Experimental and Theoretical Studies of Liquid Sloshing at Simulated Low Gravity

1967 ◽  
Vol 34 (3) ◽  
pp. 555-562 ◽  
Author(s):  
F. T. Dodge ◽  
L. R. Garza
Keyword(s):  
Natural Frequency ◽  
Mechanical Model ◽  
Small Diameter ◽  
Bond Number ◽  
Liquid Sloshing ◽  
Theoretical Studies ◽  
Low Gravity ◽  
Equivalent Mechanical Model ◽  
Experimental And Theoretical Studies ◽  
Experimental Comparisons

Analyses and experimental comparisons are given for liquid sloshing in a rigid cylindrical tank under conditions of moderately small axial accelerations; in particular, the theory is valid for Bond numbers larger than 10. The analytical results are put in the form of an equivalent mechanical model, and it is shown that the sloshing mass and the natural frequency of the first mode, for a liquid having a 0 deg contact angle at the tank walls, are smaller than for high-g conditions. The experimental data, obtained by using several small-diameter tanks and three different liquids, are compared to the predictions of the mechanical model; good correlation is found in most cases for the sloshing forces and natural frequency as a function of Bond number.

Dynamics of Liquid Sloshing in Upright and Inverted Bladdered Tanks

1987 ◽  
Vol 109 (1) ◽  
pp. 58-63 ◽  
Author(s):  
F. T. Dodge ◽  
D. D. Kana
Keyword(s):  
Structural Dynamics ◽  
Mechanical Model ◽  
The Body ◽  
Liquid Sloshing ◽  
Model Parameters ◽  
Test Results ◽  
Governing Equations ◽  
Low Gravity ◽  
Equivalent Mechanical Model ◽  
Mechanical Models

The sloshing of liquids in tanks that use a flexible, inextensible bladder to contain the liquid is investigated experimentally and theoretically. The bladder affects both the configuration of the liquid in the tank and the sloshing frequencies and motion. The governing equations of liquid sloshing coupled to the structural dynamics of the bladder are formulated and examined to determine the interaction between the body forces of the liquid and the stiffness of the bladder and to show that the slosh dynamics can be represented by equivalent mechanical models. Tests are conducted to establish such mechanical models for normal and low-gravity conditions. For an inverted tank (liquid above the bladder), the sloshing is sufficiently different from conventional sloshing that the form of the equivalent mechanical model as well as the numerical values of the model parameters must be derived from the test results.

Equivalent mechanical model for liquid sloshing during draining

2011 ◽  
Vol 68 (1-2) ◽  
pp. 91-100 ◽  
Author(s):  
Qing Li ◽  
Xingrui Ma ◽  
Tianshu Wang
Keyword(s):  
Mechanical Model ◽  
Liquid Sloshing ◽  
Equivalent Mechanical Model

A Mechanical Model for Low-Gravity Sloshing in an Axisymmetric Tank

2004 ◽  
Vol 71 (5) ◽  
pp. 724-730 ◽  
Author(s):  
M. Utsumi
Keyword(s):  
Mechanical Model ◽  
Bond Number ◽  
Characteristic Functions ◽  
Tank Wall ◽  
Efficient Computation ◽  
Analysis Method ◽  
Low Gravity ◽  
Frequency Responses ◽  
Cost Efficient ◽  
Lateral Excitation

A mechanical model for low-gravity sloshing in an axisymmetric tank is developed using a newly developed slosh analysis method. In this method, spherical coordinates, whose origin is at the top of the cone that is tangent to the tank at the contact line of the meniscus with the tank wall, are used to analytically determine the characteristic functions for an arbitrary axisymmetric tank for which it is customary to resort to numerical methods. By this means, fast and cost-efficient computation can be conducted. Parameters of the mechanical model are determined such that the frequency responses of the resultant force and moment to lateral excitation coincide with those of the actual sloshing system. Influences of the Bond number and the liquid-filling level on the parameters of the mechanical model are examined.

Parameter Computation of Equivalent Mechanical Models of Liquid Sloshing in Spacecraft Container

2013 ◽  
Vol 397-400 ◽  
pp. 209-212 ◽  
Author(s):  
Li Xin Zhang ◽  
Zheng Feng Bai ◽  
Yang Zhao ◽  
Xi Bin Cao
Keyword(s):  
Mechanical Model ◽  
Liquid Sloshing ◽  
Equivalent Model ◽  
Parameter Determination ◽  
Mass Model ◽  
Numerical Example ◽  
Equivalent Mechanical Model ◽  
Determination Process ◽  
Pendulum Model ◽  
Mechanical Models

Liquid sloshing is the source of disturbance. General the equivalent mechanical models are used to simulate the liquid sloshing in container. In this paper, the equivalent pendulum model for liquid sloshing is established. Further, the parameter relationship between the equivalent spring-mass model and equivalent pendulum model is presented. Then, parameter determination process of the equivalent mechanical model is proposed. Finally, a numerical example is implemented to calculate the parameters of equivalent model for liquid sloshing in a container.

scholarly journals Equivalent Mechanical Model for Lateral Liquid Sloshing in Partially Filled Tank Vehicles

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Zheng Xue-lian ◽  
Li Xian-sheng ◽  
Ren Yuan-yuan
Keyword(s):  
Cross Sections ◽  
Mechanical Model ◽  
Dynamic Effect ◽  
Liquid Sloshing ◽  
Lateral Acceleration ◽  
New Approach ◽  
Roll Control ◽  
Equivalent Mechanical Model ◽  
Parameter Values ◽  
Tank Vehicles

This paper reports a new approach to investigating sloshing forces and moments caused by liquid sloshing within partially filled tank vehicles subjected to lateral excitations. An equivalent mechanical model is used in the paper to approximately simulate liquid sloshing. The mechanical model is derived by calculating the trajectory of the center of gravity of the liquid bulk in tanks as the vehicle’s lateral acceleration changes from 0 to 1 g. Parametric expressions for the model are obtained by matching the dynamic effect of the mechanical model to that of liquid sloshing. And parameter values of a liquid sloshing dynamic effect, such as sloshing frequency and forces, are acquired using FLUENT to simulate liquid sloshing in tanks with different cross-sections and liquid fill percentages. The equivalent mechanical model for liquid sloshing in tank vehicles is of a great significance for simplifying the research on roll stability of tank vehicles and for developing active/passive roll control systems for these vehicles.

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