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 nature of rotating flow fieldsWritten by world-leading authority on rotating flow, Peter Childs, making this a unique and authoritative workCovers the essential theory behind engineering applications such as rotating discs, cylinders, and cavities, with natural phenomena such as atmospheric and oceanic flows used to explain underlying principlesProvides a rigorous, fully worked mathematical account of rotating flows whilst also including numerous practical examples in daily life to highlight the relevance and prevalence of different flow typesConcise summaries of the results of important research and lists of references included to direct readers to significant further resources
Author(s): Peter R N Childs BSc.(Hons) D.Phil C.Eng F.I.Mech.E.
Edition: 1
Publisher: Butterworth-Heinemann
Year: 2010
Language: English
Pages: 415
Tags: Механика;Механика жидкостей и газов;
Cover......Page 1
Rotating Flow......Page 2
Copyright......Page 5
Foreword......Page 6
Contents......Page 8
Preface......Page 12
About the Author......Page 16
Notation and Units......Page 18
1.1. Introduction......Page 26
1.2. Geometric Configurations......Page 28
1.3. Geophysical Flow......Page 32
1.4. Conclusions......Page 39
References......Page 40
2.1. Introduction......Page 42
2.2. Navier-Stokes Equations......Page 44
2.3. Continuity Equation......Page 56
2.5. Equations of Motion in a Rotating Coordinate System......Page 58
2.6. Dimensional Analysis and Similarity......Page 63
References......Page 76
3.1. Introduction......Page 78
3.2. Vortex Flow......Page 83
3.3. Taylor-Proudman Theorem......Page 100
References......Page 103
4.1. Introduction......Page 106
4.2. The Free Disc......Page 108
4.3. A Rotating Fluid above a Stationary Disc......Page 122
4.4. Turbulent Flow over a Single Disc......Page 127
4.5. Impinging Flow on a Rotating Disc......Page 148
4.6. Conclusions......Page 150
References......Page 151
5.1. Introduction......Page 152
5.2. Enclosed Rotor-Stator Disc Systems......Page 155
5.3. Inviscid Equations of M......Page 163
5.4. Rotor-Stator with Radial Outflow......Page 164
5.5. Rotor-Stator with Radial Inflow......Page 173
5.6. Rotor-Stator with Stationary Shroud and Radial Outflow......Page 177
5.7. Rotor-Stator with Stationary Shroud and External Flow......Page 183
5.8. Static and Rotating Protrusions......Page 190
5.9. Thrust on a Disc......Page 193
References......Page 197
6.1. Introduction......Page 202
6.2. Rotating Cylinder Flow......Page 204
6.3. Rotating Couette Flow......Page 210
6.4. Flow Instabilities and Taylor Vortex Flow......Page 218
6.5. Journal Bearings......Page 228
6.6. Rotating Cylinders and Spheres with Cross-flow......Page 261
References......Page 269
7.1. Introduction......Page 274
7.2. Boundary Layer Approximation for Rotating Cavity Flows......Page 285
7.3. Linear Ekman Layer Equations......Page 290
7.4. Integral Equations......Page 296
7.5. Modeling of Selected Rotating Cavity Applications......Page 300
7.6. Conclusions......Page 320
References......Page 321
8.1. Introduction......Page 324
8.2. Atmospheric Circulation......Page 347
8.3. Pressure Systems and Fronts......Page 360
8.4. Intense Atmospheric Vortices......Page 376
8.5. Oceanic Circulation......Page 384
References......Page 390
Appendix A: Properties of Air......Page 392
Appendix B: The Vector Cross Product......Page 398
Appendix C: Glossary......Page 402
Index......Page 408
