| Preface | p. ix |
| Fluid Mechanics Review | p. 1 |
| Rotating Fluid Phenomena | p. 3 |
| Mass and Momentum Conservation | p. 23 |
| Eulerian Mechanics | p. 23 |
| Mass Conservation | p. 23 |
| Force and Momentum | p. 26 |
| Navier-Stokes Equations | p. 29 |
| Dimensionless Equations and Ratios | p. 35 |
| Potential (Inviscid) Flow | p. 43 |
| Bernoulli Equation | p. 43 |
| Stream Functions and Velocity Potentials | p. 45 |
| Flow Past a Circular Cylinder | p. 48 |
| Pressure Components | p. 53 |
| Boundary Layers and Turbulence | p. 57 |
| Introduction and Two Solutions by Stokes | p. 57 |
| Prandtl Boundary Layer Equations | p. 60 |
| Flat Plate and Cylinder Solutions | p. 64 |
| Momentum Integral Equation | p. 67 |
| Turbulence and Stability | p. 70 |
| Wave Theory | p. 77 |
| Introduction and Definitions | p. 77 |
| Longitudinal Waves | p. 84 |
| Transverse Waves | p. 87 |
| Mach Cones | p. 93 |
| Rotating Fluid Theory | p. 97 |
| Rotating Coordinate Systems | p. 99 |
| Intermediate Reference Frames | p. 99 |
| Fluids in a Rotating Frame | p. 102 |
| Ekman and Rossby Numbers | p. 104 |
| Application Examples | p. 106 |
| Coriolis Phenomena | p. 113 |
| Coriolis Forces vs. Accelerations | p. 113 |
| Coriolis and Angular Momentum | p. 117 |
| Coriolis Force-Acceleration Criteria | p. 119 |
| Application Examples | p. 121 |
| Rotation, Vorticity, and Circulation | p. 127 |
| Rotation | p. 127 |
| Vorticity | p. 128 |
| Circulation and Stokes Theorem | p. 134 |
| Application Examples | p. 137 |
| Vorticity as the Variable | p. 145 |
| Vorticity in Navier-Stokes Equations | p. 145 |
| Viscous Production of Vorticity | p. 146 |
| Relative Vorticity | p. 150 |
| Application Examples | p. 150 |
| Vortex Dynamics | p. 159 |
| Vortex Interactions in Two Dimensions | p. 159 |
| Conservation of Vorticity and Circulation | p. 163 |
| The Formula of Biot and Savart | p. 169 |
| Rankine's Combined Vortex | p. 170 |
| Vortex Intensification by Stretching | p. 173 |
| Application Examples | p. 176 |
| Secondary Flows | p. 183 |
| Boundary Layer Review | p. 183 |
| A Rotating Disk in a Stationary Fluid | p. 183 |
| A Rotating Fluid above a Stationary Surface | p. 188 |
| Enclosed Secondary Flows | p. 191 |
| Application Examples | p. 194 |
| Circular Pathline Flows | p. 201 |
| Theoretical Criteria | p. 201 |
| Some Important Flows | p. 202 |
| Application Examples | p. 209 |
| Rotation and Inertial Waves | p. 215 |
| Rayleigh Instability | p. 215 |
| Stability of Circular Pathline Flows | p. 217 |
| Rossby Waves and Inertial Waves | p. 219 |
| Atmospheric Rossby Waves I | p. 222 |
| Instability and Turbulence | p. 225 |
| Application Examples | p. 226 |
| Rotating Fluid Applications | p. 233 |
| Pipes, Channels, and Rivers | p. 235 |
| Swirl in Straight Sections | p. 235 |
| Secondary Flow in Curved Sections | p. 239 |
| River Meandering | p. 244 |
| Abutment Undercutting | p. 245 |
| Study and Research Projects | p. 246 |
| Rotors and Centrifuges | p. 251 |
| Thin Disk in a Housing | p. 251 |
| Flow in a Cylindrical Annulus | p. 254 |
| Centrifuges | p. 255 |
| Cyclone Separators | p. 260 |
| Study and Research Projects | p. 261 |
| Wings, Lift, and Drag | p. 265 |
| Circulation and Lift (Inviscid) | p. 265 |
| Circulation and Lift (Viscous) | p. 267 |
| Kutta-Zhukowskii Theory | p. 269 |
| Finite Wings and Vortices | p. 270 |
| Vertical Momentum and Induced Drag | p. 273 |
| Study and Research Projects | p. 275 |
| Turbomachinery | p. 279 |
| Definitions and Classifications | p. 279 |
| Internal Flow Characteristics | p. 287 |
| Torque and Power Output | p. 289 |
| Flow Calculations | p. 291 |
| Performance Criteria | p. 298 |
| Study and Research Projects | p. 300 |
| Liquids in Precessing Spacecraft | p. 305 |
| Rigid-Body Dynamics | p. 305 |
| Energy Dissipation and Stability | p. 309 |
| Solution: Analysis and Computation | p. 311 |
| Solution: Scaled Experiments | p. 313 |
| Study and Research Projects | p. 316 |
| The Earth, Sun, and Moon | p. 319 |
| Introduction | p. 319 |
| Earth and Earth-Sun-Moon Dynamics | p. 320 |
| Motions in the Liquid Core | p. 322 |
| Chandler Wobble | p. 325 |
| Tides and Earth-Sun-Moon Dynamics | p. 327 |
| Study and Research Projects | p. 329 |
| Atmospheric Circulation | p. 333 |
| Introduction | p. 333 |
| Convective Flow Patterns | p. 336 |
| Coriolis Phenomena | p. 338 |
| Planetary Flow Dynamics | p. 341 |
| Atmospheric Rossby Waves II | p. 343 |
| Study and Research Projects | p. 344 |
| Oceanic Circulation | p. 349 |
| Flow Patterns and Energy Sources | p. 349 |
| Coriolis and Oceanic Gyres | p. 352 |
| Western Intensification and Elevated Centers | p. 353 |
| Localized Flow Phenomena | p. 355 |
| Some Quantitative Analyses | p. 357 |
| Study and Research Projects | p. 361 |
| Intense Atmospheric Vortices | p. 365 |
| Whirlwinds and Dust Devils | p. 365 |
| Large-Scale Vortex Storms | p. 366 |
| Hurricanes (Typhoons) | p. 368 |
| Tornadoes | p. 373 |
| Study and Research Projects | p. 375 |
| Appendices | |
| Mathematical Relationships | p. 379 |
| Vectors | p. 379 |
| Matrices | p. 379 |
| Direction Cosine Matrices | p. 380 |
| Dyadics and Tensors | p. 382 |
| The Del Operator [down triangle, open] | p. 382 |
| Operations Using [down triangle, open] | p. 383 |
| Stream Functions and Velocity Potentials | p. 385 |
| Summary | p. 385 |
| Basic Flows | p. 385 |
| Sums of Two Flows | p. 386 |
| Cylinders and Vortex Pairs | p. 387 |
| Equations of Motion | p. 389 |
| Cartesian | p. 389 |
| Cylindrical | p. 389 |
| Spherical | p. 390 |
| Fluid Properties | p. 393 |
| Units | p. 393 |
| Properties of Air | p. 393 |
| Properties of Water | p. 394 |
| Common Gases and Liquids | p. 394 |
| Compressible Fluids | p. 395 |
| Geophysical Data | p. 397 |
| The Earth | p. 397 |
| The Sun | p. 397 |
| The Moon | p. 397 |
| The Planets | p. 398 |
| The Oceans | p. 398 |
| The Standard Atmosphere | p. 399 |
| References | p. 401 |
| Index | p. 415 |
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