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Marine Hydrodynamics.pdf

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contents
preface
1 introduction
2 model testing
2.1 Falling body in a vacuum
2.2 Pendulum
2.3 Water waves
2.4 Drag force on a sphere
2.5 Viscous drag on a flat plate
2.6 Viscous drag on general bodies
2.7 hydrofoil lift and drag
2.8 Screw propeller
2.9 Drag on a ship hull
2.10 Propeller-hull interactions
2.11 Unsteady force on an acclerating body
2.12 Vortex shedding
2.13 Wave force on a stationary body
2.14 body motions in waves
2.15 Ship motions in waves
P roblems
3 The motion of a viscous fluid
3.1 Description of the flow
3.2 Conservation of mass and momentum
3.3 The transport theorem
3.4 The continuty equation
3.5 Euler's equations
3.6 Stress relations in a Newtonian fluid
3.7 The Navier-Stokes equations
3.8 Boundary conditions
3.9 Body forces and gravity
3.10 The flow between two parallel walls(plane couette flow )
3.11 The flow through a pipe
3.12 External flow past one flat plate
3.13 Unsteady motion of a flat plate
3.14 Laminar boundaty layers:steady flow past a flat plate
3.15 Laminar boundary layers:steady two-dimensional flow
3.16 Laminar boundary layers:closing remarks
3.17 Turbulent flow: General aspects
3.18 Turbulent boundary layer on a flat plate
3.19 The 1/7-power approximation
3.20 Roughness efects on turbulent boundary layers
3.21 Turbulent boundary layers: closing remarks
Problems
4 The motion of an ideal fluid
4.1 Irrotational flows
4.2 The velocity potential
4.3 Bernoulli's equations
4.4 Boundary conditions
4.5 Simple potential flows
4.6 The stream function
4.7 The complex potential
4.8 Conformal mapping
4.9 Seperation of variables
4.10 Fixed bodies and moving bodies
4.11 Green's theorem and distribution of singularities
4.12 Hydrodynamic pressure forces
4.13 Force on a moving body in an unbounded fluid
4.14 General properties of the added-mass coefficients
4.15 The added-mass of simple forms
4.16 The body-mass force
4.17 Force on a body in a nonuniform stream
4.18 The method of images
Problems
5 Lifting surfaces
5.1 Two-dimensional hydrofoil theory
5.2 Linearized two-dimensional theory
5.3 The lifting problems
5.4 Simple foil shapes
5.5 Drag force on a two-dimensional foil
5.6 Two-dimensional source and vortex distributions
5.7 Singular Integral equations
5.8 Three-dimensional vortices
5.9 Three-dimensional planar lifting surfaces
5.10 Induced drag
5.11 Lifting-line theory
5.12 Cavity flows
5.13 Symmetric cavity flows
5.14 Supercavitating lifting foils
5.15 unsteady hydrofoil theory
5.16 Oscillatory time dependence
5.17 The sinusoidal gust problem
5.18 Transient problems
Problems
6 Waves and waves effects
6.1 Linearized free-surface condition
6.2 Plane progressive waves
6.3 Finite-depth effects
6.4 Nonlinear effects
6.5 Mass transport
6.6 Superposition of plane waves
6.7 Group velocity
6.8 Wave energy
6.9 Two-dimensional ship waves
6.10 Three-dimensional ship waves
6.11 The method of stationary phase
6.12 Energy radiation and wave resistance
6.13 Thin-ship theory of wave resistance
6.14 Wave pattern analysis
6.15 Body response in regulat waves
6.16 Hydrostatices
6.17 Damping and added mass
6.18 Wave-exciting force and moment
6.19 Motion of floating bodies in regular waves
