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Wake Fraction & Thrust Deduction

Hull-propeller interaction factors. Wake fraction w reduces the water arriving at the propeller disk vs the ship speed; thrust deduction t increases the thrust the propeller has to deliver vs bare-hull resistance. Both come from Harvald regression or model-basin tests.

DesignPropeller

Hull particulars

Bare-hull input

Wake fraction w
0.360–
Thrust deduction t
0.226–
Hull efficiency η_H = (1−t)/(1−w)
1.209–
Advance velocity V_A
4.61m/s
Required thrust T
1,033.6kN

Formula, assumptions, and limits

w=0.5CB−0.05 (single screw),w=0.25CB−0.05 (twin screw)w = 0.5 C_B - 0.05 \text{ (single screw)}, \quad w = 0.25 C_B - 0.05 \text{ (twin screw)}
SymbolMeaningUnit
wwTaylor wake fraction
ttThrust deduction fraction
ηH\eta_HHull efficiency
CBC_BBlock coefficient
VVShip speedm / s
VAV_AAdvance velocity at propeller diskm / s
RTR_TBare-hull resistancekN
TTThrust requiredkN

Source: Harvald - *Resistance and Propulsion of Ships* (1983); ITTC - *Propulsion Committee Standard Procedure*

In short

Hull-propeller interaction factors w, t, η_H using Harvald's closed-form regression.

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