Transport and Coherent Structures in Wall Turbulence [Hardcover]

Wall bounded turbulent flows are of major importance in industrial and environmental fluid mechanics. The structure of the wall turbulence is intrinsically related to the coherent structures that play a fundamental role in the transport process. The comprehension of their regeneration mechanism is indispensable for the development of efficient strategies in terms of drag control and near wall turbulence management. This book provides an up-to-date overview on the progress made in this specific area in recent years.

INTRODUCTION xi

MAIN NOTATIONS xv

CHAPTER 1. GENERAL POINTS 1

1.1. Introduction 1

1.2. General equations 2

1.2.1. Eulerian relations 2

1.3. Notations 5

1.4. Reynolds equations 5

1.5. Exact relations in a fully developed turbulent channel flow 7

1.6. Equations for a turbulent boundary layer 12

1.7. Scales in a wall-bounded turbulent flow 14

1.8. Eddy viscosity closures 15

1.9. Turbulent intensities of the velocity components 32

1.10. Fine structure 38

1.11. Vorticity 42

1.11.1. Characteristics of vorticity field near to the wall 45

1.11.2. Turbulent intensities of the fluctuating vorticity components 52

CHAPTER 2. TRANSPORT PHENOMENA IN WALL TURBULENCE 55

2.1. Introduction 55

2.2. Transport equations 56

2.3. Models of return to isotropy 63

2.4. Transport of turbulent kinetic energy 66

2.5. Transport of the velocity gradient 73

2.6. Transport of the Reynolds stress -uv  75

2.7. Effects of the Reynolds number on transport 77