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Ship resistance and propulsion : Practical estimation of ship propulsive power
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SHIP RESISTANCE AND PROPULSION
Second Edition
This second edition provides a comprehensive and scientific approach to evaluating ship
resistance and propulsion. Written by experts in the field, it includes the latest developments in computational fluid dynamics (CFD), experimental techniques and guidance
for the practical estimation of ship propulsive power. It addresses the increasing emphasis on improving energy efficiency and reducing emissions, including the introduction of
the Energy Efficiency Design Index (EEDI). The text also includes sufficient published
standard series data for hull resistance and propeller performance to enable practitioners
to make ship power predictions based on material and data within the book, and numerous fully worked examples illustrate applications for cargo and container ships, tankers,
bulk carriers, ferries, warships, work boats, planing craft, yachts, hydrofoils, submarines
and autonomous underwater vehicles (AUVs). The book is ideal for practising naval
architects and marine engineers, sea-going officers, small craft designers, undergraduate
and postgraduate students, and professionals in transportation, transport efficiency and
eco-logistics.
Anthony F. Molland is Emeritus Professor of Ship Design at the University of Southampton. For many years, Professor Molland has extensively researched and published papers
on ship design and ship hydrodynamics, including propellers and ship resistance components, ship rudders and control surfaces. He also acts as a consultant to industry in
these subject areas and has gained international recognition through presentations at
conferences and membership of committees of the International Towing Tank Conference (ITTC). Professor Molland is co-author of Marine Rudders and Control Surfaces
(2007) and editor of the Maritime Engineering Reference Book (2008).
Stephen R. Turnock is Professor of Maritime Fluid Dynamics at the University of
Southampton. Professor Turnock lectures on many subjects, including ship resistance and
propulsion, powercraft performance, marine renewable energy and applications of CFD.
His research encompasses both experimental and theoretical work on energy efficiency of
shipping, performance sport, underwater systems and renewable energy devices, together
with the application of CFD for the design of propulsion systems and control surfaces. He
acts as a consultant to industry, and was on committees of the ITTC and the International
Ship and Offshore Structures Congress (ISSC). Professor Turnock is co-author of Marine
Rudders and Control Surfaces (2007).
Dominic A. Hudson is Shell Professor of Ship Safety and Efficiency at the University of
Southampton. Professor Hudson lectures on ship resistance and propulsion, powercraft
performance and design, recreational and high-speed craft, and ship design. His research
interests are in all areas of ship hydrodynamics, including experimental and theoretical
work on ship resistance components, seakeeping and manoeuvring, together with energyefficient ship design and operation. He was a member of the ISSC Committee on Sailing
Yacht Design and is a member of the 28th ITTC Specialist Committee on Performance
of Ships in Service, having previously served on the ITTC Seakeeping and High Speed
Craft Committees.
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Ship Resistance and Propulsion
PRACTICAL ESTIMATION OF
SHIP PROPULSIVE POWER
Second edition
Anthony F. Molland
University of Southampton
Stephen R. Turnock
University of Southampton
Dominic A. Hudson
University of Southampton
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University Printing House, Cambridge CB2 8BS, United Kingdom
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Cambridge University Press is part of the University of Cambridge.
It furthers the University’s mission by disseminating knowledge in the pursuit of
education, learning, and research at the highest international levels of excellence.
www.cambridge.org
Information on this title: www.cambridge.org/9781107142060
DOI: 10.1017/9781316494196
C Anthony F. Molland, Stephen R. Turnock, and Dominic A. Hudson 2017
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without the written
permission of Cambridge University Press.
First published 2011
Second edition 2017
Printed in the United Kingdom by Clays, St Ives plc
A catalogue record for this publication is available from the British Library
Library of Congress Cataloguing-in-Publication Data
Molland, Anthony F.
Ship resistance and propulsion : practical estimation of ship propulsive power /
Anthony F. Molland, Stephen R. Turnock, Dominic A. Hudson.
p. cm.
Includes bibliographical references and index.
