| Introduction | p. 1 |
| Flows and Flow Measurements | p. 1 |
| Traditional Methods of Flow Measurements | p. 2 |
| Laser Methods and Laser Doppler Anemometry (LDA) | p. 2 |
| Developments of LDA Fundamentals and Instrumentations | p. 4 |
| Developments of LDA Application Methods | p. 5 |
| Purposeful Flow Measurements and Rational Measurement Evaluations | p. 8 |
| Purposes of this Book | p. 9 |
| Specifications of Engineering Turbulent Flows | p. 11 |
| Turbulent Flow Properties | p. 11 |
| Statistical Views of Flow Turbulences | p. 11 |
| Isotropic and Anisotropic Turbulences | p. 13 |
| Reynolds Turbulent Stresses | p. 15 |
| LDA Principles and Laser Optics | p. 19 |
| Light Wave and Its Propagation | p. 19 |
| The Doppler Effect | p. 22 |
| Superposition of Two Plane Light Waves | p. 24 |
| LDA Principle | p. 27 |
| Fringe Model on the Light Interference | p. 29 |
| Frequency Shift Method to Resolve the Flow Direction | p. 32 |
| Fringe Shift Speed | p. 34 |
| Gaussian Beam Properties | p. 35 |
| Geometrical Specifications of the Gaussian Beam | p. 35 |
| Transmission Performance of the Gaussian Beam | p. 38 |
| Measurement Volume Size | p. 39 |
| LDA Systems | p. 41 |
| Hardware and Optical Components | p. 41 |
| Specification of LDA Measurement Volumes | p. 44 |
| Basic Data Processing Methods in LDA Measurements | p. 47 |
| Direct Data Processing for Mean Velocities and Velocity Fluctuations | p. 47 |
| Weighting Facilities of Mean Velocity and Fluctuations | p. 51 |
| Linear Transformation of Velocities and Turbulent Stresses | p. 53 |
| Orthogonal Linear Transformation | p. 53 |
| Velocity Transformation | p. 53 |
| Turbulent Stress Transformation | p. 55 |
| Directional Distribution of Turbulent Stresses | p. 55 |
| Non-orthogonal Transformation | p. 61 |
| Velocity Transformation | p. 62 |
| Turbulent Stress Transformation | p. 63 |
| Graphical Presentation of Turbulent Stresses | p. 65 |
| Ellipse Form of the Turbulence Distribution | p. 65 |
| Expressions of Turbulent Stresses in Mohr's Stress Circle | p. 66 |
| Tracer Particles and Particle Motion Equations | p. 69 |
| Effective Forces Exerted on the Particle in the Flow | p. 70 |
| Viscous Drag Force | p. 70 |
| Gravitational and Lift Forces | p. 71 |
| Pressure Force | p. 72 |
| Force from Added Mass | p. 73 |
| Particle Motion Equation | p. 74 |
| Particle Motion in the Straight Flow of Constant Velocity | p. 75 |
| Particle Motion in Nozzle and Diffuser Flows | p. 76 |
| Nozzle Flow | p. 78 |
| Diffuser Flow | p. 80 |
| Particle Motion in the Oscillation Flow | p. 82 |
| Particle Flows of Small Stokes Numbers | p. 86 |
| Particle Flows of Large Stokes Numbers | p. 88 |
| Zero Correlation Method (ZCM) | p. 89 |
| Shear Stress Measurements with Non-coincident LDA | p. 89 |
| Basics of ZCM | p. 90 |
| Extension of ZCM | p. 93 |
| Non-orthogonal Velocity Components | p. 93 |
| Three-Dimensional Flow Turbulence | p. 93 |
| Restriction and Validation of ZCM | p. 94 |
| Dual Measurement Method (DMM) | p. 97 |
| Possibility of Resolving the Secondary Flow | p. 97 |
| DMM in Basic Form | p. 99 |
| DMM with Coordinate Transformation | p. 103 |
| Extension of DMM | p. 105 |
| Direct Component Measurements | p. 106 |
| Method of Using Coordinate Transformation | p. 109 |
| Symmetrical Method of 3D-Velocity Measurements | p. 113 |
| Non-stationary Turbulent Flows | p. 117 |
| Non-stationary Turbulent Flows in the Practice | p. 117 |
| Time-Resolved Non-stationary Turbulent Flows | p. 119 |
| Method of Linear Least Squares Fitting | p. 119 |
| Linear Trend of the Velocity and the Calculation Method | p. 121 |
| Time-Dependent Flow Turbulences | p. 123 |
| Phase-Resolved Non-stationary Turbulent Flows | p. 126 |
| Method of Linear Least Squares Fitting | p. 127 |
| Linear Trend of the Velocity and the Calculation Method | p. 128 |
| Phase-Dependent Flow Turbulences | p. 130 |
