CONTENTS 



B. Turbulent Flow 75 



Galen B. Schubauer, Fluid Mechanics Section, National 

 Bureau of Standards, Washington, D. C. 

 C. M. Tchen, Aerodynamics Section, National Bureau of 

 Standards, Washington, D. C. 



Chapter 1. Introduction 



1. Subject Treatment 75 



2. Nature of Turbulent Flow 76 



3. Diffusiveness of Turbulence 79 



Chapter 2. General Hydrodynamical Equations for the Turbu- 

 lent Motion of a Compressible Fluid 



4. Equations of Continuity and Momentum 80 



5. Equation of Kinetic Energy 83 



6. Equation of Energy and Enthalpy 85 



Chapter 3. Turbulent Boundary Layer of a Compressible Fluid 



7. Introduction 87 



8. Fundamental Equations of Motion of a Compressible Bound- 

 ary Layer 89 



9. Relationships between Velocity, Pressure, and Temperature 

 Distributions 90 



10. Phenomena of Transport of Properties in a Turbulent Fluid 97 



11. Reynolds Analogy between Heat Transfer and Skin Friction 104 



12. Basis of Skin Friction Theories 107 



13. Empirical Laws of Skin Friction 113 



14. Comparison between Experiments and Theories 116 



Chapter 4- General Treatment of Incompressible Mean 

 Flow along Walls 



15. Power Laws 119 



16. Wall Law and Velocity-Defect Law 122 



17. Logarithmic Formulas 124 



18. Smooth Wall Incompressible Skin Friction Laws 127 



19. Effect of Pressure Gradient 129 



20. Equilibrium Boundary Layers According to Clauser 135 



21. Law of the Wake According to Coles 139 



22. Mixing Length and Eddy Viscosity in Boundary Layer Flows 143 



23. Effect of Roughness 147 



24. Integral Methods for Calculating Boundary Layer Develop- 

 ment 153 



25. Three-Dimensional Effects 156 



Chapter 5. Free Turbulent Flows 



26. Types and General Features 158 



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