Table of Contents 



INTRODUCTION xix 



SOURCE ABBREVIATIONS FOR REFERENCES xx 



PART 3— PREDICTION PROCEDURES AND REFERENCE DATA 



CHAPTER 40— BASIC CONCEPTS UNDERLYING ALL CALCULATIONS AND PREDIC- 

 TIONS 



40.1 The Calculation of Ship-Design and Per- 40.4 



formance Data 1 40.5 



40.2 Useful Formulas Embodied in Theoretical 40.6 



Hydrodynamics 2 40.7 



40.3 Present Limitations of Mathematical Meth- 



ods 2 



The Principles of Similitude 3 



Dimensions of Physical Quantities .... 4 

 The Derivation and Use of "Specific" Terms 5 

 Double or Multiple Solutions to the Equa- 

 tions of Motion 6 



CHAPTER 41— GENERAL FORMULAS RELATING TO LIQUID FLOW 



41.1 

 41.2 



41.3 

 41.4 

 41.5 

 41.6 

 41.7 



41.8 



The Use of Pure Formulas 



The Quantitative Use of Dimensionless 

 Numbers; The Mach and Cauchy Num- 

 bers 



The Euler and the Cavitation Numbers . . 



The Froude Number and the Taylor Quotient 



Calculation of the Reynolds Numbers . . . 



Application of the Strouhal Number . . . 



The Planing, Boussinesq, and Weber Num- 

 bers 



Derivation of Stream-Function and Velocity- 



7 Potential Formulas for Typical Two- 



Diniensional Flows 17 



41.9 Stream-Function and Velocity-Potential 



7 Formulas for Three-Dimensional Flows . 20 



8 41.10 The Determination of Liquid Velocity 

 Around Any Body 24 



Conformal Transformation 25 



Quantitative Relationship Between Velocity 



and Pressure in Irrotational Potential Flow 25 

 Tables of Velocity Ratios, Pressure Coeffi- 

 cients, Ram Pressures and Heads .... 30 



CHAPTER 42— POTENTIAL-FLOW PATTERNS, VELOCITY AND PRESSURE DIAGRAMS 

 AROUND VARIOUS BODIES 



42.2 



42.3 



42.4 



42.6 



42.7 



Various Methods of Drawing Streamlines 



Around Bodies 



Flow Patterns Around Geometric and Other 



Shapes; PubUshed Streamline Diagrams . 

 Flow Patterns in Ducts and Channels . . . 

 Flow Patterns for an Ideal Liquid Around 



Simple Ship Forms 



Flow Patterns About Yawed Bodies in an 



Ideal Liquid 



Velocity and Pressure Distribution Around 



a Body of Revolution 



Velocity and Pressure Diagrams for Various 



Two- and Three-Dimensional Bodies . . . 



42.8 The Distribution of Velocity and Pressure 



31 About an Asymmetric Body 43 



42 . 9 Flow, Velocity, and Pressure Around Special 



31 Forms 46 



39 42.10 Velocity and Pressure Distribution Around 



Schematic Ship Forms 47 



39 42.11 Pressure Distribution Along a Vee Entrance 48 



42. 12 Use of Doubly Refracting Solutions for Plow 



40 Studies 48 



42.13 Delineation of Flow Patterns by Electric 



40 Analogy 49 



42.14 Bibliography on the Electric Analogy for 



43 Flow Patterns 50 



CHAPTER 43— DELINEATION OF SOURCE-SINK FLOW DIAGRAMS 



43.1 General 52 43.4 



43.2 Delineation of Two-Dimensional Stream- 



Form Contours and Streamlines Around 43.5 



a Single Source in a Stream 52 



43 . 3 Graphic Construction of a Two-Dimensional 



Flow Pattern Around a Source and a Sink 54 



Graphic Determination of Velocity Around 

 Two-Dimensional Stream Forms .... 57 



Laying Out the Two-Dimensional Flow 

 Pattern Around Two Pairs of Sources and 

 Sinks in a Uniform Stream 58 



