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ontents

Preface xi

ntroduction1

2Model Testing

8

2.1 Falling Body in a Vacuum9

2.2 Pendulum10

2.3 Water Waves11

2.4 Drag Force on a Sphere13

2.5 Viscous Drag on a Flat Plate16

2.6 Viscous Drag on General Bodies18

2.7 Hydrofoil Lift and Drag20

2.8 Screw Propeller24

2.9 Drag on a Ship Hull

27

2.10 Propeller-Hull Interactions32

2.11 Unsteady Force on an Accelerating Body34

2.12 Vortex Shedding38

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2.13 Wave Force on a Stationary Body39

2.14 Body Motions in Waves42

2.15 Ship Motions in Waves46

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Problems46

References50

3The Motion of a Viscous Fluid

53

3.1 Description of the Flow54

3.2 Conservation of Mass and Momentum56

3.3 The Transport Theorem 57

3.4 The Continuity Equation59

3.5 Euler's Equations59

3.6 Stress Relations in a Newtonian Fluid60

3.7 The Navier-Stokes Equations62

3.8 Boundary Conditions63

3.9 Body Forces and Gravity64

3.10 The Flow between Two Parallel Walls65

3.11 The Flow through a Pipe66

3.12 External Flow past One Flat Plate67

3.13 Unsteady Motion of a Flat Plate69

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3.14 Laminar Boundary Layers: Steady Flow Past a Flat Plate72

3.15 Laminar Boundary Layers: Steady Two-Dimensional Flow78

3.16 Laminar Boundary Layers: Closing Remarks85

3.17 Turbulent Flow: General Aspects85

3.18 Turbulent Boundary Layer on a Flat Plate88

3.19 The 1/7-Power Approximation95

3.20 Roughness Effects on Turbulent Boundary Layers96

3.21 Turbulent Boundary Layers: Closing Remarks98

Problems98

References100

4The Motion of an Ideal Fluid 102

4.1 Irrotational Flows103

4.2 The Velocity Potential105

4.3 Bernoulli's Equations107

4.4 Boundary Conditions109

4.5 Simple Potential Flows111

4.6 The Stream Function115

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4.7 The Complex Potential118

4.8 Conformal Mapping119

4.9 Separation of Variables123

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4.10 Fixed Bodies and Moving Bodies126

4.11 Green's Theorem and Distributions of Singularities127

4.12 Hydrodynamic Pressure Forces132

4.13 Force on a Moving Body in an Unbounded Fluid135

4.14 General Properties of the Added-Mass Coefficients140

4.15 The Added Mass of Simple Forms144

4.16 The Body-Mass Force148

4.17 Force on a Body in a Nonuniform Stream149

4.18 The Method of Images152

Problems154

References157

5Lifting Surfaces

159

5.1 Two-Dimensional Hydrofoil Theory161

5.2 Linearized Two-Dimensional Theory164

5.3 The Lifting Problem168

5.4 Simple Foil Shapes172

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5.5 Drag Force on a Two-DimensionalFoil

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5.6 Two-Dimensional Source and Vortex Distributions177

5.7 Singular Integral Equations

180

5.8 Three-Dimensional Vortices188

5.9 Three-Dimensional Planar Lifting Surfaces191

5.10 Induced Drag197

5.11 Lifting-Line Theory 200

5.12 Cavity Flows206

5.13 Symmetric Cavity Flows208

5.14 Supercavitating Lifting Foils215

5.15 Unsteady Hydrofoil Theory220

5.16 Oscillatory Time Dependence226

5.17 The Sinusoidal Gust Problem229

5.18 Transient Problems230

Problems232

References235

6Waves and Wave Effect

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6.1 Linearized Free-Surface Condition238

6.2 Plane Progressive Waves240

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6.3 Finite-Depth Effects243

6.4 Nonlinear Effects247

6.5 Mass Transport251

6.6 Superposition of Plane Waves252

6.7 Group Velocity257

6.8 Wave Energy260

6.9 Two-Dimensional Ship Waves266

6.10 Three-Dimensional Ship Waves270

6.11 The Method of Stationary Phase275

6.12 Energy Radiation and Wave Resistance278

6.13 Thin-Ship Theory of Wave Resistance281

6.14 Wave Pattern Analysis284

6.15 Body Response in Regular Waves285

6.16 Hydrostatics290

6.17 Damping and Added Mass295

6.18 Wave-Exciting Force and Moment300

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6.19 Motion of Floating Bodies in Regular Waves307

6.20 Ocean Waves311

6.21 Motions of Bodies in Irregular Waves320

Problems321

References325

7Hydrodynamics of Slender Bodies

328

7.1 Slender Body in an Unbounded Fluid

329

7.2 Longitudinal Motion335

7.3 The Lateral Force338

7.4 Ship Maneuvering: The Hydrodynamic Forces343

7.5 Ship Maneuvering: The Equations of Motion 349

7.6 Slender Bodies in Waves354

7.7 Strip Theory for Ship Motions362

7.8 Slender Bodies in Shallow Water373

Problems382

References384

Appendix 387

ndex 391

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