viii r.ONTENI'S 



C'HArTKU ■»;{ DKl.lNKAlluN ol' SolUCK-SIXK FI.oW OlAt iKAMS Cuntimifd 



43.6 The Construclion of Two-Dimensional 



Stronm Forms iiikI Stream Piitterns from 

 Liiu* Sources and Sinks 



43.7 Flow Pattern for tlie T\vo-Dimeniiionnl 



Doublet and the Circular Stream Form . . 



43.8 Graphic Const met ion of Three-Dimensional 



Stream Forms and Flow Patterns .... 



43.9 Variety of Stream Forms Produced liy 



Sources and Sinks 



43.10 Source-Sink Flow Patterns by Colored 



Liquid and Kleetric Analogy 



4:i 11 I'ormulas for the Calculation of Stream-Form 

 Shapes and the Flow Patterns .Vround 



51) Them 



•13. 12 The Forces Exerted by or on Bodies .\round 

 CI Sources and Sinks in a Stream; Lagally's 



Theorem 



()2 -13. 13 Partial Ribliography on Sources and Sinks 



and Their .\pplieation 70 



(')7 43.14 Selected Heferences on I.Kigally'3 Theorem 71 



67 



G8 



CH.-VPTEH 44— FORCE, MOMENT. AND FT.OW DATA Fni; TIvnUOFOTT.S AXO EQI'IV- 

 ALENT FORMS 



44.1 General; Scope of Chapter 



44.2 Formulas for Calculating Circulation, Lift, 



Drag, and Other Factors 



44.3 Test Data from Typical Simple .■Mrfoll.-* and 



Hydrofoils 



44.4 Polar Diagrams for Simple Hydrofoils . . . 75 



44.5 Test Data from Compound Hydrofoils . . 75 



44.6 Flow Patterns .-Vroiind Typical Hydrofoils . 78 



44.7 Pitching Moment; Center-of-Prcssure Loca- 



tion 80 



44.8 Distribution of Velocity and Pressure on a 



Hydrofoil 80 



2 14.9 N'floi'ity aiul Pressure Fields .\round a 



Hydrofoil 82 



2 It. 10 Spanwise Distribution of Circulation and 

 Lift 83 



3 44.11 Kffective .\.spect Ratio for Equivalent Ship 



5 Hydrofoils 8.3 



5 44 12 Design Notes and Drag Data on Hydrofoil 



8 Planforms and Sections 83 



44.13 Quantitative Data on Cascade and Inter- 

 10 ference Effects 84 



CHAPTER 45— VISCOUS-FLOW DATA AND FRICTION-RESISTANCE CALCULATIONS 



01 



04 



General 



Reference Data on Ma.ss Density, Dj'namic 



. Viscosity, and Kinematic Viscosity . . . 



Representative Internal Shearing Stresses 

 in Water .Alongside Models and Ships . . 



Tables of Reynolds Numbers for Various 

 Ship Lengths and Speeds 04 



Data on and Prediction of Ship Boundary- 

 Layer Characteristics 95 



Typical Velocity Profiles in Ship Boundary 

 Layers 07 



The Development of Formulas for Calculat- 

 ing Ship Friction Resistance 00 



Li.st of I'rincipal I'Viction-Uesistance Form- 

 ulas for a Flat, Smooth Plate in Turbulent 

 Flow 102 



Specific Friction Coefficients for the Schoen- 

 herror ATTC 1947Meanline 104 



l.'iminar Sublayer Thicknesses in Tiirlmlcnl 

 Flow 



Friction Data for Water Flow in Intertial 

 PaHHUgCH 



Computation of the Wetted Surface of a Ship 100 



86 45. 13 Wetted-Surface and Boundary-Layer Calcu- 

 lations for the Transom-Stern ABC Ship 

 of Part 4 109 



45.14 lOstimating the. \llowances for Curvature . . 110 



45.15 Criterion for a Hydrodynamically Smooth 

 Surface 112 



45.10 Equivalent Sand Roughness 113 



45.17 Practical Definitions of Surface Roughness . 114 

 45 . 18 Determination of the Allowances for Rough- 

 ness 115 



45.19 Factors .VfTecting Fouling Resistance on 

 Ship Svirfaces 117 



45.20 The Prediction of Fouling Effects on Ship 

 Uesistance 120 



45.21 Ucfcrcnces Uclating to Fouling as .Vdecting 

 Ship Propulsion 125 



45.22 The Calculation of the Friction Dnig of a 

 Ship 120 



45.23 .Mlowancps for Friction Drag on Straight- 

 Element and Discontinuous-Section Hulls 127 



45.24 The Friction Resistance of a Planing Hull . . 128 



45.25 Friction Drag of a Craft Moored in a Stream 128 

 45 26 Selected Bibliography on Friction Resistance 128 



104 



ion 



CMAFrEIl 40— REFERENCE DA'IW ON SKPAIiATloN, l•:l)|)^•|Nl;, AND \()i; ri:\ MnljoN 



46 I Gcnoml 13;{ 4f, 4 Predicting Apparent Flow Deflection Around 



40 2 Hepamtinn Criteria 1;JU Separation /ones 130 



40 3 DcliTtion of S4-parat ion; Extent of the Z<ine 13(1 1(1 5 Estimate of Si-paration Drag Arouml a Ship 130 



