1;Cover;1 2;Rotating Flow;2 3;Copyright;5 4;Foreword;6 5;Contents;8 6;Preface;12 7;About the Author;16 8;Notation and Units;18 9;Chapter 1. Introduction to Rotating Flow;26 9.1;1.1. Introduction;26 9.2;1.2. Geometric Configurations;28 9.3;1.3. Geophysical Flow;32 9.4;1.4. Conclusions;39 9.5;References;40 10;Chapter 2. Laws of Motion;42 10.1;2.1. Introduction;42 10.2;2.2. Navier-Stokes Equations;44 10.3;2.3. Continuity Equation;56 10.4;2.4. Solution of the Governing Equations of Fluid Mechanics;58 10.5;2.5. Equations of Motion in a Rotating Coordinate System;58 10.6;2.6. Dimensional Analysis and Similarity;63 10.7;2.7. Conclusions;76 10.8;References;76 11;Chapter 3. Vorticity and Rotation;78 11.1;3.1. Introduction;78 11.2;3.2. Vortex Flow;83 11.3;3.3. Taylor-Proudman Theorem;100 11.4;3.4. Conclusions;103 11.5;References;103 12;Chapter 4. Introduction to Rotating Disc Systems;106 12.1;4.1. Introduction;106 12.2;4.2. The Free Disc;108 12.3;4.3. A Rotating Fluid above a Stationary Disc;122 12.4;4.4. Turbulent Flow over a Single Disc;127 12.5;4.5. Impinging Flow on a Rotating Disc;148 12.6;4.6. Conclusions;150 12.7;References;151 13;Chapter 5. Rotor-Stator Disc Cavity Flow;152 13.1;5.1. Introduction;152 13.2;5.2. Enclosed Rotor-Stator Disc Systems;155 13.3;5.3. Inviscid Equations of M;163 13.4;5.4. Rotor-Stator with Radial Outflow;164 13.5;5.5. Rotor-Stator with Radial Inflow;173 13.6;5.6. Rotor-Stator with Stationary Shroud and Radial Outflow;177 13.7;5.7. Rotor-Stator with Stationary Shroud and External Flow;183 13.8;5.8. Static and Rotating Protrusions;190 13.9;5.9. Thrust on a Disc;193 13.10;5.10. Conclusions;197 13.11;References;197 14;Chapter 6. Rotating Cylinders, Annuli, and Spheres;202 14.1;6.1. Introduction;202 14.2;6.2. Rotating Cylinder Flow;204 14.3;6.3. Rotating Couette Flow;210 14.4;6.4. Flow Instabilities and Taylor Vortex Flow;218 14.5;6.5. Journal Bearings;228 14.6;6.6. Rotating Cylinders and Spheres with Cross-flow;261 14.7;6.7. Conclusions;269 14.8;References;269 15;Chapter 7. Rotating Cavities;274 15.1;7.1. Introduction;274 15.2;7.2. Boundary Layer Approximation for Rotating Cavity Flows;285 15.3;7.3. Linear Ekman Layer Equations;290 15.4;7.4. Integral Equations;296 15.5;7.5. Modeling of Selected Rotating Cavity Applications;300 15.6;7.6. Conclusions;320 15.7;References;321 16;Chapter 8. Atmospheric and Oceanic Circulations;324 16.1;8.1. Introduction;324 16.2;8.2. Atmospheric Circulation;347 16.3;8.3. Pressure Systems and Fronts;360 16.4;8.4. Intense Atmospheric Vortices;376 16.5;8.5. Oceanic Circulation;384 16.6;8.6. Conclusions;390 16.7;References;390 17;Appendix A: Properties of Air;392 18;Appendix B: The Vector Cross Product;398 19;Appendix C: Glossary;402 20;Index;408 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 fields - Written by world-leading authority on rotating flow, Peter Childs, making this a unique and authoritative work - Covers 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 principles - Provides 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 types - Concise summaries of the results of important research and lists of references included to direct readers to significant further resources

Peter Childs, FREng, is the Professorial Lead in Engineering Design and Innovation Design Engineering. He is Professor at Large, Co-Director of the Energy Futures Lab, and was Founding Head of the Dyson School of Design Engineering at Imperial College London. His general interests include creativity, innovation, design, fluid flow and heat transfer, energy and robotics. Prior to his current post at Imperial, he was director of the Rolls-Royce supported University Technology Centre for Aero-Thermal Systems, director of InQbate and professor at the University of Sussex. He has contributed to over 200 refereed journal and conference papers, and several books including the Handbook on Mechanical Design Engineering (Elsevier, 2013, 2019) as well as temperature measurements and rotating flow. He has been principal or co-investigator on contracts totaling over £100 million. He is Editor of the Journal of Power and Energy, Professor of Excellence at MD-H, Berlin, and Chairperson at BladeBUG Ltd and Founder Director and Chairperson at QBot Ltd. Unterstützte Lesegerätegruppen: PC/MAC/eReader/Tablet