Fundamentals of Ship Hydrodynamics - Lothar Birk - E-Book

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Beschreibung

Fundamentals of Ship Hydrodynamics: Fluid Mechanics, Ship Resistance and Propulsion

Lothar Birk, University of New Orleans, USA

 

Bridging the information gap between fluid mechanics and ship hydrodynamics

 

Fundamentals of Ship Hydrodynamics is designed as a textbook for undergraduate education in ship resistance and propulsion. The book provides connections between basic training in calculus and fluid mechanics and the application of hydrodynamics in daily ship design practice. Based on a foundation in fluid mechanics, the origin, use, and limitations of experimental and computational procedures for resistance and propulsion estimates are explained.

The book is subdivided into sixty chapters, providing background material for individual lectures.  The unabridged treatment of equations and the extensive use of figures and examples enable students to study details at their own pace.

 

Key features:

•             Covers the range from basic fluid mechanics to applied ship hydrodynamics.

•             Subdivided into 60 succinct chapters.

•             In-depth coverage of material enables self-study.

•             Around 250 figures and tables.

 

Fundamentals of Ship Hydrodynamics is essential reading for students and staff of naval architecture, ocean engineering, and applied physics. The book is also useful for practicing naval architects and engineers who wish to brush up on the basics, prepare for a licensing exam, or expand their knowledge.

