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Effect of Froude number on the motion of a spherical particle launched vertically upward in water
Experimental Thermal and Fluid Science ( IF 3.2 ) Pub Date : 2021-06-01 , DOI: 10.1016/j.expthermflusci.2021.110453
K. Takamure , T. Uchiyama

A spherical particle with a diameter of 25.4 mm and density of 2640 kg/m3 was launched vertically upward toward the free surface of calm water. The Froude number of the particle passing through the water surface was varied. The dependence of the Froude number on the particle motion and water surface behavior was investigated from the instant the particle crossed the water surface until it attained its maximum displacement position. Based on the classical energy conservation law, the energy lost in the interaction between the particle and water surface (i.e., interface containing energy, Eo) was estimated. Eo was found to increase with the increase in the Froude number when the particle crossed the water surface. In addition, owing to Eo at the maximum displacement position of the spherical particle, the height and width of the interfacial water sheet changed by the same ratio at the point of intersection of the upper side of the particle with the calm water surface. This result was in agreement with that obtained by changing the submergence depth, as reported by Takamure and Uchiyama (2020). This finding suggests that the characteristics of the interfacial water sheet are the dominant parameters influencing the interface containing energy. The presented findings can help determine the parameters to model the water exit problem.



中文翻译:

弗劳德数对垂直向上发射的球形粒子在水中运动的影响

直径为25.4mm,密度为2640kg/m的球形颗粒3被垂直向上发射到平静水面的自由表面。通过水面的粒子的弗劳德数是变化的。从粒子穿过水面的瞬间直到它达到其最大位移位置,研究了弗劳德数对粒子运动和水面行为的依赖性。根据经典能量守恒定律,粒子与水面(即含有能量的界面,) 估计。 当粒子穿过水面时,发现随着弗劳德数的增加而增加。此外,由于在球形颗粒的最大位移位置,在颗粒上侧与静水面的交点处,界面水层的高度和宽度以相同的比例变化。如 Takamure 和 Uchiyama (2020) 报道的那样,该结果与通过改变淹没深度获得的结果一致。这一发现表明界面水层的特性是影响界面包含能量的主要参数。所呈现的发现可以帮助确定参数以模拟出水问题。

更新日期:2021-06-03
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