Design Report Guided Missile Submarine SSG(X) - AOE - Virginia ...
Design Report Guided Missile Submarine SSG(X) - AOE - Virginia ...
Design Report Guided Missile Submarine SSG(X) - AOE - Virginia ...
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<strong>SSG</strong>(X) <strong>Design</strong> – VT Team 3 Page 71<br />
4.5.2 Propeller Optimization<br />
Additional calculations provided values for the wake fraction, thrust deduction factor and thrust. Figure 64<br />
shows the calculations for these values. These values were necessary for optimization of the propeller.<br />
S<br />
Cws :=<br />
π⋅LOA⋅D w := 1 − .371 − 1.7151⋅<br />
t := 1 − .632 − 1.3766⋅<br />
t := if( t < .17,<br />
.17,<br />
t)<br />
VA := V⋅( 1 − w)<br />
RT T :=<br />
( 1 − t)<br />
⋅ NP ηH :=<br />
1 − t<br />
1 − w<br />
Cws = 0.819<br />
D P<br />
D P<br />
D<br />
D<br />
LOA<br />
Cws⋅ D<br />
t = 0.17<br />
ηH = 1.037<br />
LOA<br />
Cws⋅ D<br />
speed of advance -<br />
average wake velocity<br />
seen by prop<br />
hull efficiency<br />
t = 0.112<br />
w = 0.31<br />
EHP<br />
THP :=<br />
ηH wake fraction<br />
thrust deduction fraction - prop<br />
changes pressure distribution around<br />
hull which effectively changes the<br />
resistance of towed hull<br />
w := if( w > 0.2,<br />
0.2,<br />
w)<br />
Figure 64 - Calculation of Wake Fraction, Thrust Deduction Factor and Thrust<br />
Optimization of the propeller is performed using the Michigan POP (Propeller Optimization Program). The<br />
program is based off of the Wageningen B Series propeller curves. The propeller is optimized for AIP endurance<br />
and is then evaluated for snorkel and AIP sprint. If the propeller cavitates or is not feasible, it must be re-optimized.<br />
Table 45 shows the input values for the propeller analysis.<br />
Table 45 - Input Values for Propeller Optimization<br />
Description Value<br />
Thrust AIP endurance @ 5 knt 18.14 kN<br />
Thrust AIP Sprint @ 22 knt 298.6 kN<br />
Thrust Snorkel (submerged) @ 12 knt 94.71 kN<br />
Propeller Diameter (Dp) (optimized) 4.5 m<br />
Wake fraction (based on Prop Dia) 0.20<br />
Depth of shaft centerline (<strong>SSG</strong>X submerged) 30 m<br />
Depth of shaft center line (snorkel) 14 m<br />
Number of blades 7<br />
Burrill Percent of Back Cavitation 5%<br />
Weight fuel AIP (Hydrogen) 621 lton<br />
Weight fuel Diesel 160 lton<br />
w = 0.2