Studies in Wave Resistance. 581 
_ 800gp0% 7 4 1281 5121, 163841 _/ 31, 
mp Ee 45 pi 35 pi 315 F > (aaa5? 
iW Bil a / 31 256 1 , 8192 1 
Vereen One 2 
tapes Erte spre oo SB =) Q 
m/_3l 122 512 1 , 16384 1 
De eet ee Aad Mer 
(soe + sear 2 p= B15 pot 315 hal ( ) 
a 
The corresponding asymptotic expansion is 
S00gbIP A IIB A (2) (Bin (8) M2 (pz) 1] ay 
depigh an leas Hal UG eal 36 2 >) 
The general course of R is similar to that for Model A except that the 
values are less for velocities below about 0°36,/(gL) and higher for velocities 
above that value; for example, at p = 6 the resistance of B is 482 units, and 
at p= 1 itis 2546 units, while the corresponding values for A are 406-and 
2050 respectively. 
9. The third case is Model C with 6=1:25. We have then 
131072 gpbl f 529 | 25431 , 160 1 , 8000 1 
12ir p® 6912" 720 p27 pt” 63) pe 
— 23959 2641, 275 1\ z ( 23959», 68378 
9 
pp a — —————— ee 
903040 * 64512? *512p/ ° ~ 2 \2903040" * 483840 
47443, 111 
R= = 
2 
2903040” 17451520? 560 p 
560 1, 80001 
i 36 
op BS a) Op So 
220 1 , 4000 1 a! + (saaanag? 
63 p®? 63 =) ; 
and for large values of p, 
131072 gpblf 529 | 2543 1 ( ae 529 7) 
Rw~ : al if we “ 
121m 7p et 720 py \2p T608 sin (p a) 
_ 28865 1 - i 
36864 p (o-7) | } cD 
The remaining example, Model D, is a more pronounced variation from the 
standard form A. With 6 = 1-5, the forward point of inflection in the water- 
plane curve is at one-sixth of the length of the ship from the bow. 
We have in this case 
Rp — 204800 cee O11 1152 1, 9216 Va aT 
1210 4815p? 35 je 3 pe? 2 \O720 
191 99 1 a/ 37 5, 29 , 4608 1 
tapas) oo $l eae 672° 35 5) p 
coh Se er LD ee a 2216-4 
OE eu LL byl 
“Sano” Se Toss ey BY oS ml uh CY 
209 
