayer 5.1 The linear sublayer 5.2 The sublayers of the constant stress region 5.3 The inertial sublayer
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.