336 P. Mandel 
Where: L = length 
L, = length of cylinder (parallel middle body) 
L, = length of single conical end 
D 
V 
= diameter of cylinder, hemisphere, or base of cone 
= volume 
Cp = prismatic coefficient = 
2p 2p, 
4 
S = wetted surface 
S 
= tted f ffici —————— 
Ge wetted surface coefficient ADL 
When these basic shapes are combined together with either the cones or the hemispheres 
forming the ends, the sums of the wetted areas as expressed above form the total wetted 
surface including that of the ends. The total Length L is then the sum of L, plus the 
length of both ends. It then becomes convenient to introduce the nondimensional expressions 
L,’ = L,/L and L,’ = L,/L. With these definitions the following relationships apply: 
Hemispherical Ends: 
aL ing) Li y3 
rae ree 1 
Bin miganaiad fy « eo 
q Pel 
Rit 
TDL, + 7D2 | 
Lege are rae 
Conical Ends: 
| OIE) BPS) DONE So) 2 
TT TT 
qdLx +@ DL: 4 
ej 
— D2, 
4 
7 D2 
MDL, + > DL, Ee 4 1./D2 Fs 
C, Se) ae =l- 2L 4’ + Dy L2 + 4L, 
Hemispherical nose, Conical Tail: 
D 1 D 
L,=L-L,->; L,! = 1-Le -aF 
TT TT 
—D2L +—~ D3 +s Dats! 
ihe Beteaiss al EA eum dani a jbo 2/3! = 
4 D?L 
2 
nDL, +% D2 +4 DL, You + 4 - 
cn = z 2 be =1-L,’ +~>5+ 4L,'? 
age FR EDL STI Om ane: TCM POT IONe whet 
ale 
Sls 
