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Rotating Fluids in Engineering and Science,9780486417042

Rotating Fluids in Engineering and Science

by
ISBN13:

9780486417042

ISBN10:
0486417042
Format:
Paperback
Pub. Date:
2/29/2012
Publisher(s):
Dover Publications
List Price: $26.61

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Summary

Lucid, well-written presentation for upper-level undergraduates or beginning graduate students. Invaluable for engineers and scientists whose projects require a knowledge of the theory. Part I reviews basic fluid mechanics needed to understand rest of text. Part II introduces concepts, theories, and equations specific to rotating fluids, and Part III presents numerous practical applications of the theory, in fields ranging from centrifuges to aerodynamics. "Highly recommended."-Choice.

Table of Contents

Preface ix
PART I Fluid Mechanics Review 1(96)
Rotating Fluid Phenomena
3(20)
Mass and Momentum Conservation
23(20)
Eulerian Mechanics
23(1)
Mass Conservation
23(3)
Force and Momentum
26(3)
Navier-Stokes Equations
29(6)
Dimensionless Equations and Ratios
35(8)
Potential (Inviscid) Flow
43(14)
Bemoulli Equation
43(2)
Stream Functions and Velocity Potentials
45(3)
Flow Past a Circular Cylinder
48(5)
Pressure Components
53(4)
Boundary Layers and Turbulence
57(20)
Introduction and Two Solutions by Stokes
57(3)
Prandtl Boundary Layer Equations
60(4)
Flat Plate and Cylinder Solutions
64(3)
Momentum Integral Equation
67(3)
Turbulence and Stability
70(7)
Wave Theory
77(20)
Introduction and Definitions
77(7)
Longitudinal Waves
84(3)
Transverse Waves
87(6)
Mach Cones
93(4)
PART II Rotating Fluid Theory 97(136)
Rotating Coordinate Systems
99(14)
Intermediate Reference Frames
99(3)
Fluids in a Rotating Frame
102(2)
Ekman and Rossby Numbers
104(2)
Application Examples
106(7)
Coriolis Phenomena
113(14)
Coriolis Forces vs. Accelerations
113(4)
Coriolis and Angular Momentum
117(2)
Coriolis Force-Acceleration Criteria
119(2)
Application Examples
121(6)
Rotation, Vorticity, and Circulation
127(18)
Rotation
127(1)
Vorticity
128(6)
Circulation and Stokes Theorem
134(3)
Application Examples
137(8)
Vorticity as the Variable
145(14)
Vorticity in Navier-Stokes Equations
145(1)
Viscous Production of Vorticity
146(4)
Relative Vorticity
150(1)
Application Examples
150(9)
Vortex Dynamics
159(24)
Vortex Interactions in Two Dimensions
159(4)
Conservation of Vorticity and Circulation
163(6)
The Formula of Biot and Savart
169(1)
Rankine's Combined Vortex
170(3)
Vortex Intensification by Stretching
173(3)
Application Examples
176(7)
Secondary Flows
183(18)
Boundary Layer Review
183(1)
A Rotating Disk in a Stationary Fluid
183(5)
A Rotating Fluid above a Stationary Surface
188(3)
Enclosed Secondary Flows
191(3)
Application Examples
194(7)
Circular Pathline Flows
201(14)
Theoretical Criteria
201(1)
Some Important Flows
202(7)
Application Examples
209(6)
Rotation and Intertial Waves
215(18)
Rayleigh Instability
215(2)
Stability of Circular Pathline Flows
217(2)
Rossby Waves and Inertial Waves
219(3)
Atmospheric Rossby Waves I
222(3)
Instability and Turbulence
225(1)
Application Examples
226(7)
PART III Rotating Fluid Applications 233(168)
Pipes, Channels, and Rivers
235(16)
Swirl in Straight Sections
235(4)
Secondary Flow in Curved Sections
239(5)
River Meandering
244(1)
Abutment Undercutting
245(1)
Study and Research Projects
246(5)
Rotors and Centrifuges
251(14)
Thin Disk in a Housing
251(3)
Flow in a Cylindrical Annulus
254(1)
Centrifuges
255(5)
Cyclone Separators
260(1)
Study and Research Projects
261(4)
Wings, Lift, and Drag
265(14)
Circulation and Lift (Inviscid)
265(2)
Circulation and Lift (Viscous)
267(2)
Kutta-Zhukowskii Theory
269(1)
Finite Wings and Vortices
270(3)
Vertical Momentum and Induced Drag
273(2)
Study and Research Projects
275(4)
Turbomachinery
279(26)
Definitions and Classifications
279(8)
Internal Flow Characteristics
287(2)
Torque and Power Output
289(2)
Flow Calculations
291(7)
Performance Criteria
298(2)
Study and Research Projects
300(5)
Liquids in Precessing Spacecraft
305(14)
Rigid-Body Dynamics
305(4)
Energy Dissipation and Stability
309(2)
Solution: Analysis and Computation
311(2)
Solution: Scaled Experiments
313(3)
Study and Research Projects
316(3)
The Earth, Sun, and Moon
319(14)
Introduction
319(1)
Earth and Earth-Sun-Moon Dynamics
320(2)
Motions in the Liquid Core
322(3)
Chandler Wobble
325(2)
Tides and Earth-Sun-Moon Dynamics
327(2)
Study and Research Projects
329(4)
Atmospheric Circulation
333(16)
Introduction
333(3)
Convective Flow Patterns
336(2)
Coriolis Phenomena
338(3)
Planetary Flow Dynamics
341(2)
Atmospheric Rossby Waves II
343(1)
Study and Research Projects
344(5)
Oceanic Circulation
349(16)
Flow Patterns and Energy Sources
349(3)
Coriolis and Oceanic Gyres
352(1)
Western Intensification and Elevated Centers
353(2)
Localized Flow Phenomena
355(2)
Some Quantitative Analyses
357(4)
Study and Research Projects
361(4)
Intense Atmospheric Vortices
365(36)
Whirlwinds and Dust Devils
365(1)
Large-Scale Vortex Storms
366(2)
Hurricanes (Typhoons)
368(5)
Tomadoes
373(2)
Study and Research Projects
375(4)
Appendices
A Mathematical Relationships
379(6)
A.1 Vectors
379(1)
A.2 Matrices
379(1)
A.3 Direction Cosine Matrices
380(2)
A. 4 Dyadics and Tensors
382(1)
A.5 The Del Operator ∇
382(1)
A.6 Operations Using ∇
383(2)
B Stream Functions and Velocity Potentials
385(4)
B.1 Summary
385(1)
B.2 Basic Flows
385(1)
B.3 Sums of Two Flows
386(1)
B.4 Cylinders and Vortex Pairs
387(2)
C Equations of Motion
389(4)
C.1 Cartesian
389(1)
C.2 Cylindrical
389(1)
C.3 Spherical
390(3)
D Fluid Properties
393(4)
D.1 Units
393(1)
D.2 Properties of Air
393(1)
D.3 Properties of Water
394(1)
D.4 Common Gases and Liquids
394(1)
D.5 Compressible Fluids
395(2)
E Geophysical Data
397(4)
E.1 The Earth
397(1)
E.2 The Sun
397(1)
E.3 The Moon
397(1)
E.4 The Planets
398(1)
E.5 The Oceans
398(1)
E.6 The Standard Atmosphere
399(2)
References 401(14)
Index 415


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