Unsteady motion of a single bubble in highly viscous liquid and empirical correlation of drag coefficient

Unsteady motion of a single bubble in highly viscous liquid and empirical correlation of drag coefficient
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高粘液体中单个气泡的非定常运动与阻力系数的经验相关性

DOI:
10.1016/j.ces.2008.01.010
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发表时间:
2008-04
影响因子:
4.7
通讯作者:
--
中科院分区:
工程技术2区
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--
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利用电荷耦合器件(CCD)相机测量了单个气泡在高粘度静止液体中自由升起的非定常运动。利用图像分析软件对记录的图像序列进行数字化处理,得到气泡的加速度和稳态运动的测量值。在考虑附加质量力和历史力的情况下,计算了从加速运动到定常运动的总阻力系数。通过量纲分析,基于等效气泡直径,建立了单个气泡的总阻力系数与加速数、阿基米德数和雷诺数的函数关系式。所提出的关联式很好地反映了包括非定常加速运动和定常运动在内的大范围内总阻力的实验数据。对考虑单个气泡加速效应的综合附加质量系数和历史作用力系数进行了评估和关联。
The unsteady motion of single bubbles rising freely in a quiescent liquid with high viscosity was measured using a CCD (charge coupled device) camera. Sequences of the recorded frames were digitized and analyzed using image analysis software and the measurements of the acceleration and steady motion of bubbles were obtained. The total drag coefficient was calculated from the accelerating motion to the steady motion with the added mass force and history force included. In virtue of dimensional analysis, the total drag coefficient of single bubbles is correlated as a function of the acceleration number, Archimedes number and Reynolds number based on the equivalent bubble diameter. The proposed correlation represents very well the experimental data of the total drag force in a wide range covering both unsteady accelerating motion and steady motion. The combined added mass and history force coefficient accounting for the accelerating effect on single bubbles was evaluated and correlated.
DOI: 10.1017/s0022112064000210
发表时间: 1964-01-01
影响因子: 3.7
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