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Practical Ship Hydrodynamics

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<strong>Ship</strong> manoeuvring 199<br />

rudder tip vortex (similar to propeller tip vortices) which may be filled by<br />

a cavitation tube. This may cause damage if it attaches to the side of the<br />

rudder. However, conditions for this are not clear at present. If the rudder<br />

has a sharp corner at the front lower edge, even for vanishing angles of<br />

attack the flow cannot follow the sharp bend from the leading edge to<br />

the base plate, causing cavitation in the front part of the rudder sole. As<br />

a precaution the base plate is bent upward at its front end (Brix et al.<br />

(1971)). This lowers the cavitation number below which sole cavitation<br />

occurs (Fig. 5.24). For high ship speeds exceeding, e.g., 26 knots cavitation<br />

has still been reported. However, it is expected that a further improvement<br />

could be obtained by using a smoothly rounded lower face or a baffle plate<br />

at the lower front end (Kracht (1987)). No difficulties have been reported<br />

at the rudder top plate due to the much lower inflow velocity.<br />

δ = P − PV r ⋅ V 2 /2<br />

3<br />

2<br />

1<br />

0<br />

Flat rudder sole<br />

Rounded leading edge<br />

0° 5° 10° 15° 20° 25°<br />

∝<br />

Figure 5.24 Cavitation number below which rudder sole cavitation occurs as a function of<br />

theangleofattack˛ and the rudder sole construction<br />

3. Propeller tip vortex cavitation<br />

Every propeller causes tip vortices. These are regions of low pressure, often<br />

filled with cavitation tubes. Behind the propeller they form spirals which are<br />

intersected by the rudder. Therefore, cavitation erosion frequently occurs at<br />

the rudder at the upper and sometimes lower slipstream boundaries, mainly<br />

(for right-turning propellers) on the upper starboard side of the rudder.<br />

This problem is not confined to high-speed ships. The best means to reduce<br />

these effects is to decrease gradually the propeller loading to the blade tips<br />

by appropriately reduced pitch, and to use a high propeller skew. These<br />

methods also reduce propeller-induced vibrations.<br />

4. Propeller hub cavitation<br />

Behind the propeller hub a vortex is formed which is often filled by a<br />

cavitation tube. However, it seems to cause fewer problems at the rudder

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