Q7. A ship of length 140 m and breadth of 22 m floats at a draught of 9 m in sea water of density 1025 kg/m3. In this condition the block coefficient (G) is 0.72.
A geometrically similar model, 5 m in length, gives a total resistance of 30.85 N when tested at a speed of 1.55 m/s in fresh water of 1000 kg/m3 at a temperature of 12oC.
The following data are also available:
Ship correlation factor 1.22
Temperature correction ±0.43% per oC
Frictional coefficient for the model in water of density 1000 kg/m3 at 15oC is 1.694
Frictional coefficient for the ship in water of density 1025 kg/m3 at 15oC is 1.415
Speed in m/s with index (n) for ship and model 1.825
Wetted surface area (S) = 2.57 m2.
Calculate the effective power of the ship at the speed corresponding to the model when the ship is travelling in sea water of density 1025 kg/m3 at a temperature of 15oC. (16)
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