Influences of Vorticity to Vertical Motion of Two-Dimensional Moonpool under Forced Heave Motion

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Corner shape</td><td align="center">Square</td><td align="center">Rounded</td><td align="center">%</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">Wave elevation (<svg height="17.25" id="M66" style="vertical-align:-3.69684pt" version="1.1" viewbox="0 0 50.299999 17.25" width="50.299999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>)</td><td align="center">8.87</td><td align="center">11.71</td><td align="center">132.0</td></tr><tr><td align="left">Sway force (<svg height="21.012501" id="M67" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 81.425003 21.012501" width="81.425003" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.637,19.862)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
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<g transform="matrix(.012,-0,0,-.012,68.05,7.613)"><path d="M535 230h-483v50h483v-50z" id="x2212"></path></g><g transform="matrix(.012,-0,0,-.012,75.035,7.613)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
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</svg>)</td><td align="center">11.35</td><td align="center">15.17</td><td align="center">133.7</td></tr><tr><td align="left">Heave force (<svg height="21.012501" id="M68" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 81.425003 21.012501" width="81.425003" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>)</td><td align="center">7.51</td><td align="center">9.41</td><td align="center">125.3</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Effects of the corner shape of the narrow moonpool at <svg height="20.275" id="M65" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 114.1125 20.275" width="114.1125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>.

Mathematical Problems in Engineering

tab3

Table 3

Table 3: Influences of Vorticity to Vertical Motion of Two-Dimensional Moonpool under Forced Heave Motion 