List of Abbreviations ......................................... XXI
Nomenclature .................................................. XXV
Part A Experiments in Fluid Mechanics
1 Experiment as a Boundary-Value Problem
Ronald L. Panton, Saeid Kheirandish, Manfred H. Wagner ....... 3
1.1 Thermodynamic Equations .................................. 3
1.2 Kinematic Equations ...................................... 5
1.3 Balance Laws and Local Governing Equations ............... 6
1.4 Balance Laws and Global Governing Equations .............. 8
1.5 Constitutive Equations .................................. 10
1.6 Navier-Stokes Equations ................................. 11
1.7 Discontinuities in Density .............................. 11
1.8 Constitutive Equations and Nonlinear Rheology of
Polymer Melts ........................................... 13
References .................................................. 30
2 Nondimensional Representation of the Boundary-Value Problem
John F. Foss, Ronald L. Panton, Alexander L. Yarin .......... 33
2.1 Similitude, the Nondimensional Prototype and Model
Flow Fields ............................................. 34
2.2 Dimensional Analysis and Data Organization .............. 42
2.3 Self-Similarity ......................................... 57
References .................................................. 82
Part В Measurement of Primary Quantities
3 Material Properties: Measurement and Data
William A. Wakeham, Marc J. Assael, Abraham Marmur,
Joël De Coninck, Terry D. Blake, Stephanus A. Theron,
Eyal Zussman ................................................ 85
3.1 Density ................................................. 85
3.2 Surface Tension and Interfacial Tension of Liquids ...... 96
3.3 Contact Angle .......................................... 106
3.4 Viscosity .............................................. 119
3.5 Thermal Conductivity and Thermal Diffusivity ........... 133
3.6 Diffusion .............................................. 147
3.7 Electric and Magnetic Parameters of Liquids and
Gases .................................................. 158
References ................................................. 169
4 Pressure Measurement Systems
Beverley J. McKeon, Rolf H. Engler ......................... 179
4.1 Measurement of Pressure with Wall Tappings ............. 180
4.2 Measurement of Pressure with Static Tubes .............. 185
4.3 Hardware and Other Considerations ...................... 187
4.4 Pressure-Sensitive Paint (PSP) ......................... 188
References ................................................. 209
5 Velocity, Vorticity, and Mach Number
Beverley J. McKeon, Genevieve Comte-Bellot, John F. Foss,
Jerry Westerweel, Fulvio Scarano, Cameron Tropea,
James F. Meyers, Joseph W. Lee, Angela A. Cavone,
Richard Schodl, Manoochehr M. Koochesfahani,
Daniel G. Nocera, Yiannis Andreopoulos, Werner J.A. Dahm,
John A. Mullin, James M. Wallace, Petar V. Vukoslavčević,
Scott С Morris, Eric R. Pardyjak, Alvaro Cuerva ............ 215
5.1 Pressure-Based Velocity Measurements ................... 216
5.2 Thermal Anemometry ..................................... 229
5.3 Particle-Based Techniques .............................. 287
5.4 Molecular Tagging Velocimetry (MTV) .................... 362
5.5 Vorticity .............................................. 382
5.6 Thermal Transient Anemometer (TTA) ..................... 434
5.7 Sonic Anemometry/Thermometry ........................... 436
References ................................................. 446
6 Density-Based Techniques
Wolfgang Merzkirch ......................................... 473
6.1 Density, Refractive Index, and Optical Flow
Visualization .......................................... 473
6.2 Shadowgraphy ........................................... 474
6.3 Schlieren Method ....................................... 476
6.4 Moiré Deflectometry .................................... 478
6.5 Interferometry ......................................... 480
6.6 Optical Tomography ..................................... 485
References ................................................. 485
7 Temperature and Heat Flux
Tomasz A. Kowalewski, Phillip Ligrani, Andreas Dreizler,
Christof Schulz, Uwe Fey, Yasuhiro Egami ................... 487
7.1 Thermochromic Liquid Crystals .......................... 488
7.2 Measurements of Surface Heat Transfer Characteristics
Using Infrared Imaging ................................. 500
7.3 Temperature Measurement via Absorption, Light
Scattering and Laser-Induced Fluorescence .............. 515
7.4 Transition Detection by Temperature-Sensitive Paint .... 537