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Veröffentlichungsjahr: 2019

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Table of Contents

Cover

Preface

References

Acknowledgments

About the Companion Website

1 Ship Hydrodynamics

Learning Objectives

1.1 Calm Water Hydrodynamics

1.2 Ship Hydrodynamics and Ship Design

1.3 Available Tools

Self Study Problems

2 Ship Resistance

Learning Objectives

2.1 Total Resistance

2.2 Phenomenological Subdivision

2.3 Practical Subdivision

2.4 Physical Subdivision

2.5 Major Resistance Components

References

Self Study Problems

3 Fluid and Flow Properties

Learning Objectives

3.1 A Word on Notation

3.2 Fluid Properties

3.3 Modeling and Visualizing Flow

3.4 Pressure

References

Self Study Problems

4 Fluid Mechanics and Calculus

Learning Objectives

4.1 Substantial Derivative

4.2 Nabla Operator and Its Applications

References

Self Study Problems

5 Continuity Equation

Learning Objectives

5.1 Mathematical Models of Flow

5.2 Infinitesimal Fluid Element Fixed in Space

5.3 Finite Control Volume Fixed in Space

5.4 Infinitesimal Element Moving With the Fluid

5.5 Finite Control Volume Moving With the Fluid

5.6 Summary

References

Self Study Problems

6 Navier‐Stokes Equations

Learning Objectives

6.1 Momentum

6.2 Conservation of Momentum

6.3 Stokes’ Hypothesis

6.4 Navier‐Stokes Equations for a Newtonian Fluid

References

Self Study Problems

7 Special Cases of the Navier‐Stokes Equations

Learning Objectives

7.1 Incompressible Fluid of Constant Temperature

7.2 Dimensionless Navier‐Stokes Equations

References

Self Study Problems

8 Reynolds Averaged Navier‐Stokes Equations (RANSE)

Learning Objectives

8.1 Mean and Turbulent Velocity

8.2 Time Averaged Continuity Equation

8.3 Time Averaged Navier‐Stokes Equations

8.4 Reynolds Stresses and Turbulence Modeling

References

Self Study Problems

9 Application of the Conservation Principles

Learning Objectives

9.1 Body in a Wind Tunnel

9.2 Submerged Vessel in an Unbounded Fluid

10 Boundary Layer Theory

Learning Objectives

10.1 Boundary Layer

10.2 Simplifying Assumptions

10.3 Boundary Layer Equations

References

Self Study Problems

11 Wall Shear Stress in the Boundary Layer

Learning Objectives

11.1 Control Volume Selection

11.2 Conservation of Mass in the Boundary Layer

11.3 Conservation of Momentum in the Boundary Layer

11.4 Wall Shear Stress

Self Study Problems

12 Boundary Layer of a Flat Plate

Learning Objectives

12.1 Boundary Layer Equations for a Flat Plate

12.2 Dimensionless Velocity Profiles

12.3 Boundary Layer Thickness

12.4 Wall Shear Stress

12.5 Displacement Thickness

12.6 Momentum Thickness

12.7 Friction Force and Coefficients

References

Self Study Problems

13 Frictional Resistance

Learning Objectives

13.1 Turbulent Boundary Layers

13.2 Shear Stress in Turbulent Flow

13.3 Friction Coefficients for Turbulent Flow

13.4 Model–Ship Correlation Lines

13.5 Effect of Surface Roughness

13.6 Effect of Form

13.7 Estimating Frictional Resistance

References

Self Study Problems

14 Inviscid Flow

Learning Objectives

14.1 Euler Equations for Incompressible Flow

14.2 Bernoulli Equation

14.3 Rotation, Vorticity, and Circulation

References

Self Study Problems

15 Potential Flow

Learning Objectives

15.1 Velocity Potential

15.2 Circulation and Velocity Potential

15.3 Laplace Equation

15.4 Bernoulli Equation for Potential Flow

References

Self Study Problems

16 Basic Solutions of the Laplace Equation

Learning Objectives

16.1 Uniform Parallel Flow

16.2 Sources and Sinks

16.3 Vortex

16.4 Combinations of Singularities

16.5 Singularity Distributions

References

Self Study Problems

17 Ideal Flow Around A Long Cylinder

Learning Objectives

17.1 Boundary Value Problem

17.2 Solution and Velocity Potential

17.3 Velocity and Pressure Field

17.4 D'Alembert's Paradox

17.5 Added Mass

Self Study Problems

18 Viscous Pressure Resistance

Learning Objectives

18.1 Displacement Effect of Boundary Layer

18.2 Flow Separation

References

Self Study Problems

19 Waves and Ship Wave Patterns

Learning Objectives

19.1 Wave Length, Period, and Height

19.2 Fundamental Observations

19.3 Kelvin Wave Pattern

References

Self Study Problems

20 Wave Theory

Learning Objectives

20.1 Overview

20.2 Mathematical Model for Long‐crested Waves

20.3 Linearized Boundary Value Problem

References

Self Study Problems

21 Linearization of Free Surface Boundary Conditions

Learning Objectives

21.1 Perturbation Approach

21.2 Kinematic Free Surface Condition

21.3 Dynamic Free Surface Condition

21.4 Linearized Free Surface Conditions for Waves

Self Study Problems

22 Linear Wave Theory

Learning Objectives

22.1 Solution of Linear Boundary Value Problem

22.2 Far Field Condition Revisited

22.3 Dispersion Relation

22.4 Deep Water Approximation

References

Self Study Problems

23 Wave Properties

Learning Objectives

23.1 Linear Wave Theory Results

23.2 Wave Number

23.3 Water Particle Velocity and Acceleration

23.4 Dynamic Pressure

23.5 Water Particle Motions

References

Self Study Problems

24 Wave Energy and Wave Propagation

Learning Objectives

24.1 Wave Propagation

24.2 Wave Energy

24.3 Energy Transport and Group Velocity

References

Self Study Problems

25 Ship Wave Resistance

Learning Objectives

25.1 Physics of Wave Resistance

25.2 Wave Superposition

25.3 Michell's Integral

25.4 Panel Methods

References

Self Study Problems

26 Ship Model Testing

Learning Objectives

26.1 Testing Facilities

26.2 Ship and Propeller Models

26.3 Model Basins

References

Self Study Problems

27 Dimensional Analysis

Learning Objectives

27.1 Purpose of Dimensional Analysis

27.2 Buckingham

‐Theorem

27.3 Dimensional Analysis of Ship Resistance

References

Self Study Problems

28 Laws of Similitude

Learning Objectives

28.1 Similarities

28.2 Partial Dynamic Similarity

References

Self Study Problems

29 Resistance Test

Learning Objectives

29.1 Test Procedure

29.2 Reduction of Resistance Test Data

29.3 Form Factor

29.4 Wave Resistance Coefficient

29.5 Skin Friction Correction Force

References

Self Study Problems

30 Full Scale Resistance Prediction

Learning Objectives

30.1 Model Test Results

30.2 Corrections and Additional Resistance Components

30.3 Total Resistance and Effective Power

30.4 Example Resistance Prediction

References

Self Study Problems

31 Resistance Estimates – Guldhammer and Harvald's Method

Learning Objectives

31.1 Historical Development

31.2 Guldhammer and Harvald's Method

31.3 Extended Resistance Estimate Example

References

Self Study Problems

32 Introduction to Ship Propulsion

Learning Objectives

32.1 Propulsion Task

32.2 Propulsion Systems

32.3 Efficiencies in Ship Propulsion

References

Self Study Problems

33 Momentum Theory of the Propeller

Learning Objectives

33.1 Thrust, Axial Momentum, and Mass Flow

33.2 Ideal Efficiency and Thrust Loading Coefficient

References

Self Study Problems

34 Hull–Propeller Interaction

Learning Objectives

34.1 Wake Fraction

34.2 Thrust Deduction Fraction

34.3 Relative Rotative Efficiency

References

Self Study Problems

35 Propeller Geometry

Learning Objectives

35.1 Propeller Parts

35.2 Principal Propeller Characteristics

35.3 Other Geometric Propeller Characteristics

References

Self Study Problems

36 Lifting Foils

Learning Objectives

36.1 Foil Geometry and Flow Patterns

36.2 Lift and Drag

36.3 Thin Foil Theory

References

Self Study Problems

37 Thin Foil Theory – Displacement Flow

Learning Objectives

37.1 Boundary Value Problem

37.2 Pressure Distribution

37.3 Elliptical Thickness Distribution

References

Self Study Problems

38 Thin Foil Theory – Lifting Flow

Learning Objectives

38.1 Lifting Foil Problem

38.2 Glauert's Classical Solution

References

Self Study Problems

39 Thin Foil Theory – Lifting Flow Properties

Learning Objectives

39.1 Lift Force and Lift Coefficient

39.2 Moment and Center of Effort

39.3 Ideal Angle of Attack

39.4 Parabolic Mean Line

References

Self Study Problems

40 Lifting Wings

Learning Objectives

40.1 Effects of Limited Wingspan

40.2 Free and Bound Vorticity

40.3 Biot–Savart Law

40.4 Lifting Line Theory

References

Self Study Problems

41 Open Water Test

Learning Objectives

41.1 Test Conditions

41.2 Propeller Models

41.3 Test Procedure

41.4 Data Reduction

References

Self Study Problems

42 Full Scale Propeller Performance

Learning Objectives

42.1 Comparison of Model and Full Scale Propeller Forces

42.2 ITTC Full Scale Correction Procedure

References

Self Study Problems

43 Propulsion Test

Learning Objectives

43.1 Testing Procedure

43.2 Data Reduction

43.3 Hull–Propeller Interaction Parameters

43.4 Load Variation Test

References

Self Study Problems

44 ITTC 1978 Performance Prediction Method

Learning Objectives

44.1 Summary of Model Tests

44.2 Full Scale Power Prediction

44.3 Summary

44.4 Solving the Intersection Problem

44.5 Example

References

Self Study Problems

45 Cavitation

Learning Objectives

45.1 Cavitation Phenomenon

45.2 Cavitation Inception

45.3 Locations and Types of Cavitation

45.4 Detrimental Effects of Cavitation

References

Self Study Problems

46 Cavitation Prevention

Learning Objectives

46.1 Design Measures

46.2 Keller's Formula

46.3 Burrill's Cavitation Chart

46.4 Other Design Measures

References

Self Study Problems

47 Propeller Series Data

Learning Objectives

47.1 Wageningen B‐Series

47.2 Wageningen B‐Series Polynomials

47.3 Other Propeller Series

References

Self Study Problems

48 Propeller Design Process

Learning Objectives

48.1 Design Tasks and Input Preparation

48.2 Optimum Diameter Selection

48.3 Optimum Rate of Revolution Selection

48.4 Design Charts

48.5 Computational Tools

References

Self Study Problems

49 Hull–Propeller Matching Examples

Learning Objectives

49.1 Optimum Rate of Revolution Problem

49.2 Optimum Diameter Problem

References

50 Holtrop and Mennen's Method

Learning Objectives

50.1 Overview of the Method

50.2 Procedure

50.3 Example

References

Self Study Problems

51 Hollenbach's Method

Learning Objectives

51.1 Overview of the method

51.2 Resistance Estimate

51.3 Hull–Propeller Interaction Parameters

51.4 Resistance and Propulsion Estimate Example

Self Study Problems

References

Index

End User License Agreement

List of Tables

Chapter 3

Table 3.1 Fresh water properties

Chapter 26

Table 26.1 A selection of model basins around the world, sorted alphabetically a...

