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http://dx.doi.org/10.2478/IJNAOE-2013-0168

Moment of inertia of liquid in a tank  

Lee, Gyeong Joong (KRISO (Korea Research Institute of Ships & Ocean Engineering), KIOST)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.6, no.1, 2014 , pp. 132-150 More about this Journal
Abstract
In this study, the inertial properties of fully filled liquid in a tank were studied based on the potential theory. The analytic solution was obtained for the rectangular tank, and the numerical solutions using Green's 2nd identity were obtained for other shapes. The inertia of liquid behaves like solid in recti-linear acceleration. But under rotational acceleration, the moment of inertia of liquid becomes small compared to that of solid. The shapes of tank investigated in this study were ellipse, rectangle, hexagon, and octagon with various aspect ratios. The numerical solutions were compared with analytic solution, and an ad hoc semi-analytical approximate formula is proposed herein and this formula gives very good predictions for the moment of inertia of the liquid in a tank of several different geometrical shapes. The results of this study will be useful in analyzing of the motion of LNG/LPG tanker, liquid cargo ship, and damaged ship.
Keywords
Inertia of liquid; Sloshing; Roll moment of inertia; Liquid in a tank; Fully filled tank;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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