References ................................................. 553
8 Force and Moment Measurement
Klaus Hufnagel, Günter Schewe .............................. 563
8.1 Steady and Quasi-Steady Measurement .................... 564
8.2 Force and Moment Measurements in Aerodynamics and
Aeroelasticity Using Piezoelectric Transducers ......... 596
References ................................................. 615
Part С Specific Experimental Environments and Techniques
9 Non-Newtonian Flows
Klaas te Nijenhuis, Gareth H. McKinley,
Stephen Spiegelberg, Howard A. Barnes, Nuri Aksel,
Lutz Heymann, Jeffrey A. Odell ............................. 619
9.1 Viscoelastic Polymeric Fluids .......................... 619
9.2 Thixotropy, Rheopexy, Yield Stress ..................... 661
9.3 Rheology of Suspensions and Emulsions .................. 680
9.4 Entrance Correction and Extrudate Swell ................ 720
9.5 Birefringence in Non-Newtonian Flows ................... 724
References ................................................. 732
10 Measurements of Turbulent Flows
Giovanni Paolo Romano, Nicholas T. Ouellette, Haitao Xu,
Eberhard Bodenschatz, Victor Steinberg, Charles Meneveau,
Joseph Katz ................................................ 745
10.1 Statistical Eulerian Description of Turbulent Flows ... 746
10.2 Measuring Lagrangian Statistics in Intense
Turbulence ............................................ 789
10.3 Elastic Turbulence in Viscoelastic Flows .............. 799
10.4 Measurements for Large-Eddy Simulations ............... 830
References ................................................. 849
11 Flow Visualization
Wolfgang Merzkirch ......................................... 857
11.1 Aims and Principles of Flow Visualization ............. 857
11.2 Visualizations of Flow Structures and Flow
Direction ............................................. 859
11.3 Visualization of Free Surface Flows ................... 868
References ................................................. 869
12 Wall-Bounded Flows
Joseph С. Klewicki, William S. Saric, Ivan Marusic,
John K. Eaton .............................................. 871
12.1 Introductory Concepts ................................. 871
12.2 Measurement of Wall Shear Stress ...................... 875
12.3 Boundary-Layer Stability and Transition ............... 886
12.4 Measurements Considerations in Non-Canonical Flows .... 896
References ................................................. 902
13 Topological Considerations in Fluid Mechanics Measurements
John F. Foss ............................................... 909
13.1 A Companion Document .................................. 909
13.2 Utilization of Topological Considerations for Flow
Field Analyses ........................................ 910
References ................................................. 918
14 Flow Measurement Techniques in Turbomachinery
Oğuz Uzol, Joseph Katz ..................................... 919
14.1 Background On Turbomachinery Flows .................... 919
14.2 Non-Optical Measurement Techniques .................... 921
14.3 Optical Measurement Techniques ........................ 933
14.4 Concluding Remarks .................................... 950
References ................................................. 951
15 Hydraulics
Roger E.A. Arndt, Damien Kawakami, Martin Wosnik,
Marc Perlin, James H. Duncan, David M. Admiraal,
Marcelo H. García .......................................... 959
15.1 Measurements in Cavitating Flows ...................... 959
15.2 Wave Height and Slope ................................ 1009
15.3 Sediment Transport Measurements ...................... 1020
References ................................................ 1033
16 Aerodynamics
Wolf-H. Hucho, Klaus Hannemann, Jan Martinez Schramm,
Charles H.K. Williamson ................................... 1043
16.1 Ground Vehicle Aerodynamics .......................... 1043
16.2 Short-Duration Testing, of High Enthalpy, High
Pressure, Hypersonic Flows ........................... 1081
16.3 Bluff Body Aerodynamics .............................. 1125
References ................................................ 1146
17 Atmospheric Measurements
Harindra J.S. Fernando, Marko Princevac,
Ronald J. Calhoun ......................................... 1157
17.1 Point Measurements ................................... 1159
17.2 Dispersion Measurements .............................. 1167
17.3 Remote Sensing ....................................... 1169
17.4 Satellite Measurements ............................... 1175
References ................................................ 1178
18 Oceanographic Measurements