Chapter 30

Table 30.1 Particulars of full scale vessel and model used in the prediction exa...

Table 30.2 Testing and full scale environments for resistance prediction

Table 30.3 Measured total resistance and sinkage of model; blockage correction (...

Table 30.4 Resistance coefficients for the model

Table 30.5 Predicted resistance coefficients for the full scale vessel

Table 30.6 Full scale resistance

and effective power

Chapter 31

Table 31.1 Range of parameters suitable for Guldhammer and Harvald's method

Table 31.2 Required and optional input parameters for Guldhammer and Harvald's m...

Table 31.3 Bulbous bow corrections to the standard residuary resistance coeffici...

Table 31.4 Air resistance coefficients for different types of vessels (Kristense...

Table 31.5 Principal dimensions for resistance estimate example

Table 31.6 Selected ship speeds and resulting Froude and Reynolds number

Table 31.7 Residuary resistance value computation for the standard hull form

Table 31.8 Computation of the

‐correction for the residuary resistance coefficie...

Table 31.9 Comparison of old and updated bulbous bow correction to the residuary...

Table 31.10 Estimate of residual resistance coefficient

Table 31.11 Frictional resistance estimate

Table 31.12 Resistance coefficients computed with Guldhammer and Harvald's metho...

Table 31.13 Total resistance and effective power computed with Guldhammer and Ha...

Chapter 36

Table 36.1 The three subtasks of thin foil theory

Chapter 42

Table 42.1 Example results of an open water test conducted in a towing tank

Table 42.2 Open water characteristics of model propeller (see Table 42.1)

Table 42.3 Intermediate results for scaling open water characteristics of model ...

Table 42.4 Predicted open water characteristics of full scale propeller (see Tab...

Chapter 44

Table 44.1 Propeller open water characteristics as a set of discrete data points

Table 44.2 Example input data for the calculation of the self propulsion point f...

Table 44.3 Data for required thrust parabola at

m/s and

and propeller open wa...

Chapter 46

Table 46.1 Regression equations for the limiting lines in the Burrill chart (Fig...

Chapter 47

Table 47.1 Basic characteristics of the propellers in the Wageningen B‐Series. F...

Table 47.2 Factors and exponents for thrust coefficient polynomials of Wageninge...

Table 47.3 Factors and exponents for torque coefficient polynomials of Wageninge...

Table 47.4 Coefficients for the estimate of maximum thickness and chord length o...

Table 47.5 Factors and exponents for Reynolds number effects on thrust coefficie...

Chapter 48

Table 48.1 The four basic propeller design tasks

Table 48.2 Input data to illustrate task 1: optimum propeller diameter selection...

Table 48.3 Results for the propeller selection task 1 example

Table 48.4 Results for the propeller selection task 2 example

Chapter 49

Table 49.1 Optimum rate of revolution problem – example input data for a contain...

Table 49.2 Optimum diameter problem – example input data for a bulk carrier

Table 49.3 Resistance estimate for bulk carrier from Table 49.2

Chapter 50

Table 50.1 Required and optional input parameters for Holtrop and Mennen's metho...

Table 50.2 Approximate values for appendage form factors

according to Holtrop (...

Table 50.3 Coefficients for the wave resistance computation in Equation (50.20) ...

Table 50.4 Additional coefficients for the wave resistance computation in Equati...

Table 50.5 Coefficients for the full scale wake fraction of single screw vessels...

Table 50.6 Propeller data for powering estimate; see also Table 31.5

Table 50.7 Holtrop and Mennen resistance and powering estimate example; speed in...

Table 50.8 Holtrop and Mennen resistance and powering estimate example; speed de...

Table 50.9 Holtrop and Mennen resistance and powering estimate example; resistan...

Table 50.10 Holtrop and Mennen resistance and powering estimate example; wake fr...

Table 50.11 Holtrop and Mennen resistance and powering estimate example; efficie...

Chapter 51

Table 51.1 Recommended limits for principal dimensions and form parameters of si...

Table 51.2 Required and optional input parameters for Hollenbach's method

Table 51.4 Coefficients for computation of the standard residuary resistance coe...

Table 51.5 Coefficients for correction factors of the standard residuary resista...

Table 51.6 Factors for lower and upper limit formulas of the range of Froude num...

Table 51.7 Suggested values for the relative rotative efficiency

, if the propul...

Table 51.8 Suggested values for the thrust deduction fraction

(Hollenbach, 1999...

Table 51.9 Suggested values for constant

for the hull efficiency of twin screw ...

Table 51.10 Residuary resistance coefficients for minimum and mean resistance ca...

Table 51.11 Resistance coefficients for example vessel by Hollenbach's method

Table 51.12 Comparison of total calm water resistance estimates

Table 51.13 Prediction of model and full scale wake fraction

Table 51.14 Self propulsion point based on mean resistance curve

Table 51.15 Prediction of rate of revolution and delivered power for trial condi...

Table 51.16 Predicted efficiencies based on mean resistance curve

Table 51.17 Comparison of predicted rate of revolution and delivered power

List of Illustrations

Chapter 1

Figure 1.1 Ship sailing in its natural habitat

Figure 1.2 Self‐propelled ship sailing in calm water with constant speed

Figure 1.3 Towed bare hull (no propeller or appendages) moving in calm water

Figure 1.4 Comparison of inflow conditions for a propeller operating in behind ...

Chapter 2

Figure 2.1 Comparison between Froude's and ITTC's current method of derivation ...

Figure 2.2 Viscosity of the fluid has significant effect on the flow within the...

Figure 2.3 Results of a paint flow test. (a) Entrance (b) Midbody (c)Run

Figure 2.4 Resistance coefficients and resistance for a container ship as funct...

Figure 2.5 Comparison of absolute and relative size of resistance components fo...

Chapter 3

Figure 3.1 Fresh and seawater properties as a function of temperature

Figure 3.2 The pressure force

acting on a small surface element

Figure 3.3 Forces on a small cube in hydrostatic equilibrum

Figure 3.4 Hydrostatic pressure in a water column

Figure 3.5 Pressure distribution around a ship

Chapter 4

Figure 4.1 Following a fluid particle and the flow properties it encounters alo...

