Abstract

This paper presents the experimental investigation of the three-dimensional resonant sloshing in a square-base elastic tank. Two kinds of tanks are used in the model test, one is rigid and the other one is elastic. Due to the influence of the fluid-structure interaction, the lowest natural frequency of the liquid in the elastic tank slightly differs from that in the rigid tank of the same internal size. The model tanks are exited in 1-D harmonic longitudinal motion. Three relative fill levels (h/L) of 0.167, 0.333 and 0.500 are considered. The comparisons of the steady-state wave regimes between the elastic tank and the rigid tank are presented.

Introduction

Liquid sloshing is of great significance with regard to the safety of LNG carriers, tankers and oil storage facilities et al. A variety of physical effects, such as the strongly nonlinearity, fluid viscosity, FSI, random excitation, local dynamic effects and transient effects are involved, liquid sloshing has been one of the most difficult issues in the fluid mechanics field.

In the early studies the linear potential flow theory is used to describe sloshing in many practical cases (Abramson, 1966). When the forcing frequency is in the vicinity of the lowest natural frequency, the nonlinear free-surface effects limit the applicability of the linear theory. Moiseyev (1958) explored the asymptotic nonlinear modal system to give the nonlinear approximate analytical solution of the liquid sloshing in tanks. The asymptotic technique is the foundation of many subsequent researches. Miles (1976) proposed the various multimodal method based on the various principle of Bateman-Luke. This method does not need an asymptotic ordering and the obtained modal function is infinite dimensional. Faltinsen (2000) further developed the multidimensional modal theory and studied the liquid sloshing for a variety of tank grapes and arbitrary forcing including resonant conditions. The above analytical method is based on the potential flow theory and fails to describe the liquid sloshing involving breaking wave phenomena and overturning flow surface. The CFD and physical experiments are usually used to model the flow features associated with shaped sloshing tanks and the viscous effect as well as the rotational flow.

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