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Practical Ship Hydrodynamics

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198 <strong>Practical</strong> <strong>Ship</strong> <strong>Hydrodynamics</strong><br />

Pdyn (ρ ⋅ V 2 max) / 2<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

0<br />

IFS 61−TR 25<br />

IFS 62−TR 25<br />

IFS 58−TR 15<br />

NACA−0024<br />

NACA−0021<br />

NACA−0018<br />

HSVA−MP 71−20<br />

NACA 64 2 −015<br />

0.25 0.50<br />

C Ll<br />

NACA−0015<br />

NACA 64 3 −018<br />

HSVA−MP<br />

73−20<br />

NACA 64 4 −021<br />

Figure 5.23 Extreme negative dynamic pressure of the suction side as a function of the local<br />

lift coefficient CLl and the profile<br />

If the resulting minimum pressure on the suction side is negative or slightly<br />

positive (less than 3 kPa), the side plating of the rudder is prone to cavitation.<br />

For a right-turning propeller (turning clockwise looking forward) the<br />

cavitation will occur:<br />

– on the starboard side in the upper part of the rudder relative to the<br />

propeller axis<br />

– on the port side in the lower part of the rudder relative to the propeller<br />

axis<br />

Brix (1993), pp. 91–92, gives an example for such a computation. Measures<br />

to decrease rudder side cavitation follow from the above prediction method:<br />

– Use profiles with small pdyn at the respective local lift coefficient. These<br />

profiles have their maximum thickness at approximately 40% behind the<br />

leading edge.<br />

– Use profiles with an inclined (relative to the mean rudder plane) or curved<br />

mean line to decrease the angle of attack (Brix et al. (1971)). For a rightturning<br />

propeller, the rudder nose should be on the port side above the<br />

propeller axis, on the starboard side below it.<br />

2. Rudder sole cavitation<br />

Due to the pressure difference between both sides of the rudder caused,<br />

e.g., by the rotation of the propeller slipstream, a flow component around<br />

the rudder sole from the pressure to the suction side occurs. It causes a<br />

0.75

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