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Shape oscillations and path transition of bubbles rising in a model bubble column

机译:模型气泡柱中气泡上升的形状振荡和路径转换

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We investigate experimentally the occurrence of shape oscillations accompanied by path transition of periodically produced air bubbles rising in water. Within the period of bubble formation, the induced velocity is measured to examine bubble-liquid and bubble-bubble interactions. The flow is produced in a small-scale bubble column with square-shaped cross section. A capillary aerator produces bubbles of size 3.4mm at a frequency of 5 Hz. Measuring techniques employed are high-speed imaging to capture bubble shape oscillations and path geometry, and laser-Doppler anemometry (LDA) to measure the velocity in the liquid near the rising bubbles. The experimentally obtained bubble shape data are expanded in Legendre polynomials. The results show the occurrence of oscillations by the periodicity of the expansion coefficients in space. Significant shape oscillations accompanied by path transition are observed as the second-mode oscillation frequency converges to the frequency of the initial shape oscillations. The mean velocity field in the water obtained by LIDA agrees well with potential theory. An analysis of the decay of the induced flow shows that there is no interaction between the flow fields of two succeeding 3.4 mm bubbles in the rectilinear path when the bubble production frequency is lower than 7.4 Hz. (c) 2006 Elsevier Ltd. All rights reserved.
机译:我们通过实验研究了形状振荡的发生,伴随着周期性产生的气泡在水中上升的路径过渡。在气泡形成期间,测量感应速度以检查气泡-液体和气泡-气泡的相互作用。流动在具有正方形横截面的小型气泡塔中产生。毛细管曝气器以5 Hz的频率产生大小为3.4mm的气泡。所采用的测量技术包括:高速成像,以捕获气泡形状的振荡和路径几何形状;激光多普勒风速仪(LDA),用于测量上升的气泡附近液体中的速度。实验获得的气泡形状数据在勒让德多项式中展开。结果表明,空间膨胀系数的周期性会引起振荡。随着第二模式振荡频率收敛到初始形状振荡的频率,观察到伴随路径转换的明显的形状振荡。 LIDA获得的水中平均速度场与潜能理论非常吻合。对诱导流衰减的分析表明,当气泡产生频率低于7.4 Hz时,直线路径中两个连续的3.4 mm气泡的流场之间没有相互作用。 (c)2006 Elsevier Ltd.保留所有权利。

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