Damped Zigzag Upward Motion of a Ball in Fluid: a Numerical Model

M. Tajuddin
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Abstract

Several types of upward motion of a ball in a cylinder filled with water are observed in experiment such as straight, damped zigzag, and zigzag upward motion. Center of mass of the balls and the way the balls are released play important role to determine the type of occuring upward motion. A simple theoretical model regarding only gravitational force, Stokes drag force, and Archimedes bouyancy force, where the work points of these forces are not coincident, are developed and used to explain the damped zigzag motion.
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球在流体中的阻尼之字形向上运动:一个数值模型
在实验中观察到球在装满水的圆柱体中的几种向上运动,如直线运动、阻尼之字形运动和之字形向上运动。球的质心和球的释放方式决定了发生向上运动的类型。建立了一个简单的理论模型,只考虑引力、斯托克斯阻力和阿基米德浮力,其中这些力的工作点不重合,并用于解释阻尼之字形运动。
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