What is included with this book?
Preface | p. xi |
About the Author | p. xv |
Notation and Units | p. xvii |
Introduction to Rotating Flow | |
Introduction | p. 1 |
Geometric Configurations | p. 3 |
Geophysical Flow | p. 7 |
Conclusions | p. 14 |
References | p. 15 |
Laws of Motion | |
Introduction | p. 17 |
Navier-Stokes Equations | p. 19 |
Surface Forces | p. 20 |
Body Forces | p. 24 |
Inertia Forces | p. 25 |
Equilibrium | p. 26 |
Continuity Equation | p. 31 |
Solution of the Governing Equations of Fluid Mechanics | p. 33 |
Equations of Motion in a Rotating Coordinate System | p. 33 |
Dimensional Analysis and Similarity | p. 38 |
Conclusions | p. 51 |
References | p. 51 |
Vorticity and Rotation | |
Introduction | p. 53 |
Vortex Flow | p. 58 |
Free Vortex | p. 59 |
Forced Vortex | p. 65 |
Compound Vortex | p. 69 |
Free Spiral Vortex | p. 70 |
Helmholtz's Theorems | p. 71 |
Toroidal Vortex | p. 71 |
The Bathtub Vortex | p. 72 |
Taylor-Proudman Theorem | p. 75 |
Conclusions | p. 78 |
References | p. 78 |
Introduction to Rotating Disc Systems | |
Introduction | p. 81 |
The Free Disc | p. 83 |
Laminar Flow over the Free Disc | p. 85 |
A Rotating Fluid above a Stationary Disc | p. 97 |
Turbulent Flow over a Single Disc | p. 102 |
Momentum Integral Equations for Turbulent Flow over a Rotating Disc | p. 104 |
Ekman Integral Equations | p. 121 |
Impinging Flow on a Rotating Disc | p. 123 |
Conclusions | p. 125 |
References | p. 126 |
Rotor-Stator Disc Cavity Flow | |
Introduction | p. 127 |
Enclosed Rotor-Stator Disc Systems | p. 130 |
Inviscid Equations of Motion | p. 138 |
Rotor-Stator with Radial Outflow | p. 139 |
Rotor-Stator with Radial Inflow | p. 148 |
Rotor-Stator with Stationary Shroud and Radial Outflow | p. 152 |
Rotor-Stator with Stationary Shroud and External Flow | p. 158 |
Static and Rotating Protrusions | p. 165 |
Thrust on a Disc | p. 168 |
Conclusions | p. 172 |
References | p. 172 |
Rotating Cylinders, Annuli, and Spheres | |
Introduction | p. 177 |
Rotating Cylinder Flow | p. 179 |
Rotating Couette Flow | p. 185 |
Flow Instabilities and Taylor Vortex Flow | p. 193 |
Journal Bearings | p. 203 |
Boundary-Lubricated Bearings | p. 207 |
Design of Full Film Hydrodynamic Bearings | p. 208 |
Rotating Cylinders and Spheres with Cross-flow | p. 236 |
Conclusions | p. 244 |
References | p. 244 |
Rotating Cavities | |
Introduction | p. 249 |
Closed Rotating Cylindrical and Annular Cavities | p. 251 |
Rotating Cavity with Radial Outflow | p. 253 |
Rotating Cavity with Radial Inflow | p. 255 |
Rotating Cavities with Axial Throughflow | p. 258 |
Characterization of Cavity Flow and Modeling | p. 259 |
Boundary Layer Approximation for Rotating Cavity Flows | p. 260 |
Linear Ekman Layer Equations | p. 265 |
Integral Equations | p. 271 |
Modeling of Selected Rotating Cavity Applications | p. 275 |
Closed Rotating Cavities | p. 275 |
Rotating Cavity with Radial Outflow | p. 281 |
Rotating Cavity with Radial Outflow and Axial Inlet | p. 284 |
Radial Inflow | p. 285 |
Rotating Cavities with Axial Throughflow | p. 287 |
Conclusions | p. 295 |
References | p. 296 |
Atmospheric and Oceanic Circulations | |
Introduction | p. 299 |
Coordinate System | p. 305 |
Earth, Sun, and Moon Dynamics | p. 307 |
Structure and Composition of the Atmosphere | p. 310 |
The Energy Cycle | p. 315 |
Atmospheric Circulation | p. 322 |
Rossby Waves and Jet Streams | p. 329 |
Pressure Systems and Fronts | p. 335 |
Pressure Systems | p. 335 |
Fronts | p. 340 |
Anticyclones | p. 344 |
Weather Maps | p. 345 |
Intense Atmospheric Vortices | p. 351 |
Thunderstorms | p. 351 |
Tornadoes and Waterspouts | p. 351 |
Whirlwinds and Dust Devils | p. 354 |
Hurricanes and Typhoons | p. 355 |
Oceanic Circulation | p. 359 |
Conclusions | p. 365 |
References | p. 365 |
Properties of Air | p. 367 |
The Vector Cross Product | p. 373 |
Glossary | p. 377 |
Index | p. 383 |
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