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A Numerical Analysis of the Behavior of the Free Surface in a Moving Cup  

Kim, Yun-Sun (Department of Mechanical Engineering, Graduate school, Kyung-hee University)
Hong, Tae-Hyub (Department of Mechanical Engineering, Graduate school, Kyung-hee University)
Kim, Chang-Nyung (Department of Mechanical Engineering, Kvung-hee University(Industrial Liaison Research Institute))
Rhim, Sung-Soo (Department of Mechanical Engineering, Kvung-hee University(Industrial Liaison Research Institute))
Publication Information
Korean Journal of Air-Conditioning and Refrigeration Engineering / v.21, no.7, 2009 , pp. 394-401 More about this Journal
Abstract
A manipulator is operated for the motion of mechanical hands or arms. When a cup including liquid inside is shifted by a manipulator, it is important to know how a free surface of the liquid moves. In this study, non dimensional parameters have been found that affect the rise of the free surface in a cup moving with constant acceleration. The non-dimensional parameters are the dimensionless time, the ratio of inertia effect to viscous effect (the Reynolds number), the aspect ratio of the liquid inside the cup and the acceleration ratio (the Froude number). Through this study, the height of the free surface rise in a cup has been predicted and the detailed velocities in the liquid have been examined. Generally, the maximum rise of the free surface is dependent on the Reynolds number and Froude number strongly, but on the aspect ratio weakly. However, the influence of the aspect ratio on the maximum rise of the free surface is not negligible in the range of 10 < Re < 100.
Keywords
Dimensional analysis; Free surface; Moving cup;
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  • Reference
1 Papaspyrou, S., Valougeorgis, D. and Karamanos, S. A., 2004, sloshing effects in half full horizontal cylindrical vessels under longitudinal excitation, Journal of Applied Mechanics, Vol. 71, pp. 255-265   DOI   ScienceOn
2 Donald F. Young, Bruce R. Munson Theodore H. Okiishi, Wade W. Huebsch, 2007, A Brief Introduction to Fluid Mechanics, 4th ed., Willy
3 Hirt. C. W. and Nicholls, B. D., 1981, Volume of fluid(VOF) method for the dynamics of free boundaries, Journal of Computational Physics, Vol. 39, pp. 201-225   DOI   ScienceOn
4 Guo Jiahong, Xu Hongyi, 1996, Numerical simulation of three dimensional turbulent flow in suddenly expanded rectangular duct, Applied Mathematics and Mechanics, Vol. 17, No. 4, pp. 365-372
5 Bang-Fuh Chen and Roger Nokesb, 2005, Time-independent finite difference analysis of fully nonlinear and viscous fluid sloshing in a rectangular tank, Journal of Computational Physics, Vol. 209, No. 1, pp. 47-81   DOI   ScienceOn
6 Donald F. Young, Bruce R. Munson Theodore H. Okiishi, Wade W. Huebsch, 2007, A Brief Introduction to Fluid Mechanics, 4th ed., Willy