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

\( V= \sqrt{gh} \)

image

image

\( V= 1,4\sqrt{gh} \)

image

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

image

with shallow water

Only divergent