Hydrodynamic Propulsion and Its Optimization/Гидродинамический привод и его оптимизация

Издание на английском языке
The book "Hydrodynamic motion and its optimization - analytical theory" is devoted to the optimization of hydrodynamic systems used in shipping. It offers mathematical tools for analyzing and evaluating both traditional and non-traditional propulsion methods, including optimizing propellers and other devices that improve ship traffic efficiency. The book also examines the problems of minimizing energy consumption and increasing the efficiency of propulsive systems, depending on the load and flow configuration.

Contents
Preface
Chapter 1: Basic Hydrodynamics
1.1. Representation of a Vector Field by Its Divergence and Its Rotation
1.2. Equations of Motion, Bernoulli’s Equation, Boundary Condition
1.3. External Force Fields and Vorticity
1.4. Solution of the Linearized Equations of Motion
1.5. Singular Blow and the Divergenceless Dipole
1.6. Singular Force Moving through the Fluid
1.7. Singular Force Aligned with Its Velocity
1.8. Singular Force Perpendicular to Its Velocity
1.9. Reference Surface and Planform of Lifting Surface
1.10. Formulation of Lifting Surface Theory, Velocity Dipole Layer
1.11. Reformulation of Velocity Component Normal to S(t)
1.12. Continuity of the Normal Velocity Component
1.13. Simplification of the Normal Velocity Component
1.14. “Stationary” Lifting Surface Theory
1.15. Forces and Moments Exerted on a Fluid by a Moving Body
1.16. Force Actions Exerted by a Body and Shed Vorticity
1.17. Work Done by External Force Field and Moving Body
1.18. Vorticity of a Lifting Surface and Induced Resistance, Linear Theory
1.19. Bound Vortex “Ending” at Plate of Finite Dimensions
1.20. Stream Function in Curvilinear Coordinates and Orthogonality Property of Flow behind a Screw Propeller
1.21. Suction Force at Leading Edge of Lifting Surface
1.22. About the Roll-Up of Free Vortex Sheets
Chapter 2: The Actuator Surface
2.1. Linearized Actuator Disk Theory
2.2. Vorticity of the Linearized Actuator Disk
2.3. Thrust Deduction and Thrust Augmentation
2.4. Unsteady Actuator Disk with Duct
2.5. Efficiency of Unsteady Actuator Disk, without Duct
2.6. Efficiency of Unsteady Actuator Disk, with Duct
2.7. Steady Axisymmetric Force Field in a Homogeneous Flow
2.8. Non-Linear Actuator Disk Theory
2.9. About the Singularity at the Edge of a Disk, Non-Linear Theory
2.10. Miscellaneous Remarks about Non-Linear Actuator Disk Theory
Chapter 3: The Ship Screw
3.1. The Geometry of the Screw Propeller
3.2. Screw Blades with Thickness and without Load
3.3. Screw Blades of Zero Thickness, Prescribed Load, 1
3.4. The Meaning of the Hadamard Principle Value
3.5. Screw Blades of Zero Thickness, Prescribed Load, 2
3.6. Some Additional Remarks
Chapter 4: Unsteady Propulsion
4.1. Concepts of Unsteady Propulsion, Linear Theory
4.2. Concepts of Unsteady Propulsion, Semi-Linear Theory
4.3. Small-Amplitude Propulsion, 2-Dimensional
4.4. Solution of the Hilbert Problem
4.5. Thrust and Efficiency of 2-Dimensional Small-Amplitude Propulsion
4.6. Theoretical and Experimental Results
4.7. Large-Amplitude Unsteady Propulsion, Rigid Profile
4.8. Large-Amplitude Unsteady Propulsion, Rigid Wing of Finite Span
4.9. The Voith-Schneider Propeller
4.10. Some Remarks and Conclusions
Chapter 5: Optimization Theory
5.1. Lifting Surface System
5.2. Energy Extraction out of a Disturbed Fluid, One Wing
5.3. Energy Extraction out of a Disturbed Fluid, Many Wings
5.4. The Variational Problem for Lifting Surface Systems
5.5. Necessary Condition for an Optimum
5.6. Influence of a Disturbance Velocity Field
5.7. Classes of Lifting Surface Systems
5.8. Quality Number
5.9. An Ideal Propeller
5.10. Comparison of the Efficiency of Optimum Propellers by Inspection
5.11. On the “Optimization” of a Rigid Lifting Surface in a Disturbed Fluid
5.12. Optimum Energy Extraction by a Rigid Wing
5.13. Some Additional Remarks
Chapter 6: Applications of Optimization Theory
6.1. Screw Propeller with or without End Plates, Basic Notations
6.2. Optimization of the Screw Propeller
6.3. Some Aspects of Optimum Screw Propellers
6.4. Numerical Method and Results, the Quality Number
6.5. On the Shape of End Plates
6.6. Determination of Optimum Values of cj and к
6.7. On the Optimum Large Hub Screw Propeller
6.8. Optimum Large Amplitude Unsteady Propulsion, Wings of Finite Span
6.9. Base Motion of Two Rigid Flat Profiles, 2-Dimensional
6.10. Optimum Shed Vorticity, Quality Number and Added Motion
6.11. Numerical Results
6.12. On the Optimum Voith-Schneider Propeller
6.13. Optimization of the Sails of a Yacht
6.14. Numerical Results
Chapter 7: On the Existence of Optimum Propulsion
7.1. Small Amplitude Flexible Profile
7.2. Non-Existence of Optimum Added Motion
7.3. Large Amplitude Rigid Profile
7.4. The Wagging Motion
7.5. Non-Existence of Optimum Base M otion
7.6. Small Amplitude Heaving Motion
7.7. The Optimization Problem
7.8. Existence of Optimum Added Motion
7.9. Numerical Results for Optimum Heaving Motion
7.10. Results about Optimum Heaving and Pitching Motion
Appendices
A. The Hilbert Problem
A. 1. The Formulas of Plemelj
A.2. The Hilbert Problem for an Arc
A. З. Singular Integral Equations
B. Curvilinear Coordinates
B. 1. Concepts of Tensor Analysis
B.2. Cylindrical and Helicoidal Coordinate Systems
C. Some Identities
D. On Linear Partial Differential Equations
D. 1. The Convolution
D.2. Solution of Linear Partial Differential Equations
E. Dimensional Analysis
References
Index