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Dynamics of an oil-coated bubble rising in a quiescent water medium

Bingqiang Ji1,*, Liu Hong1,*, Jin-Tae Kim1, Leonardo P. Chamorro1,2,3,4, and Jie Feng1,5,†

  • 1Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 2Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 3Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 4Geology, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 5Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA

  • *These authors contributed equally to this work.
  • †Corresponding author: jiefeng@illinois.edu
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Phys. Rev. Fluids 7, 033603 – Published 14 March, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.033603

Abstract

We experimentally investigated the rising dynamics of oil-coated compound bubbles at various oil fractions in a quiescent water medium. Three-dimensional particle tracking velocimetry was used to characterize the trajectories of the bubbles, and particle image velocimetry was used for complementary flow characterization. Results show that the oil-coated bubbles undergo a zigzagging path with a steady oscillation pattern at comparatively low oil fractions. In contrast, damped oscillations occur at high oil fractions, which do not happen in clean gas bubbles. The oil coating changes the rising dynamics of the bubble mainly by adjusting the bubble surface boundary condition and effective density. A lightly coated bubble experiences a smaller shape deformation, similar drag coefficient, a larger frequency, and smaller amplitude in the path oscillation compared to a clean gas bubble. In addition, the increase of oil fraction results in reduced shape deformation and drag coefficient with a lower frequency and amplitude of the path oscillation. Estimation of the forces using a Frenet reference frame shows that the wake-induced lift and drag decreased with oil fraction, and became negligible for bubbles with damped oscillations. Overall, our work contributes to the fundamental understanding of the rising dynamics of oil-coated bubbles with various oil fractions and viscosities.

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References (74)

