Analysis and Prediction of Equivalent Diameter of Air Bubbles Rising in Water

Authors

  • Gabriel de Carvalho Nascimento Agricultural and Environmental Engineering Department, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil
  • Roger Matsumoto Moreira Technical Drawing Department, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil
  • Felipe Pereira de Moura Institute of Chemistry, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil
  • William Alves Tavares Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil
  • Thiago Ferreira Bernardes Bento Mechanical Engineering Department, Federal Center for Technological Education, 20271-110 Rio de Janeiro, Rio de Janeiro, Brazil
  • Lorena Brandão Calazan Civil Engineering, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil
  • Milena Silva Andrade Civil Engineering, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil
  • Beatriz Freitas Rezende Civil Engineering, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

DOI:

https://doi.org/10.37934/cfdl.16.8.3347

Keywords:

Air bubbles, equivalent diameter, orifice inner diameter, flow rate, subsea leakage

Abstract

The equivalent diameter of rising bubbles in liquids is an important parameter that has been investigated for decades by researchers for different purposes. Bubble diameter plays important role in quantifying oil and gas leaks in subsea leak analysis, since it allows the prediction of the magnitude of leaks in seabed petroleum wells and other structures through images obtained by underwater vehicles at great depths. Most studies available in the literature on the subject focus on investigating air bubbles in water; therefore, they were used as the main guide of the experimental apparatus described in this article. Several tests were conducted with air bubble chain in tap water, whose flow rate ranged from 21.1 mL/min to 234.4 mL/min, whereas the bubble equivalent diameter ranged from 4.1 mm to 8.2 mm. In addition, computational fluid dynamics simulations were carried out for comparison purposes; they were validated as potential tools to help designing an automated subsea gas leakage monitoring system based on image analysis algorithms. The herein proposed model could be both analytically and experimentally validated, based on comparisons to findings reported by other authors. This procedure enabled gathering evidence about the most efficient analytical predictions available in the literature for the herein addressed scenario. The results in the present study are consistent to those recorded in the main related articles.

Author Biographies

Gabriel de Carvalho Nascimento, Agricultural and Environmental Engineering Department, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

gabrielcn@id.uff.br

Roger Matsumoto Moreira, Technical Drawing Department, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

rmmoreira@id.uff.br

Felipe Pereira de Moura, Institute of Chemistry, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

felipemoura@id.uff.br

William Alves Tavares, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

wiiliamtavares@id.uff.br

Thiago Ferreira Bernardes Bento, Mechanical Engineering Department, Federal Center for Technological Education, 20271-110 Rio de Janeiro, Rio de Janeiro, Brazil

tbento@id.uff.br

Lorena Brandão Calazan, Civil Engineering, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

lorenabrandao@id.uff.br

Milena Silva Andrade, Civil Engineering, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

milena_andrade@id.uff.br

Beatriz Freitas Rezende, Civil Engineering, Engineering School, Federal Fluminense University, 24210-240 Niterói, Rio de Janeiro, Brazil

beatrizrezende@id.uff.br

References

Chen, P., M. P. Duduković, and J. Sanyal. "Three‐dimensional simulation of bubble column flows with bubble coalescence and breakup." AIChE journal 51, no. 3 (2005): 696-712. https://doi.org/10.1002/aic.10381

Moys, M. H., J. Yianatos, and J. Larenas. "Measurement of particle loading on bubbles in the flotation process." Minerals Engineering 23, no. 2 (2010): 131-136. https://doi.org/10.1016/j.mineng.2009.11.004

Yang, Zongbo, Jun Cheng, Richen Lin, Junhu Zhou, and Kefa Cen. "Improving microalgal growth with reduced diameters of aeration bubbles and enhanced mass transfer of solution in an oscillating flow field." Bioresource Technology 211 (2016): 429-434. https://doi.org/10.1016/j.biortech.2016.03.127