ISBN 978-1-107-14206-0 (hardback)
1. Ship resistance. 2. Ship resistance – Mathematical models.
3. Ship propulsion. 4. Ship propulsion – Mathematical models.
I. Turnock, Stephen R. II. Hudson, Dominic A. III. Title.
VM751.M65 2017
623.8
12–dc22 2011002620
ISBN 978-1-107-14206-0 Hardback
Cambridge University Press has no responsibility for the persistence or accuracy
of URLs for external or third-party internet websites referred to in this publication
and does not guarantee that any content on such websites is, or will remain,
accurate or appropriate.
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Contents
Preface to the Second Edition page xvii
Preface to the First Edition xix
Nomenclature xxi
Abbreviations xxv
Figure Acknowledgements xxix
1 Introduction 1
History 1
Powering: Overall Concept 3
Improvements in Efficiency 3
references (chapter 1) 5
2 Propulsive Power 7
2.1 Components of Propulsive Power 7
2.2 Propulsion Systems 7
2.3 Definitions 9
2.4 Components of the Ship Power Estimate 10
3 Components of Hull Resistance 12
3.1 Physical Components of Main Hull Resistance 12
3.1.1 Physical Components 12
3.1.2 Momentum Analysis of Flow Around Hull 18
3.1.3 Systems of Coefficients Used in Ship Powering 21
3.1.4 Measurement of Model Total Resistance 23
3.1.5 Transverse Wave Interference 29
3.1.6 Dimensional Analysis and Scaling 33
3.2 Other Drag Components 37
3.2.1 Appendage Drag 37
3.2.2 Air Resistance of Hull and Superstructure 46
3.2.3 Roughness and Fouling 52
3.2.4 Wind and Waves 57
3.2.5 Service Power Margins 64
references (chapter 3) 65
v
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4 Model–Ship Extrapolation 70
4.1 Practical Scaling Methods 70
4.1.1 Traditional Approach: Froude 70
4.1.2 Form Factor Approach: Hughes 71
4.2 Geosim Series 72
4.3 Flat Plate Friction Formulae 73
4.3.1 Froude Experiments 73
4.3.2 Schoenherr Formula 77
4.3.3 The ITTC Formula 79
4.3.4 Other Proposals for Friction Lines 80
4.4 Derivation of Form Factor (1 + k) 80
4.4.1 Model Experiments 81
4.4.2 CFD Methods 82
4.4.3 Empirical Methods 82
4.4.4 Effects of Shallow Water 84
references (chapter 4) 84
5 Model–Ship Correlation 86
5.1 Purpose 86
5.2 Procedures 86
5.2.1 Original Procedure 86
5.2.2 ITTC1978 Performance Prediction Method 88
5.2.3 Summary 91
5.3 Ship Speed Trials and Analysis 91
5.3.1 Purpose 91
5.3.2 Trials Conditions 92
5.3.3 Ship Condition 92
5.3.4 Trials Procedures and Measurements 92
5.3.5 Corrections 93
5.3.6 Analysis of Correlation Factors and Wake Fraction 96
5.3.7 Summary 97
5.3.8 Updated Ship Speed Trials Procedures 97
references (chapter 5) 100
6 Restricted Water Depth and Breadth 102
6.1 Shallow Water Effects 102
6.1.1 Deep Water 102
6.1.2 Shallow Water 102
6.2 Bank Effects 105
6.3 Blockage Speed Corrections 105
6.4 Squat 108
6.5 Wave Wash 108
references (chapter 6) 110
7 Measurement of Resistance Components 113
7.1 Background 113
7.2 Need for Physical Measurements 113
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Contents vii
7.3 Physical Measurements of Resistance Components 115
7.3.1 Skin Friction Resistance 115
7.3.2 Pressure Resistance 121
7.3.3 Viscous Resistance 124
7.3.4 Wave Resistance 129
7.4 Flow Field Measurement Techniques 141
7.4.1 Hot-Wire Anemometry 142
7.4.2 Five-Hole Pitôt Probe 142
7.4.3 Photogrammetry 142
7.4.4 Laser-Based Techniques 144
7.4.5 Summary 146
references (chapter 7) 147
8 Wake and Thrust Deduction 149
