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Some numerical studies were carried out on micrometer-sized rising bubble bouncing near a rigid boundary. Taking surface tension into consideration, the bubble motion could be solved using the potential flow theory. A correction should be made in Bernoulli equation because the pressure gradient was caused by the viscosity between the bubble and the wall. The numerical result agree well with the experimental data. Based on the fundamental phenomenon, we have studied the influence of characteristic parameter on bubble bouncing behavior, and the balanced shape due to the action of the wall. With the increase of the rising distance of the bubble, the distance of the bubble bouncing downward and the period of bouncing would increase. However, they would not change obviously when the rising distance is large enough. Surface tension has great effect on the dynamic behavior of the bubble. The bouncing period decreases when surface tension becomes large, but the bouncing distance will have an increase before it gradually decreases. Finally, the balanced shape of the bubble due to the wall effect can be mainly controlled by buoyance parameter and the Weber number.
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Keywords:
- bubble /
- wall /
- bouncing /
- boundary integral method
[1] Duineveld P C 1998 Appl. Sci. Res. 58 409
[2] Zhang A M, Ni B Y, Song B Y 2010 Appl. Math. and Mech. 31 449
[3] Tsao H K, Koch D 1997 Phys. Fluids 9 44
[4] Malysa K, Krasowska M, Krzan M 2005 Adv. Colloid. Interface. Sci. 114-115 205
[5] Toshiyuki S, Masao W, Tohru F 2005 Chem. Eng. Sci. 60 5372
[6] Wang H, Zhang Z Y, Yang Y M 2008 Chin. Phys. B 17 3847
[7] Wang H, Zhang Z Y, Yang Y M 2010 Chin. Phys. B 19 026801
[8] Klaseboer E, Manic R, Khoo B C, Chan D Y C 2011 Eng. Anal. Bound. Elem. 35 489
[9] Shopov P J, Minev P D, Bazhlekov I B, Zapryanov Z D 1990 J. Fluid Mech. 219 241
[10] Canot E, Davoust L, Hammoumi M E, Lachkar D 2003 Theoret. Comput. Fluid Dynamics 17 51
[11] Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 1662(in Chinese)[张阿漫, 姚熊亮 2008 物理学报 57 1662]
[12] Liu Y L, Wang Y, Zhang A M 2013 Acta Phys. Sin. 62 214703 (in Chinese) [刘云龙, 汪玉, 张阿漫2013物理学报 62 214703]
[13] Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[14] Wang Q X, Teo K S, Khoo B C 1996 Theoret. Comput. Fluid Dynamics 8 73
[15] Best J P 1993 J. Fluid Mech. 251 79
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[1] Duineveld P C 1998 Appl. Sci. Res. 58 409
[2] Zhang A M, Ni B Y, Song B Y 2010 Appl. Math. and Mech. 31 449
[3] Tsao H K, Koch D 1997 Phys. Fluids 9 44
[4] Malysa K, Krasowska M, Krzan M 2005 Adv. Colloid. Interface. Sci. 114-115 205
[5] Toshiyuki S, Masao W, Tohru F 2005 Chem. Eng. Sci. 60 5372
[6] Wang H, Zhang Z Y, Yang Y M 2008 Chin. Phys. B 17 3847
[7] Wang H, Zhang Z Y, Yang Y M 2010 Chin. Phys. B 19 026801
[8] Klaseboer E, Manic R, Khoo B C, Chan D Y C 2011 Eng. Anal. Bound. Elem. 35 489
[9] Shopov P J, Minev P D, Bazhlekov I B, Zapryanov Z D 1990 J. Fluid Mech. 219 241
[10] Canot E, Davoust L, Hammoumi M E, Lachkar D 2003 Theoret. Comput. Fluid Dynamics 17 51
[11] Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 1662(in Chinese)[张阿漫, 姚熊亮 2008 物理学报 57 1662]
[12] Liu Y L, Wang Y, Zhang A M 2013 Acta Phys. Sin. 62 214703 (in Chinese) [刘云龙, 汪玉, 张阿漫2013物理学报 62 214703]
[13] Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[14] Wang Q X, Teo K S, Khoo B C 1996 Theoret. Comput. Fluid Dynamics 8 73
[15] Best J P 1993 J. Fluid Mech. 251 79
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