چکیده
|
In the present article, it has been tried to compute hydrodynamic forces and moments
in coupled sway, roll, and yaw motions of planing hulls. For this purpose, wedge water
entry has been considered in its generalized form with vertical, horizontal, and roll
velocities. Using potential theory, new added mass formulas for coupled sway, roll,
and yaw motion of planing hulls have been derived. Moreover, by introducing obliqueasymmetric
2D1T model and implementing momentum theory, sway force, roll
moment, and yaw moment have been computed. The obtained hydrodynamic forces
and moments have been compared against experimental results and previous empirical
method. It has been observed that the method is accompanied with large errors
and under-prediction, in the cases with zero and negative roll angle, especially at a
yaw angle of 15°, which is a related limitation of the method. Better accuracy in
prediction of sway force and yawing moment is observed at a trim angle of 6° and roll
angles of 10° and 20°, especially for small yaw angles. The main sources of errors are
found to be as follows. 1) Flow separation from the wedge apex in negative roll angle at
large yaw angles, which results in under-prediction of sway force, rolling moment, and
yawing moment 2) Tendency of the flow to move from starboard to port at a trim angle
of 6° for the vessel with a deadrise angle of 30° at a negative roll angle and yaw angle of
15°, which cannot be simulated by the current method. 3) Reduction of contribution of
hydrostatic pressure at a speed coefficient of 4.0, which is not well modeled by the
proposed method and results in under-prediction of rolling moment. 4) Overprediction
of center of pressure at a yaw angle of 10° and 15°, which results in
under-prediction of yawing moment. 5) Prediction of nonzero values for chine wetted
length at roll angles of 10° and 20° for the yawed vessel at a trim angle of 6°, which
results in under-prediction of rolling moment. 6) Over-prediction of starb
|