Rotating Disc Cavity Flow and Heat Transfer

1. Auflage 2026
ISBN: 978-1-394-34327-0
Verlag: John Wiley & Sons Inc

Buch, Englisch, 272 Seiten, Format (B × H): 178 mm x 255 mm, Gewicht: 630 g

Reihe: Wiley-ASME Press Series

A definitive guide to mastering flow and heat transfer in rotating disc systems for aerospace and turbomachinery applications

Rotating Disc Cavity Flow and Heat Transfer by John W. Chew, Professor of Mechanical Engineering at the University of Surrey and internationally recognized authority on turbomachinery internal air systems, consolidates over four decades of expertise in fluid mechanics and heat transfer in rotating environments. The book addresses one of the most complex challenges in aerospace and power generation: predicting and controlling flow and thermal behavior inside rotating disc cavities. Prof. Chew distills cutting-edge analytical, computational, and experimental knowledge into practical methods engineers and researchers can apply directly to design and analysis.

This resource is organized into two parts. The first details the fundamental theory, analytical solutions, and computational methods – ranging from boundary layer models to advanced CFD approaches – across laminar, transitional, and turbulent regimes. The second presents a systematic classification of rotating cavity flows in turbomachinery, including rotor-stator systems, corotating discs, and rim sealing applications, supported by many examples and extensive comparisons with experimental data. Together, they provide a unique, authoritative reference point for both academic research and industrial practice.

Key features include: - Comprehensive treatment of analytical and computational models with clear explanations of their assumptions, limits, and applications
- Formulae, correlations, and graphs designed for direct use in engineering design and performance evaluation
- Critical comparisons of theoretical and computational predictions against experimental results, highlighting best practices for model validation
- Structured coverage of practical cases in aeroengines, power generation gas turbines, and industrial compressors
- Modular chapter design enabling selective reading tailored to research or applied engineering needs

Rotating Disc Cavity Flow and Heat Transfer is essential for practicing engineers, researchers, and designers engaged in turbomachinery internal air systems, as well as graduate students specializing in fluid mechanics, heat transfer, or aerospace propulsion. Readers will gain both a consolidated knowledge base and actionable engineering guidance, making it a critical addition to professional and academic libraries.

Autoren/Hrsg.

Chew, John W.

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Technische Wissenschaften Energietechnik | Elektrotechnik Energietechnik & Elektrotechnik

Inhaltsverzeichnis

Preface xi

Frequently Used Notation xiii

1 Introduction 1

References 4

Part I Theory and Modelling Methods 7

2 Essential Theory 9

2.1 Mass, Momentum and Energy Balances 9

2.1.1 Mass Conservation 11

2.1.2 Angular Momentum 12

2.1.3 Axial and Radial Momentum 13

2.1.4 Energy Conservation 14

2.1.5 Total Temperature and Total Pressure 16

2.1.6 Euler Work Equation and Rothalpy 17

2.1.7 Navier–Stokes Equations 17

2.1.8 Vorticity and Q-Criterion 19

2.2 Rotating Coordinate Systems 20

2.2.1 Governing Differential Equations 20

2.2.2 Relative Total Temperature and Pressure 21

2.2.3 Rotary Stagnation Temperature and Pressure 22

2.3 Dimensional Analysis 23

2.3.1 Nondimensional Governing Equations 23

2.3.2 Buckingham Pi Theorem 26

2.4 Reynolds-Averaged Equations and Eddy Viscosity 28

2.5 Heat Transfer 31

2.5.1 Forced Convection 31

2.5.2 Centrifugal Free Convection 32

2.5.3 Similarity Between Heat and Momentum Transfer 35

2.6 Rotating Waves and Fourier Analysis 38

2.7 Concluding Remark 40

References 41

3 Analytical Solutions for Inviscid and Laminar Flow 43

3.1 Exact Solutions of the Navier–Stokes Equations 43

3.1.1 One-Dimensional Solutions (Free, Forced and Mixed Vortices) 43

3.1.2 Axisymmetric Laminar Viscous Flow 45

3.1.2.1 The Free Rotating Disc 45

3.1.2.2 Rotating Flow Above a Stationary Disc 47

3.1.2.3 Flow Between Infinite Discs 48

3.2 Axisymmetric Laminar Boundary Layer Flow 49

3.3 Further Approximate Solutions 51

3.3.1 Steady Inviscid Flow 52

3.3.2 Laminar Ekman Boundary Layers 53

3.3.3 Laminar Ekman Layer Heat Transfer 56

3.3.4 Inertial Waves 58

3.3.5 Acoustic Waves 60

3.4 Concluding Remark 62

References 63

4 Laminar–Turbulent Transition 65

4.1 The Free Disc 65

4.2

Über Autor(innen)

John W. Chew, Ph.D., CEng., FRAeS, FASME is Emeritus Professor of Mechanical Engineering at the University of Surrey, UK. and was previously a Corporate Specialist in Aeroelasticity and Heat Transfer at Rolls-Royce plc, Derby, UK. An internationally recognized leader in turbomachinery internal air systems, he has pioneered research on computational and mathematical modeling of rotating flows for over 40 years. As an academic he has advised industry on bespoke design methods, published extensively, regularly served as organizer at the annual ASME TURBO EXPO, and delivered invited lectures around the world. He is also Editor of the Proceedings of the IMechE Journal of Mechanical Engineering Science.