CONTENTS 



CHAPTER 46— REFERENCE DATA ON SEPARATION, EDDYING, AND VORTEX MO- 

 TION— Continued 



46.6 Separation Phenomena Around Geometric 



and Non-Ship Forms 140 



46.7 Vortex Streets and Rehited Phenomena . . 141 



46.8 Vortex Streets and Vibrating Bodies . . . 141 



46 . 9 Practical Applications of the Strouhal Num- 

 ber to Singing and Resonant Vibration . . 143 



46 . 10 References on Eddy Systems, Vortex Trails, 



and Singing 144 



CHAPTER 47- 

 PELLERS 



-THE INCEPTION AND EFFECT OF CAVITATION ON SHIPS AND PRO- 



47.1 

 47.2 



47.3 

 47.4 



47.6 



Scope of This Chapter 145 



General Rules for the Occurrence of Cavita- 

 tion on Ships and Appendages 145 



Vapor-Pressure Data for Water 146 



Tables of and Nomogram for Cavitation 



Numbers 147 



The Prediction of Cavitation on Hydrofoils 



and Blades 149 



Cavitation Data for Bodies of Revolution 

 and Other Bodies 151 



47.7 



47.9 

 47.10 



47.11 

 47.12 



The Effect of Cavitation on Screw-Propeller 

 Performance 152 



Photographing the Cavitation on Model and 

 FuU-Scale Propellers 153 



Propeller Cavitation Criteria 154 



Predicting Hub Cavitation and Hub Vor- 

 texes or Swirl Cores 155 



Prediction of Cavitation Erosion 156 



Propeller Performance Under Supercavita- 

 tion 156 



Selected Cavitation Bibliography 157 



CHAPTER 48— DATA ON THEORETICAL SURFACE WAVES AND SHIP WAVES 



48.1 

 48.2 



48.3 



48.4 

 48.5 



48.6 



48.7 



48.8 



Purpose of This Chapter 160 48 



Theoretical Wave Patterns on a Water 



Surface 160 48 



Hogner's Contribution to the Kelvin Wave 



System 161 48 



Summary of the Trochoidal-Wave Theory 161 48 



Elevations and Slopes of the Trochoidal 48 



Wave 163 



Tabulated Data on Length, Period, Velocity, 48 



and Frequency of Deep- Water Trochoidal 



Waves 166 48 



Orbital Velocities for Trochoidal Deep- 48 



Water Waves 166 



Data on Steepness Ratios and Wave Heights 48 



for Design Purposes 169 



Formulas for Sinusoidal Waves 170 48 



Standard Simple and Complex Waves for 

 Design Purposes 171 



Delineation of a Synthetic Three-Component 

 Complex Sea 172 



Tabulated Data for Actual Wind Waves . . 175 



The Zimmermann Wave 176 



Wind- Wave Patterns and Profiles by Modern 

 Methods 177 



Comparison Between Waves in Shallow 

 Water and in Deep Water 180 



Shallow- Water Wave Data 181 



General Data for Miscellaneous Waves; The 

 Tsunami or Earthquake Wave 181 



Bibliography of Historic Items and Refer- 

 ences on Geometric Waves 182 



Bibliography on Subsurface Waves .... 185 



CHAPTER 49— MATHEMATICAL METHODS FOR DELINEATING BODIES AND SHIP 

 FORMS 



49.1 Scope of This Chapter; Definitions .... 186 



49.2 The Usefulness of Mathematical Ship Lines . 186 



49 . 3 Existing Mathematical Formulas for Deline- 



ating Ship Lines 187 



49.4 Mathematical and Dimensionless Represen- 



tation of a Ship Surface 189 



49.5 Application of the Dimensionless Surface 



Equation to Ship-Shaped Forms .... 191 



49.6 Summary of Dimensionless General Equa- 



tions for Ship Forms 192 



49.7 Limitations of Mathematical Lines .... 192 



49.8 Value and Relationship of Fairness and 



Curvature 193 



49.9 Notes on Longitudinal Curvature Analysis . 195 



49 . 10 Graphic Determination of the Dimensionless 



Longitudinal Curvature of any Ship Line 196 

 Mathematic Delineation and Fairing of a 



Section-Area Curve 198 



Longitudinal Flowplane Curvature .... 199 

 Checking and Establishing Fairness of Lines 



by Mathematical Methods 199 



49 . 14 Illustrative Example for Fairing the Designed 



Waterline of the ABC Ship 200 



49. 15 Practical Use of Mathematical Formulas for 



Faired Principal Lines 203 



The Geometric Variation of Ship Forms . . 204 

 Selected References Relating to Mathe- 

 matical Lines for Ships 204 



49.11 



49.12 

 49.13 



49.16 

 49.17 



