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Practical Ship Hydrodynamics

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Resistance and propulsion 65<br />

3.1.2 Decomposition of resistance<br />

As the resistance of a full-scale ship cannot be measured directly, our knowledge<br />

about the resistance of ships comes from model tests. The measured calmwater<br />

resistance is usually decomposed into various components, although<br />

all these components usually interact and most of them cannot be measured<br />

individually. The concept of resistance decomposition helps in designing the<br />

hull form as the designer can focus on how to influence individual resistance<br />

components. Larsson and Baba (1996) give a comprehensive overview<br />

of modern methods of resistance decomposition (Fig. 3.1).<br />

Wavemaking<br />

resistance R WM<br />

Residual resistance R R<br />

Pressure resistance R P<br />

Wave resistance R W<br />

Wavebreaking<br />

resistance R WM<br />

Figure 3.1 Resistance decomposition<br />

Total resistance R T<br />

Form effect on skin friction<br />

Viscous pressure resistance R PV<br />

Total resistance R T<br />

Skin friction resistance R FO<br />

(equivalent flat plate)<br />

Friction resistance R F<br />

Viscous resistance R V<br />

The total calm-water resistance of a new ship hull can be decomposed into:<br />

ž Friction resistance<br />

Due to viscosity, directly at the ship hull water particles ‘cling’ to the<br />

surface and move with ship speed. A short distance away from the ship, the<br />

water particles already have the velocity of an outer, quasi-inviscid flow.<br />

The region between the ship surface and the outer flow forms the boundary<br />

layer. In the aftbody of a container ship with Rn ³ 10 9 , the boundary layer<br />

thickness may be 1 m. The rapid velocity changes in normal direction in the<br />

boundary layer induce high shear stresses. The integral of the shear stresses<br />

over the wetted surface yield the friction resistance.<br />

ž Viscous pressure resistance<br />

A deeply submerged model of a ship will have no wave resistance, but its<br />

resistance will be higher than just the frictional resistance. The form of the<br />

ship induces a local flow field with velocities that are sometimes higher and<br />

sometimes lower than the average velocity. The average of the resulting<br />

shear stresses is then higher. Also, energy losses in the boundary layer,<br />

vortices and flow separation prevent an increase to stagnation pressure in<br />

the aftbody as predicted in an ideal fluid theory. Full ship forms have a<br />

higher viscous pressure resistance than slender ship forms.

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