Figure 4.2 A moving, finite control volume

which changes over time

Figure 4.3 The distance

traveled by a surface element in normal direction

Chapter 5

Figure 5.1 Four types of mathematical models for fluid flows and the resulting ...

Figure 5.2 Mass flux through the surface of a fluid element

Figure 5.3 Flux through the surface

of a finite volume

fixed in space

Figure 5.4 Flow through a contraction nozzle

Chapter 6

Figure 6.1 Momentum flux in

‐direction through the surface of an infinitesimal...

Figure 6.2

‐components of surface and body forces acting on the fixed, infinite...

Figure 6.3 Forces comprising the Navier‐Stokes equations for an isotropic Newto...

Chapter 8

Figure 8.1 Mean and actual velocities in steady and unsteady turbulent flow

Figure 8.2 Velocity and turbulence distribution across an air duct

Chapter 9

Figure 9.1 Body of revolution in a wind tunnel (simplified)

Figure 9.2 Ellipsoid moving in an unbounded fluid

Chapter 10

Figure 10.1 Basic properties of the velocity distribution in the boundary layer

Figure 10.2 Transition from laminar to turbulent flow of the air rising from a ...

Figure 10.3 Flow characteristics of laminar and turbulent boundary layers

Figure 10.4 Development of the boundary layer along a flat surface. Note that t...

Figure 10.5 Development of velocity profile in the boundary layer along a curve...

Chapter 11

Figure 11.1 Cross section through a finite, fixed control volume

in the bound...

Figure 11.2 Surface forces acting on the control volume (a) Mean shear stress a...

Figure 11.3 Definition of displacement thickness

and displacement effect on e...

Chapter 12

Figure 12.1 Laminar boundary layer along a flat plate

Figure 12.2 Boundary layer shear stress for laminar flow over a flat plate as d...

Figure 12.3 Boundary layer thickness

, displacement thickness

, and momentum ...

Chapter 13

Figure 13.1 Features of a turbulent boundary layer over a flat plate (zero pres...

Figure 13.2 A typical turbulent boundary layer velocity profile depicted in out...

Figure 13.3 Comparing the modified log–wake law with experimental data from Öst...

Figure 13.4 Flat plate friction coefficients for smooth surfaces

Figure 13.5 Types of technical surface roughness and their effect on friction

Figure 13.6 Definition of equivalent sand roughness

Figure 13.7 Flat plate friction coefficient for turbulent flow and its dependen...

Chapter 14

Figure 14.1 A fluid element

moves from point

to point

along a streamline

Figure 14.2 Determining the flow speed by measuring pressure difference in a co...

Figure 14.3 Translation and linear deformation of a fluid element

Figure 14.4 Rotation and angular deformation of a fluid element

Figure 14.5 Definition of circulation

Figure 14.6 Symmetric foil with lifting flow

and nonlifting flow

Chapter 15

Figure 15.1 The work spent on moving an object from point

to point

Figure 15.2 Definition of simply and multiply connected regions

Figure 15.3 Examples of basic potential flows

Figure 15.4 Flow field around a symmetric foil at angle of attack

Chapter 16

Figure 16.1 Planar uniform flow at angle

Figure 16.2 Streamlines (

) and isolines of velocity potential for a planar sou...

Figure 16.3 Streamlines (

) and equipotential lines for a planar source/sink fl...

Figure 16.4 Streamlines (

) and equipotential lines for a planar vortex flow; t...

Figure 16.5 Superposition of parallel flow and a source/sink pair

Figure 16.6 Flow field for a Rankine oval, a superposition of parallel flow, so...

Figure 16.7 Velocity and pressure distribution along the dividing streamline (R...

Figure 16.8 Creation of a dipole (doublet) by superposition of source and sink

Figure 16.9 Streamlines (

) and isolines of velocity potential for planar dipol...

Chapter 17

Figure 17.1 An infinitely long cylinder moving with speed

in positive

‐direc...

Figure 17.2 An infinitely long cylinder at rest in parallel flow

Figure 17.3 Streamlines and velocity field for a cylinder in parallel flow

Figure 17.4 Contours of constant pressure coefficient

for a cylinder in paral...

Figure 17.5 Pressure coefficient

distribution on the cylinder surface

for a ...

Chapter 18

Figure 18.1 The displacement effect of a boundary layer changes the effective h...

Figure 18.2 The effect of viscous flow on the pressure distribution

Figure 18.3 Velocity profiles within the boundary layer near a separation point

Figure 18.4 Comparison of pressure and forces acting on a cylinder in inviscid ...

Figure 18.5 Comparison of turbulent and laminar boundary layer flow around a cy...

Chapter 19

Figure 19.1 Definition of wave length

and wave height

; the vertical scale i...

Figure 19.2 Surface elevation of a harmonic, long‐crested wave

Figure 19.3 Recording of surface elevation of a harmonic, long‐crested wave at ...

Figure 19.4 Spatial extension of surface elevation of a linear, harmonic, long‐...

Figure 19.5 A snapshot of the wave elevation in a wave group

Figure 19.6 Kelvin wave pattern in deep water

Figure 19.7 Change of Kelvin wave pattern with increasing velocity on deep wate...

Figure 19.8 Kelvin wave pattern like cloud formation in the slipstream of Amste...

Figure 19.9 Wave pattern of a ship at

Chapter 20

Figure 20.1 Definition of coordinate system and domain boundaries for wave theo...

Figure 20.2 Simplified two‐dimensional fluid domain for long‐crested waves

Figure 20.3 The mathematical free surface model is valid for nonbreaking waves ...

Chapter 22

Figure 22.1 Simplified two‐dimensional fluid domain for long‐crested regular wa...

Figure 22.2 The hyperbolic sine and cosine functions

Figure 22.3 Wave phase velocity as function of wave number and water depth base...

Figure 22.4 The positive arm of the hyperbolic tangent function

Chapter 23

Figure 23.1 Graphical verification of a solution of the nonlinear dispersion re...

Figure 23.2 Distribution of wave properties over 1.5 wavelength at the calm wat...

Figure 23.3 Snapshot

of the velocity field for a wave in restricted water dep...