8.1 Introduction 149
8.1.1 Wake Fraction 149
8.1.2 Thrust Deduction 149
8.1.3 Relative Rotative Efficiency ηR 150
8.2 Origins of Wake 150
8.2.1 Potential Wake: wP 150
8.2.2 Frictional Wake: wF 151
8.2.3 Wave Wake: wW 151
8.2.4 Summary 151
8.3 Nominal and Effective Wake 151
8.4 Wake Distribution 152
8.4.1 General Distribution 152
8.4.2 Circumferential Distribution of Wake 153
8.4.3 Radial Distribution of Wake 153
8.4.4 Analysis of Detailed Wake Measurements 155
8.5 Detailed Physical Measurements of Wake 155
8.5.1 Circumferential Average Wake 155
8.5.2 Detailed Measurements 156
8.6 Computational Fluid Dynamics Predictions of Wake 156
8.7 Model Self-Propulsion Experiments 156
8.7.1 Introduction 156
8.7.2 Resistance Tests 157
8.7.3 Propeller Open Water Tests 157
8.7.4 Model Self-Propulsion Tests 157
8.7.5 Trials Analysis 160
8.7.6 Wake Scale Effects 160
8.8 Empirical Data for Wake Fraction and Thrust Deduction
Factor 161
8.8.1 Introduction 161
8.8.2 Single Screw 161
8.8.3 Twin Screw 164
8.8.4 Effects of Speed and Ballast Condition 167
8.9 Effects of Shallow Water 167
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viii Contents
8.10 Tangential Wake 168
8.10.1 Origins of Tangential Wake 168
8.10.2 Effects of Tangential Wake 168
8.11 Submarine and AUV Wake and Thrust Deduction 169
8.11.1 Submarine and AUV Wake 169
8.11.2 Submarine and AUV Thrust Deduction 171
8.11.3 Submarine and AUV Relative Rotative Efficiency 171
references (chapter 8) 171
9 Numerical Estimation of Ship Resistance 174
9.1 Introduction 174
9.2 Historical Development 175
9.3 Available Techniques 176
9.3.1 Navier–Stokes Equations 176
9.3.2 Incompressible Reynolds Averaged Navier–Stokes
Equations (RANS) 177
9.3.3 Potential Flow 179
9.3.4 Free Surface 179
9.4 Interpretation of Numerical Methods 181
9.4.1 Introduction 181
9.4.2 Validation of Applied CFD Methodology 183
9.4.3 Access to CFD 185
9.5 Thin Ship Theory 186
9.5.1 Background 186
9.5.2 Distribution of Sources 187
9.5.3 Modifications to the Basic Theory 187
9.5.4 Example Results 188
9.6 Estimation of Ship Self-Propulsion Using RANS 188
9.6.1 Background 188
9.6.2 Mesh Generation 189
9.6.3 Boundary Conditions 189
9.6.4 Methodology 190
9.6.5 Results 192
9.6.6 Added Resistance in Waves 194
9.7 Summary 195
references (chapter 9) 195
10 Resistance Design Data 198
10.1 Introduction 198
10.2 Data Sources 198
10.2.1 Standard Series Data 198
10.2.2 Other Resistance Data 200
10.2.3 Regression Analysis of Resistance Data 200
10.2.4 Numerical Methods 201
10.3 Selected Design Data 202
10.3.1 Displacement Ships 202
10.3.2 Semi-Displacement Craft 218
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Contents ix
10.3.3 Planing Craft 222
10.3.4 Small Craft 230
10.3.5 Multihulls 233
10.3.6 Yachts 239
10.3.7 Submarines and AUVs 245
10.3.8 Hydrofoil Craft 249
10.4 Wetted Surface Area 252
10.4.1 Background 252
10.4.2 Displacement Ships 253
10.4.3 Semi-Displacement Ships, Round-Bilge Forms 253
10.4.4 Semi-Displacement Ships, Double-Chine Forms 256
10.4.5 Planing Hulls, Single Chine 256
10.4.6 Yacht Forms 257
references (chapter 10) 257
11 Propulsor Types 264
11.1 Basic Requirements: Thrust and Momentum Changes 264
11.2 Levels of Efficiency 264
11.3 Summary of Propulsor Types 265
11.3.1 Marine Propeller 265
11.3.2 Controllable Pitch Propeller (CP Propeller) 266
11.3.3 Ducted Propellers 266
11.3.4 Contra-Rotating Propellers 268
