《ELEMENTS OF HYDRODYNAMIC PROPULSION》

1.External force actions1

1.1Hydrodynamic forces on a moving body2

1.2 Force actions and shed vorticity7

1.3 External force fields and vorticity9

1.4 Solution of linearized equation of motion15

1.5 Vortex representation of solution19

1.6 Singular force perpendicular to its velocity23

1.7 Singular force in the direction of its velocity28

1.8 Work done by external force field and moving body30

1.9 Vorticity of a lifting surface，linearized theory34

1.10 Bound vortex “ending” at a plate39

1.11 Suction force at leading edge44

2.The actuator surface49

2.1Linearized actuator surface theory50

2.2 Actuator disk53

2.3 Thrust deduction60

2.4 Non linear actuator disk theory，162

2.5 Non linear actuator disk theory，270

2.6 Discussion of results and methods77

3.The ship screw79

3.1The geometry of the ship screw81

3.2 The screw blade with thickness and without load85

3.3 The velocity field induced by rotating force88

3.4 Screw blade of zero thickness，prescribed load，192

3.5 Screw blade of zero thickness，prescribed load，2105

3.6 Some additional remarks109

4.Unsteady propulsion114

4.1Some types of unsteady propulsion115

4.2 Small amplitude propulsion，two dimensional121

4.3 Solution of the Hilbert problem125

4.4 Thrust and efficiency130

4.5 Theoretical and experimental results133

4.6 Elastically coupled profiles135

4.7 The Voith-Schneider propeller138

4.8 Large amplitude unsteady propulsion，rigid profile140

4.9 Some additional remarks146

5.Optimization theory149

5.1Lifting surface system150

5.2 Energy extraction out of a disturbed fluid152

5.3 The variational problem for lifting surface systems158

5.4 Necessary condition for an optimum160

5.5 Optimum wing in up- or downward flow164

5.6 Classes of lifting surface systems，quality number168

5.7 The ideal propeller171

5.8 Comparison of the quality number of optimum propellers by inspection175

5.9 Energy extraction，translating rigid wing178

5.10 Optimum energy extraction by rigid wing184

6.Applications of optimization theory189

6.1Optimum screw propeller with endplates190

6.2 Properties of the potential193

6.3 Circulation distribution，thrust197

6.4 Efficiency and quality number198

6.5 Numerical results201

6.6 Optimization of the sails of a yacht206

6.7 Numerical results213

6.8 Optimum unsteady propulsion，large amplitude，two dimensional216

6.9 Angles of incidence，large amplitude，two dimensional220

6.10 Optimum large amplitude unsteady propulsion，finite span222

6.11 On the optimum Voith-Schneider propeller226

6.12 On the optimum large hub propeller228

7.Onthe existence of optimum propellers232

7.1 Small amplitude flexible profile233

7.2 Nonexistence of optimum added motion239

7.3 Large amplitude rigid profile242

7.4 The wagging motion244

7.5 Nonexistence of optimum base motion249

7.6 Small amplitude heaving motion252

7.7 The optimization problem257

7.8 Existence of optimum added motion259

7.9 Large amplitude propulsion flexible profile263

Appendices266

A.The Hilbert problem266

A.1The formulas of Plemelj266

A.2 The Hilbert problem for an are268

A.3 Singular integral equations269

B.Curvilinear coordinates271

B.1Tensor representation of some operators271

B.2 Two applications274

References277

Index280