The Fluid Dynamic Basis for Actuator Disc and Rotor Theories

Revised Second Edition

G.A.M. van Kuik, Gijs van Kuik

• Publisher: SAGE Publications Ltd
• Year: 2022
• Print ISBN: 9781643682785
• eBook ISBN: 9781643682792
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Aerodynamics

The first rotor performance predictions were published by Joukowsky exactly 100 years ago. Although a century of research has expanded the knowledge of rotor aerodynamics enormously, and modern computer power and measurement techniques now enable detailed analyses that were previously out of reach, the concepts proposed by Froude, Betz, Joukowsky and Glauert for modelling a rotor in performance calculations are still in use today, albeit with modifications and expansions. This book is the result of the author?s curiosity as to whether a return to these models with a combination of mathematics, dedicated computations and wind tunnel experiments could yield more physical insight and answer some of the old questions still waiting to be resolved. Although most of the work included here has been published previously, the book connects the various topics, linking them in a coherent storyline. "The Fluid Dynamic Basis for Actuator Disc and Rotor Theories" was first published in 2018. This Revised Second Edition (2022) will be of interest to those working in all branches of rotor aerodynamics – wind turbines, propellers, ship screws and helicopter rotors. It has been written for proficient students and researchers, and reading it will demand a good knowledge of inviscid (fluid) mechanics. Jens Nørkær Sørensen, DTU, Technical University of Denmark: "(…) a great piece of work, which in a consistent way highlights many of the items that the author has worked on through the years. All in all, an impressive contribution to the classical work on propellers/wind turbines." Peter Schaffarczyk, Kiel University of Applied Sciences, Germany: "(…) a really impressive piece of work!" Carlos Simão Ferreira, Technical University Delft: "This is a timely book for a new generation of rotor aerodynamicists from wind turbines to drones and personal air-vehicles. In a time where fast numerical solutions for aerodynamic design are increasingly available, a clear theoretical and fundamental formulation of the rotor-wake problem will help professionals to evaluate the validity of their design problem. 'The Fluid Dynamic Basis for Actuator Disc and Rotor Theories' is a pleasure to read, while the structure, text and figures are just as elegant as the theory presented." The cover shows 'The Red Mill', by Piet Mondriaan, 1911, collection Gemeentemuseum Den Haag. Cover image: © 2022 Mondrian/Holtzman Trust.

Table of contents

• Title Page
• Preface
• Reading guide
• Acknowledgement
• Nomenclature
• More than a century of rotor research
• Force fields in fluid dynamics
• Force fields and vorticity
• The disc as representation of a rotor
• Analysis of Froude's actuator disc flows
• Analysis of Joukowsky's actuator disc flows
• The velocity distribution at the disc
• Special topics: cons. loads at a thick disc & blade tip
• From disc theory to BEM models: the tip correction
• Epilogue
• Vector expressions in cylindrical coordinates
• Balance of angular momentum
• The blade load expressed as pressure distribution
• The potential flow model
• Bibliography
• Index