6.20 Ocean waves
6.21 Motions of bodies in irregular waves
Probl ems
7 Hydrodynamics of slender bodies
7.1 Slender body in an unbounded fluid
7.2 Longitudinal motion
7.3 The lateral force
7.4 Ship maneuvering: the hydrodynamic force
7.5 Ship maneuvering: the equations of motions
7.6 Slender bodies in waves
7.7 Strip theory for ship motion
7.8 Slender bodies in shallow water
Problems
Appendix - Units of measurement and physical constants
      Marine Hydrodynamics J N . N ewman The MIT Press Cambridge, Ma$~chusetts, and LoodoJl, England                         Ninth prir.ting, 1999 Copyright" 1977 by The Ma" achusetis Institute of Technology All rights ceserved. N o part of this book may be reproduced in any fonn or by any means, electronic or mechanical, including photocopying, recording, or by any infor:nation storage and retrieval system, without pennissio~ in writing from the publisher F.g.;v Printed and bound in the United States of Americ a by Maple-V ail, Ine Library or Congress Cataloginlil in Publication Data N ewman, John N icholas, 1935- Marine hydrodynamics Includes bibliographies and index 1. Ships-Hydrodynamics. 2. Hydrodynamics 1 Title V1!156.N48 ISBN 0-262-14026-8 623.8'144 77-7524          
    I 2  Content§ Preface Intro duction 2 M odd Te sting 2.1 Falling Body 1!l a V acuum 2.2 Pendulum. 2.3 W ater W aves 2.4 Drag F orce on a Sphere 2.5 Vi, cous Drag on a Flat ~ 2.6 ViscollS Drag on Gt:neral Bodies 2.7 Hydrofoil Lift and Drag 2.8 Screw Propeller 2.9 Drag ona Ship Hull 2. 10 Propeller -HuD Interactions 2.11 Unsteady Force on an Accelerating Body 2.12 V ortex Shedding 2.13 W ave Force on a Stationary Body 2.14 Body Motioru in Waves 2;.15 Ship Motions in Waves Problems Referenc es         8 9 10 11 13 16 18 20 32 34 38 39 46 50                          
 I 3    3 The Motion of a Viscous Fluid 3.1 Descnption of the Flow 3.2 Cons ervation of Mass and Momentum 3.3 The Transport Theorem 3.4 The Continuity Equation 3.5 Euler's Equations 3.6 Stress R elations 1ll a N ewtoruan Fluid 3.7 The NaV1er-Stokes Equations 3.8 Boundary Conditions 3.9 Body Forc es and Gravity 3.10 The Flow b etween Two Parallel Walls 3.11 The Flow through a Pip e 3.12 External Flow past One Flat Plate 3.13 Unsteady Motion of a Flat Plate 3.14 Lammar Boundary Layers Steady Flow Past a Flat Plate 3.15 Lammar Boundary Layers Steady Two-Dimens1Onal Flow 3.16 Lammar Boundary Layers: Closmg R emarks 3.17 Turbulent Flow: General Asp ects 3.18 Turbulent Boundary Layer on a Flat Plate 3.19 The 1n-Power Approxunation 53 54 56 57 59 59 60 62 63 64 65 66 67 69 72 78 85 85 88 95
  I 4    3. 2C Roughness Effect, on Turbulent B01.lldary Layers 3.21 Turbulent Bound,.-y Layers ClosmgRemarks Problems 4 The Motion of an Ideal Fluid 4.1 Irrotational Flows 4.2 The V elocity P otential 4.~ Bemoulli's Equnons 4.4 Boundary Condtions 4.: Simple Potential Flows 4.0 The Stream Function 4.1 The Complex Potential 4. t Confonnol Map~1ng 4.S Separation ofVanables 4.10 Fixed Bodies and Movmg Bodies 4. 11 Green's Theorem and Distributions of Singularities 4. 12 Hydrodynarruc Pressure ? ore es 4.13 Forc e on a Movmg Body 1Il an Unbounded Fluid 4. 14 General Prop erties of the Added-Mass Co effic1ents 4.15 The Added Mass of Simple Fonns       96 98 98 100 102 103 105 107 109 111 115 118 119 123 126 127 132 135 140 144  
