Abstract

This paper presents a method to degign the optimum container shape and the appropriate velocity patterns considering the damping of sloshing in liquid container transfer. The slope angle of sidewall of a container is selected to suppress the amplitude of sloshing. Further, the shaped velocity pattern reduces the residual sloshing after the end of acceleration or deceleration of transfer by using a preshaping method. The sloshing phenomena are numerically analyzed by a boundary element method (BEM). The trapezoidal velocity patterns and the optimum container shapes are studied through BEM simulations for various slope angles of the sidewall of the container. In terms of a golden section method, which is a unidimensional search technique, the optimum shape of the container and the trapezoidal velocity pattern were determined by minimizing the maximum amplitude of sloshing under the restriction such as the volume of liquid and the length of free surface of the liquid.

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