11.3.5 Tandem Propellers 268
11.3.6 Z-Drive Units 269
11.3.7 Podded Azimuthing Propellers 270
11.3.8 Waterjet Propulsion 271
11.3.9 Cycloidal Propeller 271
11.3.10 Paddle Wheels 272
11.3.11 Sails 272
11.3.12 Oars 273
11.3.13 Lateral Thrust Units 273
11.3.14 Other Propulsors 274
references (chapter 11) 275
12 Propeller Characteristics 277
12.1 Propeller Geometry, Coefficients, Characteristics 277
12.1.1 Propeller Geometry 277
12.1.2 Dimensional Analysis and Propeller Coefficients 282
12.1.3 Presentation of Propeller Data 282
12.1.4 Measurement of Propeller Characteristics 283
12.2 Cavitation 286
12.2.1 Background 286
12.2.2 Cavitation Criterion 288
12.2.3 Subcavitating Pressure Distributions 289
12.2.4 Propeller Section Types 291
12.2.5 Cavitation Limits 291
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12.2.6 Effects of Cavitation on Thrust and Torque 294
12.2.7 Cavitation Tunnels 296
12.2.8 Avoidance of Cavitation 298
12.2.9 Preliminary Blade Area – Cavitation Check 298
12.2.10 Example: Estimate of Blade Area 300
12.3 Propeller Blade Strength Estimates 301
12.3.1 Background 301
12.3.2 Preliminary Estimates of Blade Root Thickness 301
12.3.3 Methods of Estimating Propeller Stresses 302
12.3.4 Propeller Strength Calculations Using Simple Beam
Theory 303
12.4 Shape-Adaptive Foils 310
references (chapter 12) 310
13 Powering Process 313
13.1 Selection of Marine Propulsion Machinery 313
13.1.1 Selection of Machinery: Main Factors to Consider 313
13.1.2 Propulsion Plants Available 313
13.1.3 Propulsion Layouts 316
13.2 Propeller–Engine Matching 316
13.2.1 Introduction 316
13.2.2 Controllable Pitch Propeller (CP Propeller) 318
13.2.3 The Multi-Engined Plant 319
13.3 Propeller Off-Design Performance 320
13.3.1 Background 320
13.3.2 Off-Design Cases: Examples 321
13.4 Voyage Analysis and In-Service Monitoring 323
13.4.1 Background 323
13.4.2 Data Required and Methods of Obtaining Data 324
13.4.3 Methods of Analysis 324
13.4.4 Limitations in Methods of Logging and Data Available 327
13.4.5 Developments in Voyage Analysis 328
13.4.6 Further Data Monitoring and Logging 328
13.5 Dynamic Positioning 329
references (chapter 13) 330
14 Hull Form Design 332
14.1 General 332
14.1.1 Introduction 332
14.1.2 Background 332
14.1.3 Choice of Main Hull Parameters 333
14.1.4 Choice of Hull Shape 337
14.2 Fore End 341
14.2.1 Basic Requirements of Fore End Design 341
14.2.2 Bulbous Bows 342
14.2.3 Cavitation 347
14.3 Aft End 347
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Contents xi
14.3.1 Basic Requirements of Aft End Design 347
14.3.2 Stern Hull Geometry to Suit Podded Units 350
14.3.3 Shallow Draught Vessels 352
14.4 Influence of Hull Form on Seakeeping 353
14.5 Computational Fluid Dynamics Methods Applied to Hull Form
Design 354
references (chapter 14) 355
15 Numerical Methods for Propeller Analysis 359
15.1 Introduction 359
15.2 Historical Development of Numerical Methods 359
15.3 Hierarchy of Methods 360
15.4 Guidance Notes on the Application of Techniques 361
15.4.1 Blade Element-Momentum Theory 361
15.4.2 Lifting Line Theories 362
15.4.3 Surface Panel Methods 362
15.4.4 Reynolds Averaged Navier–Stokes 364
15.5 Blade Element-Momentum Theory 365
15.5.1 Momentum Theory 365
15.5.2 Goldstein K Factors [15.8] 367
15.5.3 Blade Element Equations 369
15.5.4 Inflow Factors Derived from Section Efficiency 371
15.5.5 Typical Distributions of a, a and dKT/dx 373
