Dynamic Pressure Change of a Liquid Sloshing in a Rotating, Laterally Oscillating, Cylindrical Container Tatsuo Sawada1; Eisaku Yokose1; Yusuke Saito1; 1KEIO UNIVERSITY, Yokohama, Japan; PAPER: 111/Manufacturing/Regular (Oral) SCHEDULED: 14:00/Mon./Sao Conrado (50/2nd) ABSTRACT: Sloshing is the largely wave-like motion of the free surface of a liquid caused by the oscillation of a container. Even if the oscillation is small, the changes in the liquid level may increase. Swirling is the rotation of the free surface of a liquid that takes place when sloshing occurs in an axisymmetric container. There are two types of swirling: stable rotations and unstable rotations. Both sloshing and swirling are concerns for oil tanks, membrane-type LNG tankers, liquid-fuel tanks in rockets and missiles, etc. Hutton [1] investigated the motion of fluid in a tank undergoing transverse oscillations, and he predicted the range of frequencies over which swirling occurs. Numerous theoretical, experimental, and numerical studies of these phenomena have been conducted, as summarized by Ibrahim et al. [2-3]. Ohaba et al. [4] experimentally investigated the frequency response of the lateral sloshing and rotation of the (1, 1) mode wave in a cylindrical container undergoing uniform rotation around the vertical axis. They found that the direction of the swirling rotation depends on the excitation conditions and the rotation frequency. They pointed out that the swirling generated in a cylindrical container undergoing lateral oscillations can be stabilized by the energy dissipation caused by the rotational motion. Saito and Sawada [5] considered the qualitative influence of the rotation frequency of the cylindrical container on water sloshing, and they speculated that the rotational motion may stabilize the sloshing fluctuations of the free surface. In the present study, we clarify the dynamic characteristics of swirling in a rotating, laterally oscillating, cylindrical container. We measured the time-dependent dynamic pressure of the liquid on the wall of the container instead of the free-surface displacement of the liquid. The experimental parameters are the lateral forcing frequency, the rotation frequency of the cylindrical container, the liquid depth, and the viscosity of the liquid. We have also carried out a theoretical analysis in order to understand the experimental results. References: [1] R. E. Hutton, NASA Tech. Note D-1870 (1963) 1-64. [2] R. A. Ibrahim, V. N. Pilipchuk, T. Ikeda, Appl. Mech. Rev. 54 (2001) 133-199. [3] R. A. Ibrahim, Liquid sloshing dynamics, (Cambridge University Press, New York, 2005). [4] M. Ohaba, T. Sawada, S. Sudo, T. Tanahashi, Proc. JSME Fluids Eng. Conf. (1995) 203-204. [5] Y. Saito, T. Sawada, Unvrsl. J. Mech. Eng. 5 (2017) 97-101. |