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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

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