15.5.6 Section Design Parameters 373
15.5.7 Lifting Surface Flow Curvature Effects 374
15.5.8 Calculations of Curvature Corrections 375
15.5.9 Algorithm for Blade Element-Momentum Theory 377
15.6 Propeller Wake Adaption 378
15.6.1 Background 378
15.6.2 Optimum Spanwise Loading 379
15.6.3 Optimum Diameters with Wake-Adapted Propellers 381
15.7 Effect of Tangential Wake 382
15.8 Examples Using Blade Element-Momentum Theory 383
15.8.1 Approximate Formulae 383
15.8.2 Example 1 384
15.8.3 Example 2 385
15.8.4 Example 3 386
15.9 Numerical Prediction of Cavitation 388
15.10 Assessment of Propeller Noise 390
15.11 Summary 391
references (chapter 15) 391
16 Propulsor Design Data 395
16.1 Introduction 395
16.1.1 General 395
16.1.2 Number of Propeller Blades 395
16.2 Propulsor Data 397
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xii Contents
16.2.1 Propellers 397
16.2.2 Controllable Pitch Propellers 415
16.2.3 Ducted Propellers 415
16.2.4 Podded Propellers 416
16.2.5 Cavitating Propellers 421
16.2.6 Supercavitating Propellers 423
16.2.7 Surface-Piercing Propellers 425
16.2.8 High-Speed Propellers, Inclined Shaft 429
16.2.9 Small Craft Propellers: Locked, Folding and
Self-Pitching 429
16.2.10 Waterjets 431
16.2.11 Vertical Axis Propellers 435
16.2.12 Paddle Wheels 436
16.2.13 Lateral Thrust Units 436
16.2.14 Oars 438
16.2.15 Sails 439
16.3 Hull and Relative Rotative Efficiency Data 443
16.3.1 Wake Fraction wT and Thrust Deduction t 443
16.3.2 Relative Rotative Efficiency, ηR 443
16.4 Submarine and AUV Propulsor Design 445
16.4.1 Submarine Propeller 445
16.4.2 AUV Propeller 446
references (chapter 16) 446
17 Reductions in Propulsive Power and Emissions 451
17.1 Introduction 451
17.2 Potential Savings in Hull Resistance 451
17.3 Potential Savings in Propeller Efficiency 452
17.3.1 Main Energy Losses 452
17.3.2 Detailed Design Modification to Propeller 456
17.3.3 Hull–Propeller–Rudder Interaction 456
17.4 Power Savings During Operation 456
17.4.1 Speed 456
17.4.2 Effects of Trim on Hull Resistance 457
17.4.3 Hull Surface Finish 458
17.4.4 Hull/Propeller Cleaning 459
17.4.5 Minimum Water Ballast 459
17.4.6 Weather Routeing 459
17.5 Energy Saving Devices (ESDs) 460
17.5.1 Working Principles 460
17.5.2 Upstream Fins 460
17.5.3 Upstream Ducts (Pre-Ducts) 460
17.5.4 Twisted Stern Upstream of Propeller 461
17.5.5 Downstream Fins 461
17.5.6 Twisted Rudder 461
17.5.7 Integrated Propeller–Rudder 461
17.5.8 Propeller Boss Cap Fins (PBCFs) 461
17.5.9 Summary 462
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Contents xiii
17.6 Auxiliary Propulsion Devices 462
17.6.1 Wind 462
17.6.2 Wave 463
17.6.3 Solar: Using Photovoltaic Cells 463
17.6.4 Gyroscopic Systems 463
17.6.5 Auxiliary Power–Propeller Interaction 464
17.6.6 Applications of Auxiliary Power 464
17.7 Alternative Fuels 464
17.8 Alternative Machinery/Propulsor Arrangements 464
17.9 Energy Efficiency Design Index (EEDI) 465
17.9.1 Introduction 465
17.9.2 EEDI Formula 465
17.9.3 Power P 466
17.9.4 Capacity C 466
17.9.5 Speed Vref 466
17.9.6 Correction Factors in Equation (17.10) 467
17.9.7 EEDI Reference Line 467
17.9.8 Ship Types Subject to EEDI Regulations 467
17.9.9 Implementation of EEDI 468
17.9.10 Reduction in EEDI (Methods of Reducing EEDI) 468
17.9.11 Minimum Propulsive Power 469
17.10 Summary 469
references (chapter 17) 469
18 Applications 474
18.1 Background 474
18.2 Example Applications 474
