Arabian Journal for Science and Engineering

, Volume 44, Issue 5, pp 4245–4256

# Liquid Sloshing Problem in a Concrete Rectangular LSS with a Vertical Baffle

• Xuansheng Cheng
• Wei Jing
• Lijun Gong
Research Article - Civil Engineering

## Abstract

Vertical baffles can effectively control sloshing, so they are widely used in various types of liquid storage structures (LSSs). The velocity potential functions on both sides of the baffle are obtained using the separation of variables method and the superposition principle. Then, the simplified calculation method of the dynamic liquid pressure acting on the vertical baffle is derived, and the liquid sloshing heights on both sides of the vertical baffle are determined. Using the existing literature and numerical simulations, the analytical solutions are verified. To facilitate engineering applications, the coefficients of the dynamic liquid pressure are calculated using MATLAB. The static pressures on the left and right sides of the vertical baffle are equal and can offset each other. Therefore, the shear force and bending moment of the baffle can be obtained by integrating the dynamic liquid pressure, which is obtained using the simplified method. This method shows that the dynamic liquid pressure acting on the vertical baffle is less than that on the wall. In addition, the farther the baffle deviates from the central axis of the LSS, the greater the dynamic liquid pressure is. When the liquid height is constant, the dynamic liquid pressure acting on the baffle can be decreased with the decrease in distance between the baffle and the wall. Vertical baffle should be symmetrically arranged to reduce the dynamic liquid pressure and to result in equal liquid sloshing heights on both sides of the vertical baffle.

## Keywords

Rectangular liquid storage structure Liquid sloshing Vertical baffle Velocity potential Dynamic liquid pressure

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