Design Report Guided Missile Submarine SSG(X) - AOE - Virginia ...

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SSG(X) Design – VT Team 3 Page 74 Table 47 - Summary of Propeller Performance for Each Condition Condition η (Open Water Efficiency) RPM AIP Endurance 0.741 25.9 AIP Sprint 0.772 109.8 Snorkel 0.759 60.7 .. 4.5.3 Fuel Calculations (Speed and Range) The optimized propeller characteristics and performance values are used in the propulsion model to determine the speed and endurance for each condition to ensure these values meet the ORD requirements. Table 48 summarizes the input values. Table 48 - Summary of Input Values for Speed and Endurance Calculations Condition V SFC Weight Battery PMF η KW24Avg SHP (kW) (knt) (lbf/ Fuel (lton) Capacity Electric (kW) ((hp*hr)) (kW*hr) AIP Endurance 5 5.74 621 5820 1.1 0.93 177.6 59 AIP Sprint 22 n/a (battery) n/a (battery) 5820 1.25 0.93 177.6 4129 Snorkel 12 0.355 139 5820 1.1 0.93 177.6 1061 The Shaft Horsepower (SHP) and Brake Horsepower (BHP) are calculated for each condition to determine the endurance. Figure 69 shows the AIP endurance and sprint calculations respectively. It was only necessary to determine a submerged SHP for these conditions. Endurance Range AIP: KW24AVG Paipavg := + BHPaipreq η elec Eaip := Sprint Range : Sprint pow Esprint := BHPreqsprint ES := E faip ( ) f1⋅1.05⋅Paipavg MaxFuncLoad := 738⋅kW BHPreqsprint := BHPreq + MaxFuncLoad Sprint pow := Ebattery + 1000⋅kW⋅hr ( Esprint ) ⋅V 18 E sprint From ELA Summary for Sprint Electric Loading = 0.998hr ES = 22 nm Paipavg = 268.074kW Eaip = 25.722days 1. Efaip := Wfaip ⋅ SFCaip BHPreqsprint 6.831 10 3 = × kW Yellow Values must be within ORD Add a 1000 kW*hr produced by the Fuel cells during sprint Figure 69 - AIP Endurance and Sprint Calculations Efaip 1.807 10 5 = × kW⋅hr
SSG(X) Design – VT Team 3 Page 75 The total SHP for the snorkel condition is the summation of the submerged SHP and the wave-induced SHP. To obtain an accurate wave induced coefficient of drag, a sixth degree polynomial is fitted to a drag curve provided by Captain Jackson’s propulsion notes. The calculation of the endurance snorkel is given in Figure 70. Snorkel Ra nge: SHPsnrkv = 797.568kW Froude # for Cdw Coef Calc: Vesnork Fn ( g⋅LOA) .5 := CDW 3561.3Fn 6 ⋅ 8812.6Fn 5 − ⋅ 8148.4Fn 4 + ⋅ 3454.3Fn 3 − ⋅ 654.09Fn 2 := + ⋅ − 40.235Fn ⋅ + .2726 CDW = 1.25 CW := 4⋅ Wave Induced: SHPW CW⋅S⋅ρSW Vesnork 3 := ⋅ SHP Snorkel: SHPsnrk := SHPsnrkv + SHPW Endurance Snork Calculation: FRSPsnk := f1⋅SFCsnk FRAVGsnk := 1.05⋅FRSPsnk PsnkAVG := Esnork := ⎡⎛ ⎢⎜ ⎣⎝ LOA D ⎞ ⎟ ⎠ CDW − 1.3606 SHPsnrk + KW24AVG ηelec Fn = 0.227 ⎤ ⎛ ⎥⎦ ⎜ ⎝ ( ) Wfsnk⋅Vesnork⋅TPA PsnkAVG⋅FRAVGsnk LOA D ⎞ ⎟ ⎠ 2 CW 7.355 10 4 − = × SHPW = 327.351kW SHPsnrk = 1125kW FRSPsnk 0.495 lbf = kW⋅hr FRAVGsnk 0.52 lbf = kW⋅hr PsnkAVG = 1878hp Esnork = 5612nm Figure 70 - Calculations for Snorkel The snorkel range does not meet the ORD requirement. Including the wave-induced drag increased the power required by 300 kW. Forty long tons of fuel were added to satisfy the requirement. The last equation in Figure 70 shows the calculations performed after the fuel was added so that the range now meets the required value.
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