Wave Resistance. 588 
in (19) for four values of y, namely, 0, 0-1, 0-2, 0-4. Omitting the details 
of the work, we have in these cases 
Q(0)-- 0-707 1 +a) — L326) _ 1237044) _ 4-75) | 
ip p p 
2 GGG Te -916% 
ANON) Aeron LHD oon 916% 
we SUE a ce 
p 
. 1:473—1:2632  1-634-+0-472 
0-2) — 0-766-+-0- 6282 — ———___—_——- — __~—" __—_- 
Q (0-2) a; a F a 
<j eB Seabee Ney 
P 
Q (0-4) — 0-798--0-541é So La we) (1) 
6. We proceed now to calculate and graph the wave resistance as a function 
of the velocity for three different draughts. The curves are shown in fig. 2 
(p. 590) in non-dimensional co-ordinates, the ordinates being R/gpb?/ and the 
abscisse V/\/L. In the notation used, we have 2b = beam, 21 = length, 
d = draught, V = velocity in knots and L = length in feet; thus 
V/V L = v/(11-594/p), approximately. 
The first case is that of infinite draught, for which 8 =d/21= 00. Here (20) 
reduces to 
Ram ae ( +e TRG al( = = 7Q (o)}. (22) 
This case has been calculated me from more complete formule ; 
the use of (22) now serves to check the range of the asymptotic formule for Q. 
The second case is for the draught one-tenth of the length, or 8 = 0-1, so 
that 
— Sing (4 Ald 
xp 107)" Be (5? 
ED Real (2) e” {Q (0) — 2e-*? Q (0-2) + e-?Q (0-4) | (23) 
yD 
Finally, for the draught one-twentieth of the length, or 8 = 0-05, we have 
256geb4 (2 4, G 
xp® 3\90? ig °\90P 
eRe (Z) &” {Q(0) — 2e-#”Q(0-1) + e-*Q(0-2}] 24) 
* © Roy. Soc. Proc.,’ A, vol. 103, p. 579 (1928). 
