﻿ 基于Bessel展开法的微重下圆柱贮箱内液体小幅晃动特性研究

基于Bessel展开法的微重下圆柱贮箱内液体小幅晃动特性研究 Characterization of Low-Gravity Liquid Sloshing with Small Amplitude in a Cylindrical Cavity Basing on Bessel Expansion Method

Abstract:

The present study is based on the problem of liquid sloshing with small amplitude in a partial filling cylindrical cavity under harmonic excitation and low-gravity environment. Liquid sloshing velocity potential and wave height function, which are the problems belongs to Laplace equation and boundary conditions, were formulated using Bessel expansion method in this paper. Since the phenomenon o “crescent” of free surface due to low-gravity, the solving process of velocity potential and wave height become more difficult. And the study of characters of liquid sloshing with small amplitude in a cylindrical cavity in low-gravity condition was presented. Based on the consideration of surface tension and the foundation of the predecessor studies, the analytical solution of Laplace equation was calculated after the liquid velocity potential and wave height function were formulated firstly. Then the liquid sloshing force and sloshing moment ware given, and frequency of liquid free sloshing and velocity potential were computed. The equivalent mechanical model of mass-spring was established by mechanical equivalent principle. The present method was certified by comparison between numerical numerical solution and analytical solution. The relationship between parameters of the equivalent mechanical models and Bond number were revealed.

Abstract:

Abstract:

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