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Academics – Naval Architecture : 2021/OCT/07
Question

Q7) A ship of length 156 m and breadth of 24 m floats at a draught of 8.25 m in sea water of density 1025 kg/m3. In this condition the block coefficient (Cb) is 0.72.

A geometrically similar model, 6 m in length, gives a total resistance of 43.55 N when tested at a speed of 1.65 m/s in fresh water of 1000 kg/m3 at a temperature of 12oC.

The following data are also available:

Ship correlation factor = 1.23

Temperature correction = ±0.43% per oC.

Wetted surface area(S) = 2.57 √∆L (m2)

Frictional coefficient for the model in water of density 1000 kg/m3 at 15oC is 1.655

Frictional coefficient for the ship in water of density 1025kg/m3 at 15oC is 1.411

Speed in m/s with index (n) for ship and model 1.825

The ship is travelling at the corresponding speed to the model in sea water of density 1025 kg/m3 at a temperature of 150C.

Calculate the effective power of the ship.  (16)

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