CONTENTS 



27. Laws of Mean Spreading and Decay 159 



28. General Form and Structure 163 



29. Transport Processes in Free Turbulent Flow 168 



30. Velocity Distribution Formulas for Jets and Wakes 172 



31. Effect of Density Differences and Compressibility on Jets 

 with Surrounding Air Stationary 176 



32. Effect of Axial Motion of Surrounding Air on Jets 179 



Chapter 6. Turbulent Structure of Shear Flows 



33. The Nature of the Subject 184 



34. References on Structure of Shear Turbulence 185 



35. Cited References 190 



C. Statistical Theories of Turbulence 196 



C. C. Lin, Department of Mathematics, Massachusetts In- 

 stitute of Technology, Cambridge, Massachusetts 



Chapter 1. Basic Concepts 



1. Introduction 196 



2. The Mean Flow and the Reynolds Stresses 197 



3. Frequency Distributions and Statistical Averages 198 



4. Homogeneous Fields of Turbulence 200 



5. Conventional Approach to the Statistical Theory of Turbu- 

 lence 201 



Chapter 2. Mathematical Formulation of the Theory of 

 Homogeneous Turbulence 



6. Kinematics of Homogeneous Isotropic Turbulence. Correla- 

 tion Theory 202 



7. Dynamics of Isotropic Turbulence 208 



8. The Spectral Theory of Isotropic Turbulence 210 



9. Spectral Analysis in One Dimension 214 



10. Spectral Analysis in Three Dimensions 216 



11. General Theory of Homogeneous Anisotropic Turbulence 218 



Chapter 3. Physical Aspects of the Theory of Homogeneous 

 Turbulence 



12. Large Scale Structure of Turbulence 219 



13. Small Scale Structure of Turbulence. Kolmogoroff's Theory 221 



14. Considerations of Similarity 225 



15. The Process of Decay 230 



16. The Quasi-Gaussian Approximation 236 



17. Hypotheses on Energy Transfer 238 



Chapter 4- Turbulent Diffusion and Transfer 



18. Diffusion by Continuous Movements 240 



19. Analysis Involving More Than One Particle 243 



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