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Title Page 3 Contents 11 Preface 7 Reading guide 8 Acknowledgements 9 Nomenclature 15 1. More than a century of rotor research 19 1.1. Introduction 19 1.2. History of the actuator disc momentum theory 19 1.2.1. The British School 20 1.2.2. The German and Russian School 21 1.2.3. The contribution of Joukowsky and Betz to the vortex theory of propellers 21 1.2.4. The Betz-Joukowsky limit for wind turbines 23 1.3. From actuator disc to rotor aerodynamics 23 1.4. Why this book? 27 2. Force fields in fluid dynamics 31 2.1. Introduction 31 2.2. The equation of motion and the coordinate systems 31 2.3. Equivalence of the kinematic and dynamic methods 33 2.4. Conservative and non-conservative force fields 35 2.5. Force fields and energy 37 2.5.1. Work done by force fields 37 2.5.2. Choice of reference system 39 2.5.3. Pressure as a conservative force in momentum balances 40 2.5.4. Pressure interpreted as potential energy 40 2.6. Definition of (non-)conservative forces as used in this book 41 2.7. Evaluation 41 3. Force fields and vorticity 43 3.1. Introduction 43 3.2. The role of Helmholtz's conservation laws 43 3.3. Generation of actuator disc vorticity 45 3.4. Convection of actuato

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