Figure 23.4 Amplitude of dynamic pressure over depth

Figure 23.5 Photo of water particle trajectories. Photo courtesy of Dr. Walter ...

Figure 23.6 Water particle trajectories over one wave period

for deep water (...

Chapter 24

Figure 24.1 Propagation of wave profile and the movement of a water particle ov...

Figure 24.2 Wave length

as a function of water depth

for constant wave peri...

Figure 24.3 Effect of gradually decreasing water depth

on wave propagation an...

Figure 24.4 Kinetic energy

in the control volume

spanning one wave length

Figure 24.5 Change in potential energy

when a fluid element is lifted above t...

Figure 24.6 Wave energy density distribution of a regular wave over one wave cy...

Figure 24.7 Schematic propagation of wave energy for a deep water wave based on...

Figure 24.8 Wave elevation profiles after a few selected cycles of wave making ...

Figure 24.9 Distribution of energy density after a few selected cycles of wave ...

Figure 24.10 Propagation of a group of regular waves over 20 wave periods

Chapter 25

Figure 25.1 Wigley hull at Froude number

showing the connection between fluid...

Figure 25.2 Pronounced humps and hollows in a wave resistance curve. Data from ...

Figure 25.3 Wave resistance coefficient of a single submerged sphere; see Equat...

Figure 25.4 Wave pattern and wave profile created by a single submerged sphere ...

Figure 25.5 Wave pattern and wave profile created by a single submerged sphere ...

Figure 25.6 Combined wave pattern and profile of two submerged spheres. Froude ...

Figure 25.7 Comparison of wave profiles created by submerged spheres at positio...

Figure 25.8 Wave pattern and wave profile of two submerged spheres. Froude numb...

Figure 25.9 Comparison of wave profiles created by submerged spheres at positio...

Figure 25.10 Comparison of wave patterns and wave profiles created by two subme...

Figure 25.11 Wave resistance coefficient for a system of two submerged spheres;...

Figure 25.12 Wave resistance coefficient for a Wigley hull with length–beam rat...

Figure 25.13 Discretization of vessel bow into small panels for wave resistance...

Chapter 26

Figure 26.1 Towing tank of the Hamburg Ship Model Basin, Photo courtesy of Hamb...

Figure 26.2 Towing tank at the School of Naval Architecture and Marine Engineer...

Figure 26.3 Schematic view of a towing tank

Figure 26.4 Definition of rail sagitta

Figure 26.5 Schematic of a cavitation tunnel without free surface

Figure 26.6 A model is prepared for cutting on the five axis mill. Photo courte...

Figure 26.7 The beginnings of a five bladed propeller model. Photo courtesy of ...

Chapter 28

Figure 28.1 Simplified flow pattern at a propeller blade section. Kinematic sim...

Chapter 29

Figure 29.1 Ship model set up for resistance test

Figure 29.2 Measured and derived data in the resistance test

Figure 29.3 Tank cross section area

and blockage factor

Figure 29.4 Measurements and length definitions for the computation of sinkage ...

Figure 29.5 Method of Prohaska to determine the form factor

Chapter 30

Figure 30.1 Finding the form factor with Prohaska's method; only data points wi...

Figure 30.2 Measured mean sinkage and running trim angle of model

Figure 30.3 Measured total resistance of model as function of model speed

Figure 30.4 Resistance coefficients of model

Figure 30.5 Resistance coefficients of full scale ship

Figure 30.6 Full scale total resistance prediction (calm water)

Figure 30.7 Full scale effective power

Chapter 31

Figure 31.1 Definition of the midship section and the computational length

fo...

Figure 31.2 Guidance for the optimum location of

as a function of Froude numb...

Figure 31.3 Resistance coefficients for the Guldhammer and Harvald method examp...

Figure 31.4 Total resistance and effective power for the Guldhammer and Harvald...

Figure 31.5 Charts for standard residuary resistance coefficients

after Guldh...

Figure 31.6 Charts for standard residuary resistance coefficients

after Guldh...

Chapter 32

Figure 32.1 Forces acting on ship without and with propulsion system (a) Ship m...

Figure 32.2 A five‐bladed fixed pitch propeller with a Schneekluth nozzle to im...

Figure 32.3 Schematic of a water jet

Figure 32.4 The propulsion system with transmission powers and efficiencies

Chapter 33

Figure 33.1 Fixed control volume around an idealized propeller (actuator disk)

Figure 33.2 Velocity and pressure distribution according to momentum theory

Figure 33.3 Ideal efficiency (jet efficiency) of propulsor momentum theory as a...

Chapter 34

Figure 34.1 Example of a nominal wake field of a single propeller ship with mod...

Figure 34.2 Example of a nominal wake field of a single propeller ship with hig...

Figure 34.3 Major contributions to the nominal wake fraction (a) Origin of pote...

Figure 34.4 Frictional wake for twin screw vessels

Figure 34.5 Effect of propeller on pressure and velocity distribution at the st...

Chapter 35

Figure 35.1 Parts of a propeller. Shown is a right‐handed, fixed pitch propelle...

Figure 35.2 Definition of propeller diameter

, blade radius

, hub radius

, a...

Figure 35.3 Hydrofoil section within a propeller blade

Figure 35.4 Pitch angle variation for a propeller with constant pitch

Figure 35.5 Helical paths for propeller with constant pitch

Figure 35.6 Relationship between pitch

and pitch angle

Figure 35.7 Helical paths for propeller with variable pitch

Figure 35.8 Basic geometric properties of a lifting hydrofoil

Figure 35.9 The expanded blade for a Wageningen B‐Series propeller with four bl...

Figure 35.10 Definition of the expanded area

of a propeller blade

Figure 35.11 Two examples of expanded area ratios.

on the left and

on the r...

Figure 35.12 Side elevation of a propeller blade and definition of propeller ra...

Figure 35.13 Definition of propeller skew‐back and skew angle

Figure 35.14 Cupping of a propeller blade

Chapter 36

Figure 36.1 Definition of foil geometry

Figure 36.2 Flow pattern and pressure distribution for a 2D foil section at ang...

Figure 36.3 Foil in stalled flow condition

Figure 36.4 Complete vortex system of the foil section

Figure 36.5 Forces acting on the foil section at angle of attack

Figure 36.6 Typical lift–drag curves for a thin, cambered foil

Figure 36.7 Setup of boundary value problem for a thin foil operating at angle ...

