A model is developed to describe the motion of a viscous liquid within a partially filled moving container. The motion may be quite arbitrary, including both linear and angular time varying accelerations. The incompressible three dimensional Navier-Stokes equations are cast into a frame appropriate for the description of this motion by using a series of coordinate transformations which translate and rotate the frame of reference so as to match the accelerated frame of the container. The governing equations are finite-differenced on a body fitted grid and solved using an implicit, iterative, second order accurate numerical technique. The model, which is presented here in detail, is being used to study liquid sloshing phenomena for motions characteristic of spin-stabilized spacecraft. Sample results for two simple test cases are included. These involve the spinning of a spherical container about its axis of symmetry, and about a spin axis located outside the container. Information on the free surface position, the velocity field, and viscous damping is included.
A numerical model for 3-D viscous sloshing in moving containers
Ein numerisches Modell für dreidimensionales, viskoses Schwappen in sich bewegenden Behältern
1990
12 Seiten, 8 Bilder, 14 Quellen
Conference paper
English
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