Sloshing characteristics of liquid in a rectangular aqueduct with a baffle

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (3) : 169-175.

Fang Zhongjie, Zhou Ding, Wang Jiadong, Liu Weiqing

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Abstract

In this paper, the small amplitude sloshing of an ideal fluid in a rectangular rigid aqueduct with a rigid baffle was studied. The complicated fluid domain caused by the baffle was divided into several sub-domains with the simple shape and the uniform boundary conditions. The velocity potential functions corresponding to every fluid sub-domain were studied. The general expressions of the modal shape functions of each sub-domain were analytically deduced by using the method of separation of variables based on the superposition principle. According to the continuous conditions of velocity and pressure on the interface between two sub-domains and the free fluid surface wave conditions, the unknown coefficients in the velocity potential solutions can be uniquely obtained. The natural sloshing frequencies and modal functions were numerically determined by using the Fourier series expansion.

Key Words: rigid baffle; rectangular aqueduct; fluid sub-domain; generalized eigenvalue; natural frequency; modal shape function

Key words

rigid baffle

/ rectangular aqueduct / fluid sub-domain / generalized eigenvalue / natural frequency / modal shape function

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Fang Zhongjie, Zhou Ding, Wang Jiadong, Liu Weiqing. Sloshing characteristics of liquid in a rectangular aqueduct with a baffle[J]. Journal of Vibration and Shock, 2016, 35(3): 169-175

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