Figure 36.8 Definition of normal vectors for upper and lower foil surface

Chapter 37

Figure 37.1 The boundary value problem of a symmetric thin foil with finite thi...

Figure 37.2 The inverse tangent function

Figure 37.3 The source strength distribution

as a function of the slope

of ...

Figure 37.4 Comparison of thin foil theory and conformal mapping (exact) pressu...

Figure 37.5 Comparison of thin foil theory and conformal mapping (exact) pressu...

Chapter 38

Figure 38.1 Boundary value problem for an infinitely thin cambered plate at ang...

Figure 38.2 The first four elements of Glauert's trigonometric series for the v...

Chapter 39

Figure 39.1 The effect of leading edge suction for a thin plate at angle of att...

Figure 39.2 Section lift coefficient

of thin, symmetric foil sections and a t...

Figure 39.3 Definition of the moment

created by the pressure force acting on ...

Figure 39.4 Pressure distribution for a flat plate at 2 degrees angle of attack

Figure 39.5 A prescribed pressure distribution resulting in the NACA

mean lin...

Chapter 40

Figure 40.1 Pressure distribution on a wing of finite span

Figure 40.2 Simplest model of the vortex system of a wing

Figure 40.3 Cross section through the velocity field of the wing tip vortices r...

Figure 40.4 A model of a wing with varying bound circulation

and the resultin...

Figure 40.5 Actual shape and roll up of trailing vortex sheet

Figure 40.6 Velocity vectors on upper and lower wing surfaces

Figure 40.7 Velocity vectors on upper and lower wing surface and mean velocity

Figure 40.8 Vorticity vector

and the resulting difference velocity

Figure 40.9 Bound vorticity

and its effect

Figure 40.10 Free vorticity

and its effect

Figure 40.11 Establishing a connection between bound and free vorticity by inte...

Figure 40.12 The velocity induced by an element of a vortex filament

Figure 40.13 The velocity induced by a straight vortex filament

Figure 40.14 The effect of downwash on the angle of attack

Figure 40.15 Induced drag caused by the downwash

Chapter 41

Figure 41.1 Simplified velocities triangle for an unrolled propeller blade sect...

Figure 41.2 Open water test of model propeller with propeller boat in towing ta...

Figure 41.3 Open water test of model propeller in a circulating water tunnel / ...

Figure 41.4 Typical propeller open water diagram

Chapter 42

Figure 42.1 Fluid forces acting on a propeller blade section at model scale

Figure 42.2 Comparison of model scale and full scale forces acting on a propell...

Figure 42.3 Comparison of measured open water characteristics and predicted ful...

Chapter 43

Figure 43.1 Setup of model for propulsion test with single skin friction correc...

Figure 43.2 The relative difference of resistance for model and full scale vess...

Figure 43.3 Self propulsion point of model propeller under the assumption of th...

Figure 43.4 Self propulsion point of model propeller under the assumption of to...

Figure 43.5 Setup of model for propulsion test with load variation (British met...

Figure 43.6 Typical results of a load variation test (British method)

Chapter 44

Figure 44.1 Matching propeller thrust

with the thrust requirement of the ship...

Figure 44.2 Setup for solving the intersection problem with discrete open water...

Chapter 45

Figure 45.1 Simplified phase diagram of fresh water

Figure 45.2 Flow around a cavitating foil section and the associated pressure d...

Figure 45.3 Locations and common types of cavitation

Figure 45.4 Open water test of five‐bladed model propeller in a cavitation tunn...

Figure 45.5 Open water test of five‐bladed model propeller in a cavitation tunn...

Figure 45.6 Loss of thrust and efficiency due to cavitation

Figure 45.7 Life of cavitation bubble

Chapter 46

Figure 46.1 Limits for the propeller loading coefficient as a function of cavit...

Figure 46.2 Usage of the Burrill chart

Chapter 47

Figure 47.1 Open water chart for a Wageningen B‐Series propeller with

and

d...

Chapter 48

Figure 48.1 Design task 1 – Input: open water diagram for Wageningen B‐series p...

Figure 48.2 Design task 1 – Step 2: locate self propulsion points

at which th...

Figure 48.3 Design task 1 – Step 3: find open water efficiencies

for self pro...

Figure 48.4 Design task 1 – Step 4: draw auxiliary curve through open water eff...

Figure 48.5 Design task 1 – Result: optimum propeller is defined by maximum of ...

Figure 48.6 Design task 2 – Result: optimum propeller is defined by maximum of ...

Figure 48.7 Design task 3 – Result: optimum propeller is defined by maximum of ...

Figure 48.8 Design task 4 – Result: optimum propeller is defined by maximum of ...

Figure 48.9 Simplified task 1 propeller design

‐chart for Wageningen B‐Series ...

Figure 48.10 Optimum diameter chart for design task 1

Chapter 49

Figure 49.1 Propeller design

‐chart for Wageningen B‐series propeller B5‐60. C...

Figure 49.2 Propeller design

‐chart for Wageningen B‐series propeller B5‐75. C...

Figure 49.3 Auxiliary plot to determine the expanded area ratio of the final op...

Figure 49.4 Auxiliary plots to determine final optimum propeller characteristic...

Figure 49.5 Propeller design

‐chart for Wageningen B‐series propeller B4‐55. C...

Figure 49.6 Propeller design

‐chart for Wageningen B‐series propeller B4‐40. C...

Figure 49.7 Auxiliary plot to determine the expanded blade area ratio of the fi...

Figure 49.8 Auxiliary plots to determine final optimum propeller characteristic...

Figure 49.9 Auxiliary plot to determine the attainable ship speed

Chapter 51

Figure 51.1 Comparison of total resistance estimates for the methods by Hollenb...

Figure 51.2 Comparison of predicted rate of revolution and delivered power for ...

Guide

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Fundamentals of Ship Hydrodynamics

Fluid Mechanics, Ship Resistance and Propulsion

Lothar Birk

School of Naval Architecture and Marine EngineeringThe University of New OrleansNew Orleans, LAUnited States

Copyright

This edition first published

2019 ©2019 John Wiley & Sons Ltd

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Lothar Birk to be identified as the author of this work has been asserted in accordance with law.

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Library of Congress Cataloging‐in‐Publication Data

Names: Birk, Lothar, 1963‐ author.

