LIST OF SYMBOLS AI Airy function f Depth of a point source P (e) Ex'vression defined in Equation (7.1) g Acceleration of gravity P Depth of keel of submarine k U2/g 0 K ,K Modified Bessel Functions of 2nd kind 0 J. ('. (2) Ln Ln Integrals defined in Equation (19) and (20), respectively M Strength of point source M Strength of line source per unit iength N. 0 pmq qm Coefficients of assymptotic expansion def'tned in Equation (Ag) Q = f(1-ta r2 a R Radial distance from singularity defined in Equation (2) U Relative veloci.y of w-*er at Inflinity x, y,-Rectangular TO-. hn.' 4oordinates, x in the direction of U and z vart.-calAy upward x x coordinate of singularity " Angle defined in Equation (2) r" Critical angle of 6 deftned in quation (8.) 9 , 9 Constant defined in Equatica (8)
9-Cavity Boundary Conditions without Hub Image and w ith Cubic Polynomial Source of Model 4717 10-Cavity Boundary Condition with 5-Degree Polynomial and without Hub Image of Model 4717 11-Cavity Boundary Condition with Hub Images and Cubic Polynomial Source of Model 4717 12-Boundary Condition on Cavity with 5-Degree Polynomial and Hub Images of Model 4717 13-Radial Component of Velocity with Cubic Polynomial Source of Model 4717 14-Radial Component of Velocity with 5-Degree Polynomial Source without Hub Image of Model 4717 15-Computed Pitch-Diameter Ratio of Model 4717 with Hub Image 16-Camber Correction Factor c of Model 4717 with Hub o Image, 6 = 2 Degrees and I = 2.5 17-Design Cavity Thickness t/(cC) at Leading Edge x/c = 0.1 18-Pitch-Diameter Ratio of Model 3770 with Leading-Edge Point Drag (Case 1) 19-Pitch-Diameter Ratio of Model 3770 without Leading-Edge Point Drag (Case 2) 20-Pitch-Diameter Ratio of Model 3870 (Case 1) 21-Pitch-Diameter Ratio of Model 3870 (Case 2) 22-Lifting-Surface Source Correction Factors (Case 2) 23-Camber Correction Factor c of Model 3770 o 24-Camber Correction Factor c of Model 3870 o 25-Drawing of Propeller 4717C 26-Drawing of Propeller 4738A 27-Placement of Brass Pin Perpendicular to Back of Blade 28-Pin Locations at 10, 30, 60, and 90 Percent of Chord at Nondimensional Radii (r/R) Values of 0.361, 0.544, and 0.726 for Propellers 4717C and 4738A
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