Abstract
The equilibrium and dynamic behavior of a liquid in an axisymmetric container at low gravity are investigated. Partial spherical coordinate systems are introduced 1) to express the liquid surface as a single-valued function and 2) to satisfy the compatibility of the liquid surface displacement at the container wall. The former 1) is convenient for the mathematical formulation while the latter 2) is essential to the precise evaluation of the gravity and surface tension potential. The spherical coordinates, moreover, present an analytical method for solving the sloshing problem in various axisymmetric containers, for which it has been customary to resort to numerical methods such as FEM and BEM. The basic equations are obtained from variational principles, by which the surface tension potential can be calculated more efficiently than by using Laplace's law. Numerical results are shown for the equilibrium liquid surface configurations, slosh frequencies and slosh forces.
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Schedule a callMore From: JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
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