Rotating Flow

Author： Childs Peter R. N.

Publisher： Elsevier Science‎

Publication year： 2010

E-ISBN: 9780123820990

P-ISBN(Paperback): 9780123820983

P-ISBN(Hardback): 9780123820983

Subject： O35 hydrodynamics

Language： ENG

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Description

Rotating flow is critically important across a wide range of scientific, engineering and product applications, providing design and modeling capability for diverse products such as jet engines, pumps and vacuum cleaners, as well as geophysical flows. Developed over the course of 20 years’ research into rotating fluids and associated heat transfer at the University of Sussex Thermo-Fluid Mechanics Research Centre (TFMRC), Rotating Flow is an indispensable reference and resource for all those working within the gas turbine and rotating machinery industries. Traditional fluid and flow dynamics titles offer the essential background but generally include very sparse coverage of rotating flows—which is where this book comes in. Beginning with an accessible introduction to rotating flow, recognized expert Peter Childs takes you through fundamental equations, vorticity and vortices, rotating disc flow, flow around rotating cylinders and flow in rotating cavities, with an introduction to atmospheric and oceanic circulations included to help deepen understanding. Whilst competing resources are weighed down with complex mathematics, this book focuses on the essential equations and provides full workings to take readers step-by-step through the theory so they can concentrate on the practical applications.

A detailed yet accessible introduction to rotating flows, illustrating the differences between flows where rotation is significant and highlighting the non-intuitive natur

Chapter

Chapter 1. Introduction to Rotating Flow

1.1. Introduction

1.2. Geometric Configurations

1.3. Geophysical Flow

1.4. Conclusions

References

Chapter 2. Laws of Motion

2.1. Introduction

2.2. Navier-Stokes Equations

2.3. Continuity Equation

2.4. Solution of the Governing Equations of Fluid Mechanics

2.5. Equations of Motion in a Rotating Coordinate System

2.6. Dimensional Analysis and Similarity

2.7. Conclusions

References

Chapter 3. Vorticity and Rotation

3.1. Introduction

3.2. Vortex Flow

3.3. Taylor-Proudman Theorem

3.4. Conclusions

References

Chapter 4. Introduction to Rotating Disc Systems

4.1. Introduction

4.2. The Free Disc

4.3. A Rotating Fluid above a Stationary Disc

4.4. Turbulent Flow over a Single Disc

4.5. Impinging Flow on a Rotating Disc

4.6. Conclusions

References

Chapter 5. Rotor-Stator Disc Cavity Flow

5.1. Introduction

5.2. Enclosed Rotor-Stator Disc Systems

5.3. Inviscid Equations of M

5.4. Rotor-Stator with Radial Outflow

5.5. Rotor-Stator with Radial Inflow

5.6. Rotor-Stator with Stationary Shroud and Radial Outflow

5.7. Rotor-Stator with Stationary Shroud and External Flow

5.8. Static and Rotating Protrusions

5.9. Thrust on a Disc

5.10. Conclusions

References

Chapter 6. Rotating Cylinders, Annuli, and Spheres

6.1. Introduction

6.2. Rotating Cylinder Flow

6.3. Rotating Couette Flow

6.4. Flow Instabilities and Taylor Vortex Flow

6.5. Journal Bearings

6.6. Rotating Cylinders and Spheres with Cross-flow

6.7. Conclusions

References

Chapter 7. Rotating Cavities

7.1. Introduction

7.2. Boundary Layer Approximation for Rotating Cavity Flows

7.3. Linear Ekman Layer Equations

7.4. Integral Equations

7.5. Modeling of Selected Rotating Cavity Applications

7.6. Conclusions

References

Chapter 8. Atmospheric and Oceanic Circulations

8.1. Introduction

8.2. Atmospheric Circulation

8.3. Pressure Systems and Fronts

8.4. Intense Atmospheric Vortices

8.5. Oceanic Circulation

8.6. Conclusions

References

Appendix A: Properties of Air

Appendix B: The Vector Cross Product

Appendix C: Glossary

Index

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