Contents
Preface
xi
1
Introduction
1
2
Model Testing
8
2.1 Falling Body in a Vacuum
2.2 Pendulum
2.3 Water Waves
2.4 Drag Force on a Sphere
2.5 Viscous Drag on a Flat Plate
2.6 Viscous Drag on General Bodies
2.7 Hydrofoil Lift and Drag
2.8 Screw Propeller
2.9 Drag on a Ship Hull
2.10 Propeller-Hull Interactions
2.11 Unsteady Force on an Accelerating Body
2.12 Vortex Shedding
9
10
11
13
16
18
20
24
27
32
34
38
2.13 Wave Force on a Stationary Body
2.14 Body Motions in Waves
2.15 Ship Motions in Waves
39
42
46
Problems
References
3
The Motion of a Viscous Fluid
3.1 Description of the Flow
3.2 Conservation of Mass and Momentum
3.3 The Transport Theorem
3.4 The Continuity Equation
3.5 Euler's Equations
3.6 Stress Relations in a Newtonian Fluid
3.7 The Navier-Stokes Equations
3.8 Boundary Conditions
3.9 Body Forces and Gravity
3.10 The Flow between Two Parallel Walls
3.11 The Flow through a Pipe
3.12 External Flow past One Flat Plate
3.13 Unsteady Motion of a Flat Plate
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50
53
54
56
57
59
59
60
62
63
64
65
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67
69
3.14 Laminar Boundary Layers: Steady Flow Past a Flat Plate
3.15 Laminar Boundary Layers: Steady Two-Dimensional Flow
3.16 Laminar Boundary Layers: Closing Remarks
3.17 Turbulent Flow: General Aspects
3.18 Turbulent Boundary Layer on a Flat Plate
3.19 The 1/7-Power Approximation
3.20 Roughness Effects on Turbulent Boundary Layers
3.21 Turbulent Boundary Layers: Closing Remarks
Problems
References
4
The Motion of an Ideal Fluid
4.1 Irrotational Flows
4.2 The Velocity Potential
4.3 Bernoulli's Equations
4.4 Boundary Conditions
4.5 Simple Potential Flows
4.6 The Stream Function
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78
85
85
88
95
96
98
98
100
102
103
105
107
109
111
115
4.7 The Complex Potential
4.8 Conformal Mapping
4.9 Separation of Variables
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119
123
4.10 Fixed Bodies and Moving Bodies
4.11 Green's Theorem and Distributions of Singularities
4.12 Hydrodynamic Pressure Forces
4.13 Force on a Moving Body in an Unbounded Fluid
4.14 General Properties of the Added-Mass Coefficients
4.15 The Added Mass of Simple Forms
4.16 The Body-Mass Force
4.17 Force on a Body in a Nonuniform Stream
4.18 The Method of Images
Problems
References
5
Lifting Surfaces
5.1 Two-Dimensional Hydrofoil Theory
5.2 Linearized Two-Dimensional Theory
5.3 The Lifting Problem
5.4 Simple Foil Shapes
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127
132
135
140
144
148
149
152
154
157
159
161
164
168
172
5.5 Drag Force on a Two-Dimensional
Foil
5.6 Two-Dimensional Source and Vortex Distributions
5.7 Singular Integral Equations
5.8 Three-Dimensional Vortices
5.9 Three-Dimensional Planar Lifting Surfaces
5.10 Induced Drag
5.11 Lifting-Line Theory
5.12 Cavity Flows
5.13 Symmetric Cavity Flows
5.14 Supercavitating Lifting Foils
5.15 Unsteady Hydrofoil Theory
5.16 Oscillatory Time Dependence
5.17 The Sinusoidal Gust Problem
5.18 Transient Problems
Problems
References
6
Waves and Wave Effect
176
177
180
188
191
197
200
206
208
215
220
226
229
230
232
235
237
6.1 Linearized Free-Surface Condition
6.2 Plane Progressive Waves
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240
6.3 Finite-Depth Effects
6.4 Nonlinear Effects
6.5 Mass Transport
6.6 Superposition of Plane Waves
6.7 Group Velocity
6.8 Wave Energy
6.9 Two-Dimensional Ship Waves
6.10 Three-Dimensional Ship Waves
6.11 The Method of Stationary Phase
6.12 Energy Radiation and Wave Resistance
6.13 Thin-Ship Theory of Wave Resistance
6.14 Wave Pattern Analysis
6.15 Body Response in Regular Waves
6.16 Hydrostatics
6.17 Damping and Added Mass
6.18 Wave-Exciting Force and Moment
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252
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266
270
275
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284
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300
6.19 Motion of Floating Bodies in Regular Waves
6.20 Ocean Waves
6.21 Motions of Bodies in Irregular Waves
Problems
References
7
Hydrodynamics of Slender Bodies
7.1 Slender Body in an Unbounded Fluid
7.2 Longitudinal Motion
7.3 The Lateral Force
7.4 Ship Maneuvering: The Hydrodynamic Forces
7.5 Ship Maneuvering: The Equations of Motion
7.6 Slender Bodies in Waves
7.7 Strip Theory for Ship Motions
7.8 Slender Bodies in Shallow Water
Problems
References
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311
320
321
325
328
329
335
338
343
349
354
362
373
382
384
Appendix
387
Index
391