Behr, Arno, Marc Becker, and Johannes Dostal. "Bubble-size distributions and interfacial areas in a jetloop reactor for multiphase catalysis." Chemical engineering science 64, no. 12 (2009): 2934-2940. https://doi.org/10.1016/j.ces.2009.03.031

Huang, Jie and Saito, Takayuki. “Influences of gas–liquid interface contamination on bubble motions, bubble wakes, and instantaneous mass transfer”, Chemical Engineering Science 157 (2017: 182-199. https://doi.org/10.1016/j.ces.2016.05.013

Torregrosa, A. J., A. Broatch, P. Olmeda, and O. Cornejo. "A note on bubble sizes in subcooled flow boiling at low velocities in internal combustion engine-like conditions." Journal of Applied Fluid Mechanics 9, no. 5 (2016): 2321-2332. https://dx.doi.org/10.18869/acadpub.jafm.68.236.23211

Krishna, R., and J. M. Van Baten. "Mass transfer in bubble columns." Catalysis today 79 (2003): 67-75. https://doi.org/10.1016/S0920-5861(03)00046-4

Gupta, Puneet, Booncheng Ong, Muthanna H. Al-Dahhan, Milorad P. Dudukovic, and Bernard A. Toseland. "Hydrodynamics of churn turbulent bubble columns: gas–liquid recirculation and mechanistic modeling." Catalysis today 64, no. 3-4 (2001): 253-269. https://doi.org/10.1016/S0920-5861(00)00529-0

Tate, Thomas. "XXX. On the magnitude of a drop of liquid formed under different circumstances." The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 27, no. 181 (1864): 176-180. https://doi.org/10.1080/14786446408643645

Shi, S. D. "Basic engineering of coal hydroliquefaction." (2012).

VanKrevelen, D. W., and P. J. Hoftijzer. "Studies of gas-bubble formation-Calculation of interfacial area in bubble contactors." Chemical Engineering Progress 46, no. 1 (1950): 29-35.

Davidson, J. F. "Bubble formation at an orifice in a viscous liquid." Transactions of the Institution of Chemical Engineers 38 (1960): 144-154.

Davidson, J. F., D. Harrison, and R. Jackson. "Fluidized particles. Cambridge University Press, 1963. 155 pp. 35s." Chemical Engineering Science 19, no. 9 (1964): 701-701.

Kumar, R., and N. K. Kuloor. "The formation of bubbles and drops." In Advances in chemical engineering, vol. 8, pp. 255-368. Academic Press, 1970. https://doi.org/10.1016/S0065-2377(08)60186-6

Akita, Kiyomi, and Fumitake Yoshida. "Bubble size, interfacial area, and liquid-phase mass transfer coefficient in bubble columns." Industrial & Engineering Chemistry Process Design and Development 13, no. 1 (1974): 84-91.

Gaddis, E. S., and A. J. C. E. S. Vogelpohl. "Bubble formation in quiescent liquids under constant flow conditions." Chemical Engineering Science 41, no. 1 (1986): 97-105. https://doi.org/10.1016/0009-2509(86)85202-2

Jamialahmadi, M., M. R. Zehtaban, H. Müller-Steinhagen, A. Sarrafi, and J. M. Smith. "Study of bubble formation under constant flow conditions." Chemical Engineering Research and Design 79, no. 5 (2001): 523-532. https://doi.org/10.1205/02638760152424299

Xiao, Hang, Shujun Geng, Aqiang Chen, Chao Yang, Fei Gao, Taobo He, and Qingshan Huang. "Bubble formation in continuous liquid phase under industrial jetting conditions." Chemical Engineering Science 200 (2019): 214-224. https://doi.org/10.1016/j.ces.2019.02.009

Haberman, William L., and R. K. Morton. An experimental investigation of the drag and shape of air bubbles rising in various liquids. Washington, DC: David W. Taylor Model Basin, 1953.

