Hydrodynamic Propulsion and Its Optimization: Analytic Theory

Portada
Springer Science & Business Media, 31 de des. 1994 - 376 pàgines
HYDRODYNAMIC PROPULSION AND ITS OPTIMIZATION ANALYTIC THEORY Hydrodynamic propulsion has been of major interest ever since craft took to the water. In the course of time, many attempts have been made to invent, develop, or to improve hydrodynamic propulsion devices. Remarkable achievements in this field were made essentially by experienced individuals, who were in need of reliable propulsion units such as paddle wheels, sculling devices, screw propellers, and of course, sails. The problem of minimizing the amount of input energy for a prescribed effective output was first investigated seriously at the beginning of this century. In 1919, BETZ presented a paper on air-screw propellers with minimum consumption of energy which could be applied to ship-screw propellers also. Next, attempts were made to optimize hydrodynamic propulsion units. Ensuing investigations concerned the optimization of the hydrodynamic system: ship-propeller. The first simple theory of ship propulsion which was presented considered more or less only thrust augmentation, wake processing and modification of propeller characteristics when operating behind the ships hull. This theory has been little improved meanwhile and is still useful, particularly with regard to practical ship design and for evaluating results of ship model tests. However, this theory is not adequate for optimization procedures necessary for high-technology propulsion, particularly for ship propellers utilizing propulsion improving devices such as tip end plates or tip fins at the propeller blades, spoilers in front of the propeller, asymmetrical stern etc.
 

Continguts

Basic Hydrodynamics
1
11 Representation of a Vector Field by Its Divergence and Its Rotation
2
12 Equations of Motion Bernoullis Equation Boundary Condition
6
13 External Force Fields and Vorticity
9
14 Solution of the Linearized Equations of Motion
16
15 Singular Blow and the Divergenceless Dipole
18
16 Singular Force Moving through the Fluid
22
17 Singular Force Aligned with Its Velocity
25
Optimization Theory
204
51 Lifting Surface System
205
52 Energy Extraction out of a Disturbed Fluid One Wing
207
53 Energy Extraction out of a Disturbed Fluid Many Wings
212
54 The Variational Problem for Lifting Surface Systems
214
55 Necessary Condition for an Optimum
218
56 Influence of a Disturbance Velocity Field
221
57 Classes of Lifting Surface Systems
225

18 Singular Force Perpendicular to Its Velocity
28
19 Reference Surface and Planform of Lifting Surface
32
110 Formulation of Lifting Surface Theory Velocity Dipole Layer
35
111 Reformulation of Velocity Component Normal to St
39
112 Continuity of the Normal Velocity Component
44
113 Simplification of the Normal Velocity Component
47
114 Stationary Lifting Surface Theory
52
115 Forces and Moments Exerted on a Fluid by a Moving Body
57
116 Force Actions Exerted by a Body and Shed Vorticity
62
117 Work Done by External Force Field and Moving Body
64
118 Vorticity of a Lifting Surface and Induced Resistance Linear Theory
68
119 Bound Vortex Ending at Plate of Finite Dimensions
74
120 Stream Function in Curvilinear Coordinates and Orthogonality Property of Flow behind a Screw Propeller
79
121 Suction Force at Leading Edge of Lifting Surface
83
122 About the RollUp of Free Vortex Sheets
88
The Actuator Surface
95
21 Linearized Actuator Disk Theory
96
22 Vorticity of the Linearized Actuator Disk
100
23 Thrust Deduction and Thrust Augmentation
105
24 Unsteady Actuator Disk with Duct
108
25 Efficiency of Unsteady Actuator Disk without Duct
111
26 Efficiency of Unsteady Actuator Disk with Duct
114
27 Steady Axisymmetric Force Field in a Homogeneous Flow
117
28 NonLinear Actuator Disk Theory
121
29 About the Singularity at the Edge of a Disk NonLinear Theory
128
210 Miscellaneous Remarks about NonLinear Actuator Disk Theory
134
The Ship Screw
138
31 The Geometry of the Screw Propeller
140
32 Screw Blades with Thickness and without Load
143
33 Screw Blades of Zero Thickness Prescribed Load 1
147
34 The Meaning of the Hadamard Principle Value
151
35 Screw Blades of Zero Thickness Prescribed Load 2
153
36 Some Additional Remarks
160
Unsteady Propulsion
164
41 Concepts of Unsteady Propulsion Linear Theory
165
42 Concepts of Unsteady Propulsion SemiLinear Theory
169
43 SmallAmplitude Propulsion 2Dimensional
174
44 Solution of the Hilbert Problem
178
45 Thrust and Efficiency of 2Dimensional SmallAmplitude Propulsion
183
46 Theoretical and Experimental Results
186
47 LargeAmplitude Unsteady Propulsion Rigid Profile
188
48 LargeAmplitude Unsteady Propulsion Rigid Wing of Finite Span
193
49 The VoithSchneider Propeller
199
410 Some Remarks and Conclusions
201
58 Quality Number
227
59 An Ideal Propeller
230
510 Comparison of the Efficiency of Optimum Propellers by Inspection
234
511 On the Optimization of a Rigid Lifting Surface in a Disturbed Fluid
237
512 Optimum Energy Extraction by a Rigid Wing
243
513 Some Additional Remarks
247
Applications of Optimization Theory
251
61 Screw Propeller with or without End Plates Basic Notations
252
62 Optimization of the Screw Propeller
255
63 Some Aspects of Optimum Screw Propellers
259
64 Numerical Method and Results the Quality Number
263
65 On the Shape of End Plates
268
66 Determination of Optimum Values of w and k
274
67 On the Optimum Large Hub Screw Propeller
276
68 Optimum Large Amplitude Unsteady Propulsion Wings of Finite Span
279
69 Base Motion of Two Rigid Flat Profiles 2Dimensional
282
610 Optimum Shed Vorticity Quality Number and Added Motion
286
611 Numerical Results
291
612 On the Optimum VoithSchneider Propeller
294
613 Optimization of the Sails of a Yacht
296
614 Numerical Results
302
On the Existence of Optimum Propulsion
306
71 Small Amplitude Flexible Profile
307
72 NonExistence of Optimum Added Motion
312
73 Large Amplitude Rigid Profile
315
74 The Wagging Motion
317
75 NonExistence of Optimum Base Motion
322
76 Small Amplitude Heaving Motion
325
77 The Optimization Problem
329
78 Existence of Optimum Added Motion
332
79 Numerical Results for Optimum Heaving Motion
338
710 Results about Optimum Heaving and Pitching Motion
341
Appendices
345
A2 The Hilbert Problem for an Arc
346
A3 Singular Integral Equations
347
B Curvilinear Coordinates
350
B2 Cylindrical and Helicoidal Coordinate Systems
354
C Some Identities
356
D On Linear Partial Differential Equations
357
D2 Solution of Linear Partial Differential Equations
358
E Dimension Analysis
359
References
363
Index
367
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