18.2.1 Example Application 1. Tank Test Data: Estimate of
Ship Effective Power 474
18.2.2 Example Application 2. Model Self-Propulsion Test
Analysis 476
18.2.3 Example Application 3. Wake Analysis from
Full-Scale Trials Data 477
18.2.4 Example Application 4. 140 m Cargo Ship: Estimate
of Effective Power 478
18.2.5 Example Application 5. Tanker: Estimates of
Effective Power in Load and Ballast Conditions 479
18.2.6 Example Application 6. 8000 TEU Container Ship:
Estimates of Effective and Delivered Power 480
18.2.7 Example Application 7. 135 m Twin-Screw Ferry,
18 knots: Estimate of Effective Power PE 485
18.2.8 Example Application 8. 45.5 m Passenger Ferry,
37 knots, Twin-Screw Monohull: Estimates of
Effective and Delivered Power 488
18.2.9 Example Application 9. 98 m Passenger/Car Ferry,
38 knots, Monohull: Estimates of Effective and
Delivered Power 491
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18.2.10 Example Application 10. 82 m Passenger/Car
Catamaran Ferry, 36 knots: Estimates of Effective and
Delivered Power 493
18.2.11 Example Application 11. 130 m Twin-Screw Warship,
28 knots, Monohull: Estimates of Effective and
Delivered Power 496
18.2.12 Example Application 12. 35 m Patrol Boat, Monohull:
Estimate of Effective Power 502
18.2.13 Example Application 13. 37 m Ocean-Going Tug:
Estimate of Effective Power 504
18.2.14 Example Application 14. 14 m Harbour Work Boat,
Monohull: Estimate of Effective Power 504
18.2.15 Example Application 15. 18 m Planing Craft,
Single-Chine Hull: Estimates of Effective Power
Preplaning and Planing 506
18.2.16 Example Application 16. 25 m Planing Craft, 35 knots,
Single-Chine Hull: Estimate of Effective Power 509
18.2.17 Example Application 17. 10 m Yacht: Estimate of
Performance 511
18.2.18 Example Application 18. Tanker: Propeller
Off-Design Calculations 515
18.2.19 Example Application 19. Twin-Screw Ocean-Going
Tug: Propeller Off-Design Calculations 518
18.2.20 Example Application 20. Ship Speed Trials:
Correction for Natural Wind 521
18.2.21 Example Application 21. Detailed Cavitation Check
on Propeller Blade Section 522
18.2.22 Example Application 22. Estimate of Propeller Blade
Root Stresses 524
18.2.23 Example Application 23. Propeller Performance
Estimates Using Blade Element-Momentum
Theory 525
18.2.24 Example Application 24. Wake-Adapted Propeller 527
18.2.25 Example Application 25. Patrol Class Submarine:
Estimates of Effective and Delivered Power 528
18.2.26 Example Application 26. AUV: Estimates of Effective
and Delivered Power 530
references (chapter 18) 532
APPENDIX A1: Background Physics 533
A1.1 Background 533
A1.2 Basic Fluid Properties and Flow 533
Fluid Properties 533
Steady Flow 535
Uniform Flow 535
Streamline 535
A1.3 Continuity of Flow 535
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Contents xv
A1.4 Forces Due to Fluids in Motion 536
A1.5 Pressure and Velocity Changes in a Moving Fluid 536
A1.6 Boundary Layer 537
Origins 537
Outer Flow 537
Flow Within the Boundary Layer 538
Displacement Thickness 539
Laminar Flow 540
A1.7 Flow Separation 540
A1.8 Wave Properties 541
Wave Speed 542
Deep Water 542
Shallow Water 542
references (appendix a1) 543
APPENDIX A2: Derivation of Eggers Formula for Wave Resistance 544
APPENDIX A3: Tabulations of Resistance Design Data 547
APPENDIX A4: Tabulations of Propulsor Design Data 581
Index 587
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