Title: Fundamentals of ship hydrodynamics: fluid mechanics, ship resistance and propulsion / Lothar Birk, University of New Orleans.

Description: Hoboken, NJ: John Wiley & Sons, Ltd, [2019] — Includes bibliographical references and index.

Identifiers: LCCN 2018060347— ISBN 9781118855485 (hardcover) — ISBN 9781118855515 (epub)

Subjects: LCSH: Ships–Hydrodynamics.

Classification: LCC VM156.B5335 2019 — DDC 623.8/12–dc23

LC record available at https://lccn.loc.gov/2018060347

Cover Design: Wiley

Cover Image: © zennie / Getty Images

Dedication

To My Family

They make everything worthwhile!

List of Figures

Figure 1.1 Ship sailing in its natural habitat

Figure 1.2 Self‐propelled ship sailing in calm water with constant speed

Figure 1.3 Towed bare hull (no propeller or appendages) moving in calm water

Figure 1.4 Comparison of inflow conditions for a propeller operating in behind ...

Figure 2.1 Comparison between Froude's and ITTC's current method of derivation ...

Figure 2.2 Viscosity of the fluid has significant effect on the flow within the...

Figure 2.3 Results of a paint flow test. (a) Entrance (b) Midbody (c)Run

Figure 2.4 Resistance coefficients and resistance for a container ship as funct...

Figure 2.5 Comparison of absolute and relative size of resistance components fo...

Figure 3.1 Fresh and seawater properties as a function of temperature

Figure 3.2 The pressure force

acting on a small surface element

Figure 3.3 Forces on a small cube in hydrostatic equilibrum

Figure 3.4 Hydrostatic pressure in a water column

Figure 3.5 Pressure distribution around a ship

Figure 4.1 Following a fluid particle and the flow properties it encounters alo...

Figure 4.2 A moving, finite control volume

which changes over time

Figure 4.3 The distance

traveled by a surface element in normal direction

Figure 5.1 Four types of mathematical models for fluid flows and the resulting ...

Figure 5.2 Mass flux through the surface of a fluid element

Figure 5.3 Flux through the surface

of a finite volume

fixed in space

Figure 5.4 Flow through a contraction nozzle

Figure 6.1 Momentum flux in

‐direction through the surface of an infinitesimal...

Figure 6.2

‐components of surface and body forces acting on the fixed, infinite...

Figure 6.3 Forces comprising the Navier‐Stokes equations for an isotropic Newto...

Figure 8.1 Mean and actual velocities in steady and unsteady turbulent flow

Figure 8.2 Velocity and turbulence distribution across an air duct

Figure 9.1 Body of revolution in a wind tunnel (simplified)

Figure 9.2 Ellipsoid moving in an unbounded fluid

Figure 10.1 Basic properties of the velocity distribution in the boundary layer

Figure 10.2 Transition from laminar to turbulent flow of the air rising from a ...

Figure 10.3 Flow characteristics of laminar and turbulent boundary layers

Figure 10.4 Development of the boundary layer along a flat surface. Note that t...

Figure 10.5 Development of velocity profile in the boundary layer along a curve...

Figure 11.1 Cross section through a finite, fixed control volume

in the bound...

Figure 11.2 Surface forces acting on the control volume (a) Mean shear stress a...

Figure 11.3 Definition of displacement thickness

and displacement effect on e...

Figure 12.1 Laminar boundary layer along a flat plate

Figure 12.2 Boundary layer shear stress for laminar flow over a flat plate as d...

Figure 12.3 Boundary layer thickness

, displacement thickness

, and momentum ...

Figure 13.1 Features of a turbulent boundary layer over a flat plate (zero pres...

Figure 13.2 A typical turbulent boundary layer velocity profile depicted in out...

Figure 13.3 Comparing the modified log–wake law with experimental data from Öst...

Figure 13.4 Flat plate friction coefficients for smooth surfaces

Figure 13.5 Types of technical surface roughness and their effect on friction

Figure 13.6 Definition of equivalent sand roughness

Figure 13.7 Flat plate friction coefficient for turbulent flow and its dependen...

Figure 14.1 A fluid element

moves from point

to point

along a streamline

Figure 14.2 Determining the flow speed by measuring pressure difference in a co...

Figure 14.3 Translation and linear deformation of a fluid element

Figure 14.4 Rotation and angular deformation of a fluid element

Figure 14.5 Definition of circulation

Figure 14.6 Symmetric foil with lifting flow

and nonlifting flow

Figure 15.1 The work spent on moving an object from point

to point

Figure 15.2 Definition of simply and multiply connected regions

Figure 15.3 Examples of basic potential flows

Figure 15.4 Flow field around a symmetric foil at angle of attack

Figure 16.1 Planar uniform flow at angle

Figure 16.2 Streamlines (

) and isolines of velocity potential for a planar sou...

Figure 16.3 Streamlines (

) and equipotential lines for a planar source/sink fl...

Figure 16.4 Streamlines (

) and equipotential lines for a planar vortex flow; t...

Figure 16.5 Superposition of parallel flow and a source/sink pair

Figure 16.6 Flow field for a Rankine oval, a superposition of parallel flow, so...

Figure 16.7 Velocity and pressure distribution along the dividing streamline (R...

Figure 16.8 Creation of a dipole (doublet) by superposition of source and sink

Figure 16.9 Streamlines (

) and isolines of velocity potential for planar dipol...

Figure 17.1 An infinitely long cylinder moving with speed

in positive

‐direc...

Figure 17.2 An infinitely long cylinder at rest in parallel flow

Figure 17.3 Streamlines and velocity field for a cylinder in parallel flow

Figure 17.4 Contours of constant pressure coefficient

for a cylinder in paral...

Figure 17.5 Pressure coefficient

distribution on the cylinder surface

for a ...

Figure 18.1 The displacement effect of a boundary layer changes the effective h...

Figure 18.2 The effect of viscous flow on the pressure distribution

Figure 18.3 Velocity profiles within the boundary layer near a separation point

Figure 18.4 Comparison of pressure and forces acting on a cylinder in inviscid ...

Figure 18.5 Comparison of turbulent and laminar boundary layer flow around a cy...

Figure 19.1 Definition of wave length

and wave height

; the vertical scale i...

Figure 19.2 Surface elevation of a harmonic, long‐crested wave

Figure 19.3 Recording of surface elevation of a harmonic, long‐crested wave at ...