Bruce Howe, Teresa K. Chereskin ........................... 1179
18.1 Oceanography ......................................... 1179
18.2 Point Measurements ................................... 1182
18.3 Lagrangian Techniques ................................ 1188
18.4 Remote Sensing ....................................... 1192
18.5 Measurement Systems .................................. 1203
18.6 Experiment Case Studies .............................. 1208
References ................................................ 1214
19 Microfluidics: The No-Slip Boundary Condition
Eric Lauga, Michael P. Brenner, Howard A. Stone ........... 1219
19.1 History of the No-Slip Condition ..................... 1220
19.2 Experimental Methods ................................. 1222
19.3 Molecular Dynamics Simulations ....................... 1226
19.4 Discussion: Dependence on Physical Parameters ........ 1228
19.5 Perspective .......................................... 1234
References ................................................ 1235
20 Combustion Diagnostics
Christof Schulz, Andreas Dreizler, Volker Ebert,
Jürgen Wolfrum ............................................ 1241
20.1 Basics ............................................... 1242
20.2 Laser-Based Combustion Diagnostics ................... 1243
20.3 Experimental Data Devoted to Validation of
Numerical Simulations and Modeling ................... 1244
20.4 Application of Laser-Based Techniques ................ 1247
20.5 Conclusions .......................................... 1299
References ................................................ 1300
21 Electrohydrodynamic Systems
Antonio Castellanos, Alberto T. Pérez ..................... 1317
21.1 Equations ............................................ 1318
21.2 Fluid Statics and Dynamics in EHD .................... 1320
21.3 Experimental Methods in EHD .......................... 1322
21.4 Conductivity ......................................... 1323
21.5 Mobility ............................................. 1327
21.6 Electric Field Measurement: Kerr Effect .............. 1328
21.7 Velocity ............................................. 1329
21.8 Visualization ........................................ 1330
References ................................................ 1331
Part D Analysis and Post-Processing of Data
22 Review of Some Fundamentals of Data Processing
Holger Nobach, Cameron Tropea, Laurent Cordier,
Jean-Paul Bonnet, Joël Delville, Jacques Lewalle,
Marie Farge, Kai Schneider, Ronald J. Adrian .............. 1337
22.1 Fourier Transform .................................... 1337
22.2 Correlation Function ................................. 1342
22.3 Hiibert Transform .................................... 1344
22.4 Proper Orthogonal Decomposition: POD ................. 1346
22.5 Conditional Averages and Stochastic Estimation ....... 1370
22.6 Wavelet Transforms ................................... 1378
References ................................................ 1395
23 Fundamentals of Data Processing
Holger Nobach, Cameron Tropea ............................. 1399
23.1 Statistical Principles ............................... 1399
23.2 Stationary Random Processes .......................... 1401
23.3 Estimator Expectation and Variance ................... 1402
23.4 Signal Noise ......................................... 1406
23.5 Cramer-Rao Lower Bound (CRLB) ........................ 1408
23.6 Propagation of Errors ................................ 1416
References ................................................ 1417
24 Data Acquisition by Imaging Detectors
Bernd Jähne ............................................... 1419
24.1 Definitions .......................................... 1419
24.2 Types of Detectors ................................... 1420
24.3 Imaging Detectors .................................... 1421
24.4 Performance of Imaging Sensors ....................... 1426
24.5 Camera Selection ..................................... 1435
References ................................................ 1436
25 Data Analysis
Bernd Jähne, Michael Klar, Markus Jehle ................... 1437
25.1 Image Processing ..................................... 1437
25.2 Motion Analysis ...................................... 1464
References ................................................ 1488
Acknowledgements ............................................. 1493
About the Authors ............................................ 1495
Detailed Contents ............................................ 1513
Subject Index ................................................ 1531
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