| Turbulent Flow with Spatial Velocity Gradient | p. 133 |
| Apparent Turbulence Intensity and Related Quantities | p. 135 |
| Combined Velocity Bias Effect | p. 140 |
| Mean Velocity | p. 141 |
| Turbulent Normal Stress | p. 142 |
| Method of Resolving the Non-uniform Velocity Distribution | p. 145 |
| Flow Measurements Behind the Plane Window: On-axis | p. 147 |
| Fringe Spacing | p. 147 |
| Shift of the Measurement Volume | p. 148 |
| Optical Dispersion and its Negligible Effect | p. 149 |
| Flow Measurements Behind the Plane Window: Off-axis | p. 151 |
| Off-axis Measurements and Velocity Transformation | p. 152 |
| Fringe Spacing in Measurement Volume and Velocity Corrections | p. 153 |
| Refraction of Optical Axis and Orientation of the Measurement Volume | p. 155 |
| Two-Dimensional Shift of the Measurement Volume | p. 156 |
| Astigmatism and its Presence in Transmitting Optics | p. 159 |
| Astigmatism at the Focused Laser Beam Bundle | p. 163 |
| One-time Refraction of a Focused Beam Bundle | p. 163 |
| Multiple Refraction of a Focused Beam Bundle | p. 169 |
| Measurement Volume and Its Distortion | p. 170 |
| Single Refraction of Laser Beams | p. 172 |
| Multiple Refractions of Laser Beams | p. 173 |
| Astigmatism at the On-axis LDA Alignment | p. 174 |
| Signal Qualities and the Lens Dependence | p. 175 |
| Deterioration of Signal Qualities and Strengths | p. 175 |
| Lens Dependence of Signal Qualities and Strengths | p. 176 |
| Error Sensitivities in Forming the Measurement Volume | p. 179 |
| Beam Separation in the Test Medium | p. 179 |
| Beam Separation After Multiple Refractions | p. 185 |
| Possible Impact on PDA Measurements | p. 185 |
| Method for Compensation of Astigmatism | p. 186 |
| Flow Measurements in Circular Pipes | p. 191 |
| Measurements of Axial Velocities | p. 193 |
| Measurements of Tangential Velocities | p. 197 |
| Basic Geometrical Relationships | p. 197 |
| Simplifications of Calculations | p. 198 |
| Fringe Spacing and Velocity Corrections | p. 199 |
| Measurements of Radial Velocities | p. 200 |
| Accurate Positioning of the Measurement Volume | p. 200 |
| Laser Beam Intersection Angle | p. 205 |
| Fringe Spacing and Velocity Corrections | p. 206 |
| Orientation of the Measurement Volume | p. 207 |
| Determination of Radial Velocities | p. 208 |
| Remarks on the Method | p. 208 |
| Optical Aberrations and Measurement Volume Distortion | p. 209 |
| Optical Aberrations in Transmitting and Receiving Optics | p. 210 |
| Dislocation of Laser Beam Waists from the Measurement Volume | p. 211 |
| Fringe Distortion Effects | p. 219 |
| Linear Longitudinal Distribution of the Fringe Spacing | p. 220 |
| Fringe Distortion Number and the Apparent Mean Velocity | p. 221 |
| Overestimation of the Flow Turbulence | p. 224 |
| Velocity Bias Effects | p. 227 |
| Velocity Bias as a Flow Phenomenon | p. 227 |
| Velocity Bias and the Momentum Flow Rate | p. 229 |
| Velocity Bias in One-Dimensional Flow Fluctuations | p. 231 |
| Velocity Bias in Two- and Three-Dimensional Flow Fluctuations | p. 235 |
| Velocity Bias in Mean Velocities | p. 236 |
| Velocity Bias in Turbulent Normal Stresses | p. 238 |
| Velocity Bias in Turbulent Shear Stresses | p. 241 |
| LDA Application Examples | p. 243 |
| High Speed Water Jet Flow in a Pelton Turbine | p. 243 |
| Measurements of Warp Yarn Speed in a Weaving Machine | p. 247 |
| Verification of the Shift Frequency in the Laser Beam | p. 249 |
| Off-axis LDA Alignment and Measurement Volume Displacement | p. 253 |
| Laser Beams in the Meridian Plane | p. 254 |
| Laser Beams in the Sagittal Plane | p. 255 |
| Combination | p. 257 |
| Laser Beam Orientation Under the Effect of the Bias Angle ¿ | p. 259 |
| Coordinate Transformation of the Reynolds Stress Matrix | p. 263 |
| References | p. 267 |
| Index | p. 271 |
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