Marks, C. H. "Measurements of the terminal velocity of bubbles rising in a chain." (1973): 17-22. https://doi.org/10.1115/1.3446951

Wu, Mingming, and Morteza Gharib. "Experimental studies on the shape and path of small air bubbles rising in clean water." Physics of fluids 14, no. 7 (2002): L49-L52. https://doi.org/10.1063/1.1485767

Tomiyama, A., G. P. Celata, S. Hosokawa, and S. Yoshida. "Terminal velocity of single bubbles in surface tension force dominant regime." International journal of multiphase flow 28, no. 9 (2002): 1497-1519. https://doi.org/10.1016/S0301-9322(02)00032-0

Shew, Woodrow L., Sebastien Poncet, and Jean-François Pinton. "Force measurements on rising bubbles." Journal of Fluid Mechanics 569 (2006): 51-60. https://doi.org/10.1017/S0022112006002928

Melo, Fabiana Regina Grandeaux de. "Fluidodinâmica de esferas leves e bolhas em líquidos." (2007).

Liu, Liu, Hongjie Yan, and Guojian Zhao. "Experimental studies on the shape and motion of air bubbles in viscous liquids." Experimental Thermal and Fluid Science 62 (2015): 109-121. https://doi.org/10.1016/j.expthermflusci.2014.11.018

Sharaf, D. M., A. R. Premlata, Manoj Kumar Tripathi, Badarinath Karri, and Kirti Chandra Sahu. "Shapes and paths of an air bubble rising in quiescent liquids." Physics of Fluids 29, no. 12 (2017). https://doi.org/10.1063/1.5006726

Wang, Binbin, and Scott A. Socolofsky. "On the bubble rise velocity of a continually released bubble chain in still water and with crossflow." Physics of Fluids 27, no. 10 (2015). https://doi.org/10.1063/1.4932176

Raymond, F., and J-M. Rosant. "A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids." Chemical Engineering Science 55, no. 5 (2000): 943-955. https://doi.org/10.1016/S0009-2509(99)00385-1

Clift, R., J.R. Grace, and M.E. Weber. Bubbles, Drops and Particles, Academic Press, 1978.

Caldas, Gustavo L. R., Thiago F. B. Bento, Roger M. Moreira, and Maurício B. de Souza Jr. (2021). “Detection of subsea gas leakages via computational fluid dynamics and convolutional neural networks”, International Congress of Mechanical Engineering.

Launder, B.E. and Spalding, D.B. (1974). “The numerical computation of turbulent flows”, Computer Methods in Applied Mechanics and Engineering 3, no. 2 (1974): 269-289.

Hirt, C.W. and Nichos, B.D. “Volume of fluid (VOF) method for the dynamics of free boundaries”, Journal of Computational Physics 39, no. 1 (1981): 201-225. https://doi.org/10.1016/0021-9991(81)90145-5

Brackbill, Jeremiah U., Douglas B. Kothe, and Charles Zemach. "A continuum method for modeling surface tension." Journal of computational physics 100, no. 2 (1992): 335-354. https://doi.org/10.1016/0021-9991(92)90240-Y

Youngs, David L. "Time-dependent multi-material flow with large fluid distortion." Numerical methods for fluid dynamics (1982).

Dietrich, Nicolas, Nadia Mayoufi, Souhil Poncin, and Huai-Zhi Li. "Experimental investigation of bubble and drop formation at submerged orifices." Chemical Papers 67 (2013): 313-325. https://doi.org/10.2478/s11696-012-0277-5

Downloads

Published

2024-03-31

How to Cite

de Carvalho Nascimento, G., Matsumoto Moreira, R., Pereira de Moura, F., Alves Tavares, W., Ferreira Bernardes Bento, T., Brandão Calazan, L., Silva Andrade, M., & Freitas Rezende, B. (2024). Analysis and Prediction of Equivalent Diameter of Air Bubbles Rising in Water. CFD Letters, 16(8), 33–47. https://doi.org/10.37934/cfdl.16.8.3347

Issue

Section

Articles