Effect of above-waterline hull shape on broaching-induced roll in irregular stern-quartering waves

  • Thet Zaw Htet
  • Naoya Umeda
  • Akihiko Matsuda
  • Daisuke Terada
Original article

Abstract

In this paper, the effect of the above-waterline hull shape on broaching danger in irregular stern-quartering waves was numerically investigated using the US Office of Naval Research (ONR)-tumblehome and ONR-flare hulls. To indicate the danger of broaching, the probability of a broaching-induced large roll angle of the two vessels was examined along with the probability of broaching. The numerically estimated broaching-induced roll angles were compared with the time histories of the free-running model experiments. Then, the effects of above-waterline hull shape on broaching danger in the North Atlantic were simulated for various speeds, autopilot courses and rudder gains.

Keywords

Effect of above-water hull form ONR-tumblehome ONR-flare Broaching Broaching-induced roll Irregular stern-quartering waves 

Abbreviations

aH

Rudder force increase factor

AR

Rudder area

FN

Rudder normal force

fα

Rudder lifting slope coefficient

JP

Advance coefficient of propeller

lR

Correction factor for flow-straightening effect due to yaw rate

NR

Rudder-induced yaw moment

U

Ship speed

UR

Resultant rudder inflow velocity

uR

Longitudinal inflow velocity component to rudder

vR

Lateral inflow velocity component to rudder

wP

Wake coefficient at propeller position

wR

Wake coefficient at rudder position

X

Calm-water ship resistance

xHR

Longitudinal position of additional lateral force due to rudder

xR

Longitudinal position of rudder

YR

Rudder-induced sway force

αR

Rudder inflow angle

β

Drift angle

\(\gamma\)

Flow-straightening coefficient for drift angle

\(\delta\)

Rudder angle

ε

Ratio of wake fraction at propeller and rudder position

\(\rho\)

Water density

θ

Pitch angle

\(\kappa\)

Propeller inflow speed increase constant

η

Ratio of propeller diameter to rudder span

ξG

Longitudinal position of the centre of the ship’s gravity from a wave trough

\(\varphi\)

Roll angle

χ

Heading angle from wave direction

Notes

Acknowledgements

This work was supported by the US Office of Naval Research Global Grant no. N62909-13-1-N257 under the administration of Dr. Woei-Min Lin and a Grant-in Aid for Scientific Research from the Japan Society for Promotion of Science (JSPS KAKENHI Grant no. 15H02327). The authors would like to thank Enago (http://www.enago.jp) for the English language review.

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Copyright information

© JASNAOE 2018

Authors and Affiliations

  1. 1.Department of Naval Architecture and Ocean EngineeringOsaka UniversitySuitaJapan
  2. 2.National Research Institute of Fisheries EngineeringJapan Fisheries Research and Education AgencyKamisuJapan

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