Rotating Fluids in Engineering and Science by Vanyo, James P. -- Read -- Imperial Library of Trantor

Index

Cover Title Page Copyright Page Contents Preface Part I Fluid Mechanics Review

1 Rotating Fluid Phenomena 2 Mass and Momentum Conservation

2.1 Eulerian Mechanics 2.2 Mass Conservation 2.3 Force and Momentum 2.4 Navier-Stokes Equations 2.5 Dimensionless Equations and Ratios

3 Potential (Inviscid) Flow

3.1 Bernoulli Equation 3.2 Stream Functions and Velocity Potentials 3.3 Flow Past a Circular Cylinder 3.4 Pressure Components

4 Boundary Layers and Turbulence

4.1 Introduction and Two Solutions by Stokes 4.2 Prandtl Boundary Layer Equations 4.3 Flat Plate and Cylinder Solutions 4.4 Momentum Integral Equation 4.5 Turbulence and Stability

5 Wave Theory

5.1 Introduction and Definitions 5.2 Longitudinal Waves 5.3 Transverse Waves 5.4 Mach Cones

Part II Rotating Fluid Theory

6 Rotating Coordinate Systems

6.1 Intermediate Reference Frames 6.2 Fluids in a Rotating Frame 6.3 Ekman and Rossby Numbers 6.4 Application Examples

7 Coriolis Phenomena

7.1 Coriolis Forces vs. Accelerations 7.2 Coriolis and Angular Momentum 7.3 Coriolis Force-Acceleration Criteria 7.4 Application Examples

8 Rotation, Vorticity, and Circulation

8.1 Rotation 8.2 Vorticity 8.3 Circulation and Stokes Theorem 8.4 Application Examples

9 Vorticity as the Variable

9.1 Vorticity in Navier-Stokes Equations 9.2 Viscous Production of Vorticity 9.3 Relative Vorticity 9.4 Application Examples

10 Vortex Dynamics

10.1 Vortex Interactions in Two Dimensions 10.2 Conservation of Vorticity and Circulation 10.3 The Formula of Biot and Savart 10.4 Rankine's Combined Vortex 10.5 Vortex Intensification by Stretching 10.6 Application Examples

11 Secondary Flows

11.1 Boundary Layer Review 11.2 A Rotating Disk in a Stationary Fluid 11.3 A Rotating Fluid above a Stationary Surface 11.4 Enclosed Secondary Flows 11.5 Application Examples

12 Circular Pathline Flows

12.1 Theoretical Criteria 12.2 Some Important Flows 12.3 Application Examples

13 Rotation and Inertial Waves

13.1 Rayleigh Instability 13.2 Stability of Circular Pathline Flows 13.3 Rossby Waves and Inertial Waves 13.4 Atmospheric Rossby Waves I 13.5 Instability and Turbulence 13.6 Application Examples

Part III Rotating Fluid Applications

14 Pipes, Channels, and Rivers

14.1 Swirl in Straight Sections 14.2 Secondary Flow in Curved Sections 14.3 River Meandering 14.4 Abutment Undercutting 14.5 Ştudy and Research Projects

15 Rotors and Centrifuges

15.1 Thin Disk in a Housing 15.2 Flow in a Cylindrical Annulus 15.3 Centrifuges 15.4 Cyclone Separators 15.5 Study and Research Projects

16 Wings, Lift, and Drag

16.1 Circulation and Lift (Inviscid) 16.2 Circulation and Lift (Viscous) 16.3 Kutta-Zhukowskii Theory 16.4 Finite Wings and Vortices 16.5 Vertical Momentum and Induced Drag 16.6 Study and Research Projects

17 Turbomachinery

17.1 Definitions and Classifications 17.2 Internal Flow Characteristics 17.3 Torque and Power Output 17.4 Flow Calculations 17.5 Performance Criteria 17.6 Study and Research Projects

18 Liquids in Precessing Spacecraft

18.1 Rigid-Body Dynamics 18.2 Energy Dissipation and Stability 18.3 Solution: Analysis and Computation 18.4 Solution: Scaled Experiments 18.5 Study and Research Projects

19 The Earth, Sun, and Moon

19.1 Introduction 19.2 Earth and Earth-Sun-Moon Dynamics 19.3 Motions in the Liquid Core 19.4 Chandler Wobble 19.5 Tides and Earth-Sun-Moon Dynamics 19.6 Study and Research Projects

20 Atmospheric Circulation

20.1 Introduction 20.2 Convective Flow Patterns 20.3 Coriolis Phenomena 20.4 Planetary Flow Dynamics 20.5 Atmospheric Rossby Waves II 20.6 Study and Research Projects

21 Oceanic Circulation

21.1 Flow Patterns and Energy Sources 21.2 Coriolis and Oceanic Gyres 21.3 Western Intensification and Elevated Centers 21.4 Localized Flow Phenomena 21.5 Some Quantitative Analyses 21.6 Study and Research Projects

22 Intense Atmospheric Vortices

22.1 Whirlwinds and Dust Devils 22.2 Large-Scale Vortex Storms 22.3 Hurricanes (Typhoons) 22.4 Tornadoes 22.5 Study and Research Projects

Appendices

A Mathematical Relationships

A.1 Vectors A.2 Matrices A.3 Direction Cosine Matrices A.4 Dyadics and Tensors A.5 The Del Operator ∇ A.6 Operations Using ∇

B Stream Functions and Velocity Potentials

B.1 Summary B.2 Basic Flows B.3 Sums of Two Flows B.4 Cylinders and Vortex Pairs

C Equations of Motion

C.1 Cartesian C.2 Cylindrical C.3 Spherical

D Fluid Properties

D.1 Units D.2 Properties of Air D.3 Properties of Water D.4 Common Gases and Liquids D.5 Compressible Fluids

E Geophysical Data

E.1 The Earth E.2 The Sun E.3 The Moon E.4 The Planets E.5 The Oceans E.6 The Standard Atmosphere

References Index

← Prev
Back
Next →

← Prev
Back
Next →