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293

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294

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295

Subject Index

Anemometer: hot-wire,

Anemometry: acoustic, calibration, discharge, Doppler, experimental errors, frequency characteristics, heat transfer process, hot-wire,

geometries, instrumental distortion, laser, sensitivity, thermal compensation, thermal inertia, thin-film,

58, 65 75 88 68 90 83 78 72 67 65 66

118 80

71, 74 70 70 91

vibration effects, Archimedes forces, Autocorrelation:

coefficient,

110 50, 53-54

13, 20, 125

21

Birkhoff-Khinchin theorem, Boundary layer:

turbulent shear,

Central limit theorem, Closure, Convolution of spcr,114 Corcos model:

18-19

119

9 43

correction function, 266, 230 274-275 262 285 220 234 254-255 194 279

deflection-type transducer, filter properties, turbulent pressure field,

Corcos multiplication hypothesis, Corcos phase velocity, 252,

Correction function: Corcos model, cross spectrum for piston-type

transducer, 277-279

296

derivatives of velocity fluctuations,

for different field models, longitudinal components of

vorticity,

208 257

207

longitudinal velocity fluctua-tions, 201-202

phase of cross spectrum, 272 phase velocity, 276 power spectrum, 194-195,

263-264 pressure fluctuation field, 257 spectrum of velocity

fluctuations, 197 for velocity field, 210

Correlation: analysis, coefficient,

spatial, cross, frequency, function, moment,

space time,

spatial, and spectral function, of stationary processes, tensor, time,

103 14, 15,

108 16

126 123 27

12, 14, 44

32-39, 103, 237

13, -34, 52 31 24

136 13

of turbulent pressure fluctu­ations, 235

13 two-point tensor, Correlator:

acoustic, Cross spectrum:

analyzer, correction function, dimensionless, lateral, longitudinal,

measured,

model, phase velocity, space-frequency,

transducer, turbulent pressure

fluctuations, wavenumber-time,

105 32-33

105 266, 279 34, 225

221 128, 221,

271-273 33, 105,

124 274 251

35, 37, 39, 242

271

238 36-37, 242

Curie point,

Differential distribution, Diffuser,

Distortion: instrumental, of spectra,

Distribution: differential, Gaussian, integral, moment, multidimensional, normal,

Duhamel integral,

Ergodic processes: stationary,

Ergodic theorem, Ergodicity:

restricted, Excess coefficient,

Fluctuations: pressure, probability density, stationary, turbulent pressure, turbulent velocity, velocity,

Fourier integral, Fourier-Stjelties:

amplitudes, complex amplitudes, expansion, stochastic integral,

Fourier transform, Frequency spectrum,

Gaussian pulse, Grashof number,

Homogeneity,

Increments: orthogonal,

Inhomogeneity: spatial, temporal,

Isotropic turbulence,

Knudsen, Kolmogorov scale,

Laminar flows, Length microscale,

Mach number,

93

5 57

118 114-117

5 8 5 5

10 8

97

26 21 18 19 8

94, 110 11 25

111 16-17 9-10

25

30 28 27 27 23

23, 39

121 50, 53

17

27

17 17

44-45

54 16, 55

42 16

48, 50, 53, 57-60

Macroscale: integral,

Muffler: acoustic,

16

58

Navier-Stokes equations, 2, 42 Noise:

laboratory, 58 Nonstationary process:

with stationary increments, 22

Peclet number, Piezoceramic device, Piezoelectric effect, Power spectrum,

Prandtl number, Probability:

density, multidimensional, normalization, one-dimensional, two-dimensional,

distribution, joint, one-dimensional, two-dimensional,

51 93 92

24, 99-100, 102

51

5-6 17 11 11 10 3

12 17 17

Random variable: 3 continuous, 4 first moment, 6 higher order moment, 7 mathematical expectation, 7 statistical average, 5 vector and scalar, 13

Realization: 5, 18, 21 finite length uncertainties, 112 length, 113

Reynolds: equations ,42-43 number,

stress, Richardson number,

Scales: narrow-band, of time and length,

Schmidt number, Schwarz inequality, Settling chamber, Sequential analysis, Skewness factor, Spectral analysis, Spectral decomposition, Spectral density, Spectral function, Standard deviation, Stationarity:

deviation from,

16, 28, 44, 48,

50, 54-56, 62, 110

43-44 54

41 40 54 15 58 96 8

94 23

24, 39 31 7

17 22

297

Stationary fluctuations, 25 wavenumber characteristic, 139, 150, Stationary process: 156, 171,

in the Khinchin sense, 22 181, 264, Structure function, 23 282 Strouhal number, 50 x-shaped, 198

Turbulence: attention, 58

Taylor turbulence, 34-35, 45, experimental systems for, 56 110 isotropic, 44-45

Tensor: locally isotropic, 55 correlation, space-time, 136 scale, integral, 58 of rank two, 12 Taylor, 34-35, 45, two-point, 13 110 wavenumber-spectrum, 138 Turbulent eddies, 9

Transducer: Turbulent field: array, 174, 182- characteristic scales, 40

183, 186 energy distribution, 218 characteristic, 146 function, 31 circular, 166, 167- parameters, 48, 53

170 scaling, 46 cross spectrum for, 271 stationary, inhomogeneous, 36 deflection type, 158, 160, statistical models, 212, 219

162, 169- Turbulent flow: 170, 188- characterized, 1

191 mean, and velocity shear, 59-60 finite, 129, 217 microstructure, 9 frequency characteristic, 138 Turbulent fluctuations: influence function, 153, 156 exprimental uncertainties, 109 one-dimensional, 152, 154 Fourier analysis, 25 pair, 176 measurement, 46, 86, 129 piston type, 154, 165- modeling, 46

168, 184- power density, 52 187, 268, wavenumber-frequency spectrum, 30 275, 279- Turbulent pressure, 15, 111

282 Turbulent velocity: 15 pressure, 146 fluctuations, 16 rectangular, 164-166 two-point moment, 18 response analysis, 131 sensitivity, 139-140, Velocity fluctuations:

147-149, turbulent, 17 151, 153, Variance, 7 156, 161, Velocity fluctuatiOns, 9-10

smoothing action, 213 special configuration, 171 Wavenumber-frequency spectrum: 30, 35,41 transfer function, 141 two-dimensional, 29 two-dimensional, 163 Wavenumber spectrum: 28, 39 uncertainties, 209 three-dimensional, 216 velocity, 209 Wind tunnel: 57-60

298