Sloshing Dynamics in 2D Multi-Baffled Containers Under Low-Gravity Conditions
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ORIGINAL ARTICLE
Sloshing Dynamics in 2D Multi-Baffled Containers Under Low-Gravity Conditions M. Ebrahimian1 · M. A. Noorian2 · M. Javadi3 Received: 18 December 2019 / Accepted: 26 August 2020 / Published online: 21 September 2020 © Springer Nature B.V. 2020
Abstract The sloshing free vibrations and the Equivalent Mechanical Model (EMM) parameters are determined for 2D multi-baffled containers under low-gravity conditions using Boundary Element Method (BEM) and potential flow model of the fluid. The presented model is applicable to any values of the acceleration of gravity and surface tension and to constant cross-section containers with arbitrary geometry, and baffle arrangement and shape. The results for a simple rectangular container are validated compared to the analytical values and very good agreement is achieved. Some baffled containers are also analyzed and their sloshing natural frequencies and EMM parameters are presented under low and zero-gravity conditions. Moreover, the effect of baffle characteristics on these parameters is investigated in a wide range of the acceleration of gravity and some conclusions are outlined. Keywords Low-gravity · Sloshing analysis · Equivalent mechanical model · Multi-baffled container · 2D container
Introduction The exerted hydrodynamic forces and moments on the walls of a container due to the liquid sloshing may cause high stresses on the structure of the container or its supporting system and disturb the trajectory of the vehicle which carries it. Therefore, the investigation of the hydrodynamic forces and moments on the walls of the liquid containers and also their effects on the dynamic characteristics of vehicle are important concerns especially in the low-gravity environments. In the normal gravity condition, the body force stabilizes the free-surface. In this condition, since the M. A. Noorian
[email protected] M. Ebrahimian [email protected] M. Javadi [email protected] 1
Mechanical Engineering Department, University of Alberta, Edmonton, Alberta, Canada
2
Faculty of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran
3
Aerospace Department, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran
body force is dominant, the effect of surface tension is not considerable. But the problem of liquid sloshing dynamics under low-gravity condition is different; because in this gravitational field, the body force is almost negligible and the surface tension forces become predominant. Many researches correlated to low-gravity sloshing were gathered by Ibrahim (2005) in a comprehensive literature. Many other individual researches have also been done in this field. For example, Neu and Good (1963) studied the equilibrium behavior of fluids at zero-gravity condition. Satterlee and Reynolds (1964) presented a variational principle to solve the sloshing problem in cylindrical containers under low-gravity effects. Dodge and Garza (1970) studied low-gravity sloshing in spherical, ellipsoidal, and cylindrical containers experimenta
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