Details

Title: The fluid dynamic basis for actuator disc and rotor theories. — Revised second edition.
Creators: Kuik Gijs van
Organization: IOS Press.
Collection: Электронные книги зарубежных издательств; Общая коллекция
Subjects: Fluid dynamics.; Actuators.; Rotors.; EBSCO eBooks
Document type: Other
File type: PDF
Language: English
Rights: Доступ по паролю из сети Интернет (чтение, печать, копирование)
Record key: on1336502840

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Table of Contents

  • Title Page
  • Preface
  • Reading guide
  • Acknowledgement
  • Nomenclature
  • More than a century of rotor research
    • Introduction
    • History of the actuator disc momentum theory
      • The British School
      • The German and Russian School
      • The contribution of Joukowsky and Betz to the vortex theory of propellers
      • The Betz-Joukowsky limit for wind turbines
    • From actuator disc to rotor aerodynamics
    • Why this book?
  • Force fields in fluid dynamics
    • Introduction
    • The equation of motion and the coordinate systems
    • Equivalence of the kinematic and dynamic methods
    • Conservative and non-conservative force fields
    • Force fields and energy
      • Work done by force fields
      • Choice of reference system
      • Work done by non-conservative force fields
      • Pressure as a conservative force in momentum balances
      • Pressure interpreted as potential energy
    • Definition of (non-)conservative forces as used in this book
    • Evaluation
  • Force fields and vorticity
    • Introduction
    • The role of Helmholtz's conservation laws
    • Generation of actuator disc vorticity
    • Convection of actuator disc vorticity
    • Convection of rotor vorticity
    • Evaluation
  • The disc as representation of a rotor
    • Introduction
    • Loads and power of a Joukowsky disc and rotor
      • The actuator disc equation
      • The rotor blade
      • Power and thrust coefficients for Joukowsky discs / rotors
    • The transition from a B-bladed rotor to the Joukowsky disc
    • Comparison of the flow fields of a disc and rotor
    • Evaluation
  • Analysis of Froude's actuator disc flows
    • Introduction
    • One-dimensional momentum theory
      • The momentum balance
      • Momentum theory without conservative forces
      • Momentum theory including conservative forces, applied to a stream annulus
    • Numerical assessment of Froude's actuator disc performance
      • The model and accuracy of computation
      • Comparison of calculated performance with momentum theory results
      • Comparison with experimental results
    • Flow details
      • Flow and pressure patterns
      • Properties of the wake boundary
      • Pressure and velocity at the disc
      • Pressure at the axis
    • Evaluation
  • Analysis of Joukowsky's actuator disc flows
    • Introduction
    • Two-dimensional momentum theory
      • The equations for a Joukowsky disc
      • The disc load
      • The far wake outside the vortex core
      • The vortex core
      • The momentum, mass and energy balance
    • Limit values of the Joukowsky momentum theory
      • Results for , 0.
      • Propeller discs with a wake of constant radius or with wake expansion
      • The static disc or disc in hover
      • The maximum efficiency of a wind turbine disc
      • The efficiency of propeller discs
    • Numerical assessment of flow details
      • The numerical model
      • Comparison of wind turbine and propeller discs at =1
      • Comparison of a wind turbine and propeller disc with similar wake expansion
    • The role of swirl and conservative pressure distributions
    • Comparison of the Joukowsky and Betz-Goldstein solutions
    • Evaluation
  • The velocity distribution at the disc
    • Introduction
    • The absolute velocity
      • Wind turbine flows
      • Propeller flows
      • Explanation of the (non-)uniformity of vs
    • The axial velocity
      • Momentum balance per annulus
      • An engineering model for the axial velocity at a high wind turbine disc
    • The radial velocity
    • Evaluation
  • Special topics: cons. loads at a thick disc & blade tip
    • Introduction
    • The generation of a Rankine vortex
      • Wu's actuator disc equation
      • The force field required to generate a Rankine vortex
      • Interpretation of the radial component of the load
      • Numerical assessment of the impact of the radial load
    • The rotor blade
      • Inboard motion of a tip vortex of a wind turbine blade
      • Side step: conservative, spanwise load on an elliptic wing
      • Conservative and non-conservative blade loads
      • Experimental and numerical results for a model wind turbine rotor
      • Determination of the conservative tip load
      • The tip vortex trajectory
    • The role of conservative forces
    • Evaluation
  • From disc theory to BEM models: the tip correction
    • Introduction
    • Development of the tip correction
      • In BEM methods
      • In actuator disc, actuator line and lifting line methods
    • The distribution of the axial velocity
      • The radial distribution
      • The azimuthal distribution: averaged or at blade position
      • The azimuthal distribution: decambering of aerofoils
    • The radial distribution of blade
      • The aspect ratio as a measure for tip effects
      • Conservative tip load and the tip vortex trajectory
    • Evaluation
  • Epilogue
  • Vector expressions in cylindrical coordinates
  • Balance of angular momentum
  • The blade load expressed as pressure distribution
  • The potential flow model
    • Components of the model
    • Convergence scheme
    • Verification, sensitivity and accuracy
  • Bibliography
  • Index

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