Free and Forced Oscillations of Magnetic Liquids Under Low-Gravity Conditions

The sloshing of liquids in microgravity is a relevant problem of applied mechanics with important implications for spacecraft design. A magnetic settling force may be used to avoid the highly non-linear dynamics that characterize these systems. However, this approach is still largely unexplored. This paper presents a quasi-analytical low-gravity sloshing model for magnetic liquids under the action of external inhomogeneous magnetic fields. The problems of free and forced oscillations are solved for axisymmetric geometries and loads by employing a linearized formulation. The model may be of particular interest for the development of magnetic sloshing damping devices in space, whose behavior can be easily predicted and quantified with standard mechanical analogies.

Liquid Sloshing Damping Computation in Cylindrical Tank Based on VOF Method

For liquid sloshing in partially filled cylindrical tank, the influence of the free surface on the sloshing damping is very important, especially in the application of spacecraft. In order to calculate the damping characteristic of partially filled cylindrical tanks more accurately, the finite volume scheme base on Volume-of-Fluid (VOF) is used to simulate the interface flow in the tank. Second order accurate piecewise line interface construction scheme is used to reconstruct the free surface. Through the numerical simulation, the influence on the sloshing damping with different liquid fill ratios in the cylindrical tanks is obtained.At the end, by use of semi-empirical equation, found that it agrees with theoretical results reasonably well.

Liquid Sloshing Damping in an Elastic Container

It is proposed to investigate in this paper the damped vibrations of an incompressible liquid contained in a deformable tank. A linearized formulation describing the small movements of the system is presented. At first, a diagonal damping is introduced in the reduced equations of the hydroelastic sloshing problem. We obtain a nonclassically damped coupled system with a damping matrix that is not symmetric. Then, by projecting the system onto its complex modes, the frequency and time responses for different type of loads are built. A numerical application is illustrated on a test case.