 I 5    4.16 The Body-Mass Forc e 4.17 Forc e on a Body 1ll a Nonunifonn Stream 4.18 The M ethod of Images Problems Referenc es 5 Lifting Surfaces 5.1 Two-Dimens1Onal Hydrofoil Theory 5.2 Linearued Two-Dimens1Onal Theory 5.3 The Lifting Problem 5.4 Simple Foil Shap es 5.5 Drag Force on a Two-Dimens1Onal Foil 5.6 Two-Dimens1Onal Source and Vortex Distributions 5.7 Singular Integral Equations 5.8 1bree -DimenslOnal Vortic es 5.9 1bree -DimenslOnal Planar Lifting Surfaces 5.10 Induc ed Drag 5.11 Lifting-Line Theory 5.12 Cavity Flows 5.13 Symmetric Cavity Flows 5. 14 Supercavitating Lifting Foils 148 149 152 154 157 159 161 164 168 172 176 177 180 188 191 197 200 206 208 215
 I 6    5.15 Unsteady Hydrofoil Theory 5.16 Oscillatory Time D ep endenc e 5.17 The Sinusoidal Gust Problem 5.18 TranS1ent Problems Problems R eferenc es 6 Waves and Wave Effect 6.1 Lineanzed Free -Surfac e Condition 6.2 Plane ProgresSive Waves 6.3 Finite-D epth Effects 6.4 N onlinear Effects 6.5 Mass Transport 6.6 Sup erposition of Plane Waves 6.7 Group Velocity 6.8 Wave Energy 6.9 Two-Dimens1Onal Ship Waves 6.10 1bree -DimenslOnal Ship Waves 6.11 The Method of Stationary Phas e 6.12 Energy Radiation and Wave ReSiStanc e 6.131bin-Ship Theory of Wave ReSiStanc e 220 226 229 230 232 235 237 238 240 243 247 251 252 257 260 266 270 275 278 281
  I 7    6.14 Wave Pattern AnalySiS 6.15 Body Respons e 1ll Regular Waves 6.16 Hydrostatics 6.17 Dampmg and Added Mass 6.18 Wave-Exciting Forc e and Moment 6.19 Motion of Floating Bodies 1ll Regular Waves 6.20 Oc ean Waves 6.21 Motions of Bodies 1ll Irregular Waves Problems Referenc es 7 Hydrodynamics of Slender Bodies 7.1 Slender Body 1ll an Unbounded Fluid 7.2 Longitudinal Motion 7.3 The Lateral F ore e 7.4 Ship Maneuvenng: The Hydrodynamic Forc es 7.5 Ship Maneuvenng: The Equations of Motion 7.6 Slender Bodies 1ll Waves 7.7 Strip Theory for Ship Motions 7.8 Slender Bodies 1ll Shallow Water Problems Referenc es 284 285 290 295 300 307 311 320 321 325 328 329 335 338 343 349 354 362 373 382 384  
Preface The applications of hydrodynamics to naval architecture and ocean has been related increasingly to the results of scientific research, and a new field of ocean engineering has emerged from the utilization of s ffshore resource . The n m increased in proportion to this expansion, but the publication of text- i nd' urn Is r f t i This volume has been prepared to satisfy the need for a textbook on the applications of hydrodynamics to marine problems. These pages have evolved from lecture notes prepared for a first-year graduate sub ject in the Department of Ocean Engineering at MIT, and used sub- universities. Most of the students involved have taken an introductory course in fluid mechanics, but the necessary fundamentals are presented e v e su ~ec ma er as sumed, including vector analysis and complex-variable theory. n c osen pnman y or Its prac I Im- portance, tempered by the limitations of s ace and corn lexity that can be tolerated in a textbook. Notably absent are topics from the field of computations, lifting-surface techniques including propeller theory,
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