Shallow Water Effects (1/2)
Low clearence
below keel
High water veloc
Low pressure
Consequence
Sinkage
Trim
Increased frictional resistance
Also sideways (Canal)
worsen consequences
Limits
Speed
avoid touching bottom
Changes
wave pattern
Surface velocity of waves
Deep water
Shallow water
V²= \dfrac {gL_w}{2 \pi}
\( V²= gh \)
Wave change (shallow water)
\( V= 0,4\sqrt{gh} \)
\( V= \sqrt{gh} \)
Critical value
\( V= \sqrt{gh} \)
\( V= 1,4\sqrt{gh} \)
Havelock
Wave of translation
Very high WAVE resistance
Critical speeds
happens earlier
when in shallow water
Wave of translation
appears at
lower speeds
Subcritical
Supercritical
Voyeur Vê RaizGa eLa com 2 Picas é profunda
É crítico quando Vê e não RaizGahh
\( \sqrt{gh} < 1,77\sqrt{gL_w} \)
Does not Change wave pattern
with shallow water
Only divergent