Table of Contents

Cover image

Title page

Copyright

Dedication

Preface

Part 1: Fundamentals

1: Introduction

Abstract

1.1 Aeroacoustics of low Mach number flows

1.2 Sound waves and turbulence

1.3 Quantifying sound levels and annoyance

1.4 Symbol and analysis conventions used in this book

2: The equations of fluid motion

Abstract

2.1 Tensor notation

2.2 The equation of continuity

2.3 The momentum equation

2.4 Thermodynamic quantities

2.5 The role of vorticity

2.6 Energy and acoustic intensity

2.7 Some relevant fluid dynamic concepts and methods

3: Linear acoustics

Abstract

3.1 The acoustic wave equation

3.2 Plane waves and spherical waves

3.3 Harmonic time dependence

3.4 Sound generation by a small sphere

3.5 Sound scattering by a small sphere

3.6 Superposition and far field approximations

3.7 Monopole, dipole, and quadrupole sources

3.8 Acoustic intensity and sound power output

3.9 Solution to the wave equation using Green's functions

3.10 Frequency domain solutions and Fourier transforms

4: Lighthill's acoustic analogy

Abstract

4.1 Lighthill's analogy

4.2 Limitations of the acoustic analogy

4.3 Curle's theorem

4.4 Monopole, dipole, and quadrupole sources

4.5 Tailored Green's functions

4.6 Integral formulas for tailored Green's functions

4.7 Wavenumber and Fourier transforms

5: The Ffowcs Williams and Hawkings equation

Abstract

5.1 Generalized derivatives

5.2 The Ffowcs Williams and Hawkings equation

5.3 Moving sources

5.4 Sources in a free stream

5.5 Ffowcs Williams and Hawkings surfaces

5.6 Incompressible flow estimates of acoustic source terms

6: The linearized Euler equations

Abstract

6.1 Goldstein's equation

6.2 Drift coordinates

6.3 Rapid distortion theory

6.4 Acoustically compact thin airfoils and the Kutta condition

6.5 The Prantl–Glauert transformation

7: Vortex sound

Abstract

7.1 Theory of vortex sound

7.2 Sound from two line vortices in free space

7.3 Surface forces in incompressible flow

7.4 Aeolian tones

7.5 Blade vortex interactions in incompressible flow

7.6 The effect of angle of attack and blade thickness on unsteady loads

8: Turbulence and stochastic processes

Abstract

8.1 The nature of turbulence

8.2 Averaging and the expected value

8.3 Averaging of the governing equations and computational approaches

8.4 Descriptions of turbulence for aeroacoustic analysis

9: Turbulent flows

Abstract

9.1 Homogeneous isotropic turbulence

9.2 Inhomogeneous turbulent flows

Part 2: Experimental approaches

10: Aeroacoustic testing and instrumentation

Abstract

10.1 Aeroacoustic wind tunnels

10.2 Wind tunnel acoustic corrections

10.3 Sound measurement

10.4 The measurement of turbulent pressure fluctuations

10.5 Velocity measurement

11: Measurement, signal processing, and uncertainty

Abstract

11.1 Limitations of measured data

11.2 Uncertainty

11.3 Averaging and convergence

11.4 Numerically estimating fourier transforms

11.5 Measurement as seen from the frequency domain

11.6 Calculating time spectra and correlations

11.7 Wavenumber spectra and spatial correlations

12: Phased arrays

Abstract

12.1 Basic delay and sum processing

12.2 General approach to array processing

12.3 Deconvolution methods

12.4 Correlated sources and directionality

Part 3: Edge and boundary layer noise

13: The theory of edge scattering

Abstract

13.1 The importance of edge scattering

13.2 The Schwartzschild problem and its solution based on the Weiner Hopf method

13.3 The effect of uniform flow

13.4 The leading edge scattering problem

14: Leading edge noise

Abstract

14.1 The compressible flow blade response function

14.2 The acoustic far field

14.3 An airfoil in a turbulent stream

14.4 Blade vortex interactions in compressible flow

15: Trailing edge and roughness noise

Abstract

15.1 The origin and scaling of trailing edge noise

15.2 Amiet's trailing edge noise theory

15.3 The method of Brooks, Pope, and Marcolini [8]

15.4 Roughness noise

Part 4: Rotating blades and duct acoustics

16: Open rotor noise

Abstract

16.1 Tone and broadband noise

16.2 Time domain prediction methods for tone noise

16.3 Frequency domain prediction methods for tone noise

16.4 Broadband noise from open rotors

16.5 Haystacking of broadband noise

16.6 Blade vortex interactions

17: Duct acoustics

Abstract

17.1 Introduction

17.2 The sound in a cylindrical duct

17.3 Duct liners

17.4 The Green's function for a source in a cylindrical duct

17.5 Sound power in ducts

17.6 Nonuniform mean flow

17.7 The radiation from duct inlets and exits

18: Fan noise

Abstract

18.1 Sources of sound in ducted fans

18.2 Duct mode amplitudes

18.3 The cascade blade response function

18.4 The rectilinear model of a rotor or stator in a cylindrical duct

18.5 Wake evolution in swirling flows

18.6 Fan tone noise

18.7 Broadband fan noise

Appendix A: Nomenclature

A.1 Symbol conventions, symbol modifiers, and Fourier transforms

A.2 Symbols used

Appendix B: Branch cuts

Appendix C: The cascade blade response function

Index

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