A ship is 150 m long and has a wetted area of 5000 m2. If it is encrusted with barnacles, the ship requires 7000 hp to overcome friction drag when moving in seawater at 15 kn and 20oC. What is the average roughness of the barnacles? How fast would the ship move with the same power if the surface were smooth? Neglect wave drag. Note:  Treat the ship hull as a flat plate. Use eq. 7.48b to find effective barnacle roughness height. Use equation (7.45) White for the drag coefficient CD = D/.5pV2A , where A is the hull (plate) area, to find the ship velocity for smooth plate.

Elements Of Electromagnetics
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Fluid Mechanics Problem:

A ship is 150 m long and has a wetted area of 5000 m2.
If it is encrusted with barnacles, the ship requires 7000 hp to overcome friction drag when moving in seawater at 15 kn and 20oC. What is the average roughness of the barnacles? How fast would the ship move with the same power if the surface were smooth? Neglect wave drag.

Note: 

Treat the ship hull as a flat plate. Use eq. 7.48b to find effective barnacle roughness height.
Use equation (7.45) White for the drag coefficient CD = D/.5pV2A , where A is the hull (plate) area, to find the ship velocity for smooth plate.

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