Effects of base aspect ratio on transient resonant fluid sloshing in a rectangular tank: A numerical study

Abstract

a b s t r a c tA validated pseudospectral σ-transformation model for ideal liquid with irrotational flow is used to study the base aspect effect on transient resonant fluid sloshing in a three-dimensional rectangular tank. Four different depth classes (shallow water, intermediate depth, finite depth and deep water) are investigated. Also, four base aspect ratios (very long base, half width base, nearly square base and square base) are considered. Longitudinal, diagonal and full excitations are applied to all cases. In a shallow water tank with a non-square base, different wave transient sloshing modes are observed. Also, the difference of the wave elevation between diagonal and full excitations is significant. Results show that contrary to the situation in deeper water tanks, sloshing in lower depth tanks strongly depends on the base aspect ratio.

Numerical modelling of 3D sloshing experiments in rectangular tanks

“…Different approaches can be distinguished. For example, low order asymptotic mathematical theories [8] and multimodal or pseudospectral methods that describe 10 nonlinear sloshing of irrotational flow have been derived in a general form in [11] and later applied to several tank shapes and fluid flow depths [12,13,14,15].…”

Effects of tank sloshing on submerged oil leakage from damaged tankers

“…applied in engineering practices and researches, including the potential theory, which assumes the fluid is inviscid, incompressible and irrotational (e.g. Kolaei et al,2015;Vaziri et al, 2015) respectively (Kim et al, 2007); the coupled model of linear ship motion and nonlinear sloshing flows has been applied to estimate the dynamic behavior of liquid tank motion with regular wave (Li et al, 2014).…”