Figure 19.4 Spatial extension of surface elevation of a linear, harmonic, long‐...

Figure 19.5 A snapshot of the wave elevation in a wave group

Figure 19.6 Kelvin wave pattern in deep water

Figure 19.7 Change of Kelvin wave pattern with increasing velocity on deep wate...

Figure 19.8 Kelvin wave pattern like cloud formation in the slipstream of Amste...

Figure 19.9 Wave pattern of a ship at

Figure 20.1 Definition of coordinate system and domain boundaries for wave theo...

Figure 20.2 Simplified two‐dimensional fluid domain for long‐crested waves

Figure 20.3 The mathematical free surface model is valid for nonbreaking waves ...

Figure 22.1 Simplified two‐dimensional fluid domain for long‐crested regular wa...

Figure 22.2 The hyperbolic sine and cosine functions

Figure 22.3 Wave phase velocity as function of wave number and water depth base...

Figure 22.4 The positive arm of the hyperbolic tangent function

Figure 23.1 Graphical verification of a solution of the nonlinear dispersion re...

Figure 23.2 Distribution of wave properties over 1.5 wavelength at the calm wat...

Figure 23.3 Snapshot

of the velocity field for a wave in restricted water dep...

Figure 23.4 Amplitude of dynamic pressure over depth

Figure 23.5 Photo of water particle trajectories. Photo courtesy of Dr. Walter ...

Figure 23.6 Water particle trajectories over one wave period

for deep water (...

Figure 24.1 Propagation of wave profile and the movement of a water particle ov...

Figure 24.2 Wave length

as a function of water depth

for constant wave peri...

Figure 24.3 Effect of gradually decreasing water depth

on wave propagation an...

Figure 24.4 Kinetic energy

in the control volume

spanning one wave length

Figure 24.5 Change in potential energy

when a fluid element is lifted above t...

Figure 24.6 Wave energy density distribution of a regular wave over one wave cy...

Figure 24.7 Schematic propagation of wave energy for a deep water wave based on...

Figure 24.8 Wave elevation profiles after a few selected cycles of wave making ...

Figure 24.9 Distribution of energy density after a few selected cycles of wave ...

Figure 24.10 Propagation of a group of regular waves over 20 wave periods

Figure 25.1 Wigley hull at Froude number

showing the connection between fluid...

Figure 25.2 Pronounced humps and hollows in a wave resistance curve. Data from ...

Figure 25.3 Wave resistance coefficient of a single submerged sphere; see Equat...

Figure 25.4 Wave pattern and wave profile created by a single submerged sphere ...

Figure 25.5 Wave pattern and wave profile created by a single submerged sphere ...

Figure 25.6 Combined wave pattern and profile of two submerged spheres. Froude ...

Figure 25.7 Comparison of wave profiles created by submerged spheres at positio...

Figure 25.8 Wave pattern and wave profile of two submerged spheres. Froude numb...

Figure 25.9 Comparison of wave profiles created by submerged spheres at positio...

Figure 25.10 Comparison of wave patterns and wave profiles created by two subme...

Figure 25.11 Wave resistance coefficient for a system of two submerged spheres;...

Figure 25.12 Wave resistance coefficient for a Wigley hull with length–beam rat...

Figure 25.13 Discretization of vessel bow into small panels for wave resistance...

Figure 26.1 Towing tank of the Hamburg Ship Model Basin, Photo courtesy of Hamb...

Figure 26.2 Towing tank at the School of Naval Architecture and Marine Engineer...

Figure 26.3 Schematic view of a towing tank

Figure 26.4 Definition of rail sagitta

Figure 26.5 Schematic of a cavitation tunnel without free surface

Figure 26.6 A model is prepared for cutting on the five axis mill. Photo courte...

Figure 26.7 The beginnings of a five bladed propeller model. Photo courtesy of ...

Figure 28.1 Simplified flow pattern at a propeller blade section. Kinematic sim...

Figure 29.1 Ship model set up for resistance test

Figure 29.2 Measured and derived data in the resistance test

Figure 29.3 Tank cross section area

and blockage factor

Figure 29.4 Measurements and length definitions for the computation of sinkage ...

Figure 29.5 Method of Prohaska to determine the form factor

Figure 30.1 Finding the form factor with Prohaska's method; only data points wi...

Figure 30.2 Measured mean sinkage and running trim angle of model

Figure 30.3 Measured total resistance of model as function of model speed

Figure 30.4 Resistance coefficients of model

Figure 30.5 Resistance coefficients of full scale ship

Figure 30.6 Full scale total resistance prediction (calm water)

Figure 30.7 Full scale effective power

Figure 31.1 Definition of the midship section and the computational length

fo...

Figure 31.2 Guidance for the optimum location of

as a function of Froude numb...

Figure 31.3 Resistance coefficients for the Guldhammer and Harvald method examp...

Figure 31.4 Total resistance and effective power for the Guldhammer and Harvald...

Figure 31.5 Charts for standard residuary resistance coefficients

after Guldh...

Figure 31.6 Charts for standard residuary resistance coefficients

after Guldh...

Figure 32.1 Forces acting on ship without and with propulsion system (a) Ship m...

Figure 32.2 A five‐bladed fixed pitch propeller with a Schneekluth nozzle to im...

Figure 32.3 Schematic of a water jet

Figure 32.4 The propulsion system with transmission powers and efficiencies

Figure 33.1 Fixed control volume around an idealized propeller (actuator disk)

Figure 33.2 Velocity and pressure distribution according to momentum theory

Figure 33.3 Ideal efficiency (jet efficiency) of propulsor momentum theory as a...

Figure 34.1 Example of a nominal wake field of a single propeller ship with mod...

Figure 34.2 Example of a nominal wake field of a single propeller ship with hig...

Figure 34.3 Major contributions to the nominal wake fraction (a) Origin of pote...

Figure 34.4 Frictional wake for twin screw vessels

Figure 34.5 Effect of propeller on pressure and velocity distribution at the st...

Figure 35.1 Parts of a propeller. Shown is a right‐handed, fixed pitch propelle...

Figure 35.2 Definition of propeller diameter

, blade radius

, hub radius

, a...

Figure 35.3 Hydrofoil section within a propeller blade

Figure 35.4 Pitch angle variation for a propeller with constant pitch