Preface |
Fluid Mechanics Review / Part I: |
Rotating Fluid Phenomena / 1: |
Mass and Momentum Conservation / 2: |
Eulerian Mechanics / 2.1: |
Mass Conservation / 2.2: |
Force and Momentum / 2.3: |
Navier-Stokes Equations / 2.4: |
Dimensionless Equations and Ratios / 2.5: |
Potential (Inviscid) Flow / 3: |
Bernoulli Equation / 3.1: |
Stream Functions and Velocity Potentials / 3.2: |
Flow Past a Circular Cylinder / 3.3: |
Pressure Components / 3.4: |
Boundary Layers and Turbulence / 4: |
Introduction and Two Solutions by Stokes / 4.1: |
Prandtl Boundary Layer Equations / 4.2: |
Flat Plate and Cylinder Solutions / 4.3: |
Momentum Integral Equation / 4.4: |
Turbulence and Stability / 4.5: |
Wave Theory / 5: |
Introduction and Definitions / 5.1: |
Longitudinal Waves / 5.2: |
Transverse Waves / 5.3: |
Mach Cones / 5.4: |
Rotating Fluid Theory / Part II: |
Rotating Coordinate Systems / 6: |
Intermediate Reference Frames / 6.1: |
Fluids in a Rotating Frame / 6.2: |
Ekman and Rossby Numbers / 6.3: |
Application Examples / 6.4: |
Coriolis Phenomena / 7: |
Coriolis Forces vs. Accelerations / 7.1: |
Coriolis and Angular Momentum / 7.2: |
Coriolis Force-Acceleration Criteria / 7.3: |
Rotation, Vorticity, and Circulation / 7.4: |
Rotation / 8.1: |
Vorticity / 8.2: |
Circulation and Stokes Theorem / 8.3: |
Vorticity as the Variable / 8.4: |
Vorticity in Navier-Stokes Equations / 9.1: |
Viscous Production of Vorticity / 9.2: |
Relative Vorticity / 9.3: |
Vortex Dynamics / 9.4: |
Vortex Interactions in Two Dimensions / 10.1: |
Conservation of Vorticity and Circulation / 10.2: |
The Formula of Biot and Savart / 10.3: |
Rankine's Combined Vortex / 10.4: |
Vortex Intensification by Stretching / 10.5: |
Secondary Flows / 10.6: |
Boundary Layer Review / 11.1: |
A Rotating Disk in a Stationary Fluid / 11.2: |
A Rotating Fluid above a Stationary Surface / 11.3: |
Enclosed Secondary Flows / 11.4: |
Circular Pathline Flows / 11.5: |
Theoretical Criteria / 12.1: |
Some Important Flows / 12.2: |
Rotation and Inertial Waves / 12.3: |
Rayleigh Instability / 13.1: |
Stability of Circular Pathline Flows / 13.2: |
Rossby Waves and Inertial Waves / 13.3: |
Atmospheric Rossby Waves I / 13.4: |
Instability and Turbulence / 13.5: |
Rotating Fluid Applications / 13.6: |
Pipes, Channels, and Rivers / 14: |
Swirl in Straight Sections / 14.1: |
Secondary Flow in Curved Sections / 14.2: |
River Meandering / 14.3: |
Abutment Undercutting / 14.4: |
Study and Research Projects / 14.5: |
Rotors and Centrifuges / 15: |
Thin Disk in a Housing / 15.1: |
Flow in a Cylindrical Annulus / 15.2: |
Centrifuges / 15.3: |
Cyclone Separators / 15.4: |
Wings, Lift, and Drag / 15.5: |
Circulation and Lift (Inviscid) / 16.1: |
Circulation and Lift (Viscous) / 16.2: |
Kutta-Zhukowskii Theory / 16.3: |
Finite Wings and Vortices / 16.4: |
Vertical Momentum and Induced Drag / 16.5: |
Turbomachinery / 16.6: |
Definitions and Classifications / 17.1: |
Internal Flow Characteristics / 17.2: |
Torque and Power Output / 17.3: |
Flow Calculations / 17.4: |
Performance Criteria / 17.5: |
Liquids in Precessing Spacecraft / 17.6: |
Rigid-Body Dynamics / 18.1: |
Energy Dissipation and Stability / 18.2: |
Solution: Analysis and Computation / 18.3: |
Solution: Scaled Experiments / 18.4: |
The Earth, Sun, and Moon / 18.5: |
Introduction / 19.1: |
Earth and Earth-Sun-Moon Dynamics / 19.2: |
Motions in the Liquid Core / 19.3: |
Chandler Wobble / 19.4: |
Tides and Earth-Sun-Moon Dynamics / 19.5: |
Atmospheric Circulation / 19.6: |
Convective Flow Patterns / 20.1: |
Planetary Flow Dynamics / 20.3: |
Atmospheric Rossby Waves II / 20.5: |
Oceanic Circulation / 20.6: |
Flow Patterns and Energy Sources / 21.1: |
Coriolis and Oceanic Gyres / 21.2: |
Western Intensification and Elevated Centers / 21.3: |
Localized Flow Phenomena / 21.4: |
Some Quantitative Analyses / 21.5: |
Intense Atmospheric Vortices / 21.6: |
Whirlwinds and Dust Devils / 22.1: |
Large-Scale Vortex Storms / 22.2: |
Hurricanes (Typhoons) / 22.3: |
Tornadoes / 22.4: |
Appendices / 22.5: |
Mathematical Relationships / A: |
Vectors / A.1: |
Matrices / A.2: |
Direction Cosine Matrices / A.3: |
Dyadics and Tensors / A.4: |
The Del Operator [down triangle, open] / A.5: |
Operations Using [down triangle, open] / A.6: |
Summary / B: |
Basic Flows / B.2: |
Sums of Two Flows / B.3: |
Cylinders and Vortex Pairs / B.4: |
Equations of Motion / C: |
Cartesian / C.1: |
Cylindrical / C.2: |
Spherical / C.3: |
Fluid Properties / D: |
Units / D.1: |
Properties of Air / D.2: |
Properties of Water / D.3: |
Common Gases and Liquids / D.4: |
Compressible Fluids / D.5: |
Geophysical Data / E: |
The Earth / E.1: |
The Sun / E.2: |
The Moon / E.3: |
The Planets / E.4: |
The Oceans / E.5: |
The Standard Atmosphere / E.6: |
References |
Index |
Preface |
Fluid Mechanics Review / Part I: |
Rotating Fluid Phenomena / 1: |
Mass and Momentum Conservation / 2: |
Eulerian Mechanics / 2.1: |
Mass Conservation / 2.2: |