Wave Resistance 



that of a sphere of radius r has a column length equal to 4r/3, any other finer 

 choice of intervals is suitable. We note that, for 



a(n) < X < a(n + 1) , 



n 



y(x) = 2 2] ao(") sin{77[x-d(n)] } , 



n= 



'. : ci(x) - — — - 27t2_| ^0^"^ cos{7T [x-d(n)]} . . -• ; 



By the above procedure many waterlines for many different Froude numbers 

 F - v/v^ , length-draft ratios L/H, and radii of cylinder r/H were obtained. A 

 few of these are shown in Figs. 3 and 4 for L/H - 32 . 



10 



0.05 - 



005 0,10 015 020 0,25 030 0,35 0,40 045 050 



x/L 



Fig. 3 - Waterlines for cylindrical bulbs -L/H = 32 



0.15 



0,10 



0.05 



05 0,10 0.15 20 25 O30 35 040 45 50 



x/L 



Fig. 4 - Waterlines for cylindrical bulbs -L/H = 32 



MODEL TESTS 



To determine the effectiveness of the above procedure, Hydronautics, Inc. 

 had model resistance tests made for the case of L/H = 32, r/H = 0.604, F = 0.3 



1564 