  1. R. E. Johnson and S. S. Sadhal, Fluid mechanics of compound multiphase drops and bubbles, Annu. Rev. Fluid Mech. 17, 289 (1985).
  2. S. S. Sadhal, P. S. Ayyaswamy, and J. N. Chung, Transport Phenomena with Drops and Bubbles (Springer Science & Business Media, New York, 2012).
  3. C. Johansen, A. C. Todd, and I. R. MacDonald, Time series video analysis of bubble release processes at natural hydrocarbon seeps in the northern gulf of mexico, Marine Petroleum Geology 82, 21 (2017).
  4. F. Zhou, L. Wang, Z. Xu, Q. Liu, M. Deng, and R. Chi, Application of reactive oily bubbles to bastnaesite flotation, Miner. Eng. 64, 139 (2014).
  5. L. Su, Z. Xu, and J. Masliyah, Role of oily bubbles in enhancing bitumen flotation, Miner. Eng. 19, 641 (2006).
  6. T. S. Emery, P. A. Raghupathi, and S. G. Kandlikar, Bubble growth inside an evaporating liquid droplet introduced in an immiscible superheated liquid, Int. J. Heat Mass Transf. 127, 313 (2018).
  7. A. A. Kulkarni and V. V. Ranade, Direct contact heat transfer via injecting volatile liquid in a hot liquid pool: Generation and motion of bubbles, Chem. Eng. Sci. 100, 421 (2013).
  8. G. R. Moore, Vaporization of superheated drops in liquids, AIChE J. 5, 458 (1959).
  9. C. W. Visser, D. N. Amato, J. Mueller, and J. A. Lewis, Architected polymer foams via direct bubble writing, Adv. Mater. 31, 1904668 (2019).
  10. Y. H. Mori, Configurations of gas-liquid two-phase bubbles in immiscible liquid media, Int. J. Multiphase Flow 4, 383 (1978).
  11. D. C. Blanchard and L. Syzdek, Mechanism for the water-to-air transfer and concentration of bacteria, Science 170, 626 (1970).
  12. D. C. Blanchard, The ejection of drops from the sea and their enrichment with bacteria and other materials: A review, Estuaries 12, 127 (1989).
  13. P. L. L. Walls and J. C. Bird, Enriching particles on a bubble through drainage: Measuring and modeling the concentration of microbial particles in a bubble film at rupture, Elementa-Sci. Anthrop. 5, 34 (2017).
  14. S. H. Behrens, Oil-coated bubbles in particle suspensions, capillary foams, and related opportunities in colloidal multiphase systems, Curr. Opin. Colloid Interface Sci. 50, 101384 (2020).
  15. B. Ji, Z. Yang, and J. Feng, Compound jetting from bubble bursting at an air-oil-water interface, Nat. Commun. 12, 6305 (2021).
  16. G. Mougin and J. Magnaudet, Path Instability of a Rising Bubble, Phys. Rev. Lett. 88, 014502 (2001).
  17. P. C. Duineveld, The rise velocity and shape of bubbles in pure water at high reynolds number, J. Fluid Mech. 292, 325 (1995).
  18. J. C. Cano-Lozano, C. Martinez-Bazan, J. Magnaudet, and J. Tchoufag, Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability, Phys. Rev. Fluids 1, 053604 (2016).
  19. C. Veldhuis, A. Biesheuvel, and L. Van Wijngaarden, Shape oscillations on bubbles rising in clean and in tap water, Phys. Fluids 20, 040705 (2008).
  20. Y. Tagawa, S. Takagi, and Y. Matsumoto, Surfactant effect on path instability of a rising bubble, J. Fluid Mech. 738, 124 (2014).
  21. S. Takagi and Y. Matsumoto, Surfactant effects on bubble motion and bubbly flows, Annu. Rev. Fluid Mech. 43, 615 (2011).
  22. W. L. Shew, S. Poncet, and J.-F. Pinton, Force measurements on rising bubbles, J. Fluid Mech. 569, 51 (2006).
  23. G. Mougin and J. Magnaudet, Wake-induced forces and torques on a zigzagging/spiralling bubble, J. Fluid Mech. 567, 185 (2006).
  24. E. Loth, Quasi-steady shape and drag of deformable bubbles and drops, Int. J. Multiphase Flow 34, 523 (2008).
  25. Y. Zhou, C. Zhao, and H. Bo, Analyses and modified models for bubble shape and drag coefficient covering a wide range of working conditions, Int. J. Multiphase Flow 127, 103265 (2020).
  26. W. L. Shew and J.-F. Pinton, Dynamical Model of Bubble Path Instability, Phys. Rev. Lett. 97, 144508 (2006).
  27. Y. Zhou, C. Zhao, B. Ji, and H. Bo, Numerical simulation of bubbly flow using partially averaged navier-stokes simulation and a path oscillation model in the euler-lagrange approach, Ind. Eng. Chem. Res. 60, 4120 (2021).
  28. S. R. Adoua, D. Legendre, and J. Magnaudet, Reversal of the lift force on an oblate bubble in a weakly viscous linear shear flow, J. Fluid Mech. 628, 23 (2009).
  29. V. Mathai, S. G. Huisman, C. Sun, D. Lohse, and M. Bourgoin, Dispersion of Air Bubbles in Isotropic Turbulence, Phys. Rev. Lett. 121, 054501 (2018).
  30. V. Mathai, D. Lohse, and C. Sun, Bubbly and buoyant particle–laden turbulent flows, Annu. Rev. Condens. Matter Phys. 11, 529 (2020).
  31. S. S. Sadhal and R. E. Johnson, Stokes flow past bubbles and drops partially coated with thin films. part 1. stagnant cap of surfactant film–exact solution, J. Fluid Mech. 126, 237 (1983).
  32. R. E. Johnson and S. S. Sadhal, Stokes flow past bubbles and drops partially coated with thin films. part 2. thin films with internal circulation–a perturbation solution, J. Fluid Mech. 132, 295 (1983).
  33. S. S. Sadhal and H. N. Oguz, Stokes flow past compound multiphase drops: The case of completely engulfed drops/bubbles, J. Fluid Mech. 160, 511 (1985).
  34. S. Kawano and H. Hashimoto, Drag coefficient of a spherical encapsulated liquid drop, JSME Int. J., Ser. 2 35, 151 (1992).
  35. S. Kawano, H. Hashimoto, and T. Suyama, Buoyancy-driven accelerated motion of an encapsulated liquid drop, JSME Int. J., Ser. B 37, 30 (1994).
  36. B. A. Abdul-Majeed and H. B. Eliwy, Dynamics of a single condensing two-phase bubble, Iraqi J. Chem. Petrol Eng. 8, 7 (2007).
  37. H. B. Mahood, A. N. Campbell, R. B. Thorpe, and A. O. Sharif, A new model for the drag coefficient of a swarm of condensing vapour–liquid bubbles in a third immiscible liquid phase, Chem. Eng. Sci. 131, 76 (2015).
  38. S. Wang, Y. Zhang, J. C. Meredith, S. H. Behrens, M. K. Tripathi, and K. C. Sahu, The dynamics of rising oil-coated bubbles: Experiments and simulations, Soft Matter 14, 2724 (2018).
  39. J. R. Karp, E. Mancilla, F. S. da Silva, D. Legendre, R. Zenit, and R. E. M. Morales, The dynamics of compound drops at high reynolds numbers: Drag, shape, and trajectory, Int. J. Multiphase Flow 142, 103699 (2021).
  40. H. Kong, H. C. Akakin, and S. E. Sarma, A generalized laplacian of gaussian filter for blob detection and its applications, IEEE T Cybernetics 43, 1719 (2013).
  41. J. C. Crocker and D. G. Grier, Methods of digital video microscopy for colloidal studies, J. Coll. Interface Sci. 179, 298 (1996).
  42. P. Craven and G. Wahba, Smoothing noisy data with spline functions, Numer. Math. 31, 377 (1978).
  43. J.-T. Kim, S. Shen, S. L. DiMarco, Y. Jin, and L. P. Chamorro, Lagrangian acceleration in Rayleigh-Bénard convection at various aspect ratios, Phys. Rev. Fluids 3, 113502 (2018).
  44. B. Ji, Z. Yang, and J. Feng, Oil-coated bubble formation from submerged coaxial orifices, Phys. Rev. Fluids 6, 033602 (2021).
  45. B. Ji, A. Singh, and J. Feng, Oil column pinch-off controls the oil fraction of the oil-coated bubble, Phys. Fluids 33, 103316 (2021).
  46. S. Aoyama, K. Hayashi, S. Hosokawa, and A. Tomiyama, Shapes of ellipsoidal bubbles in infinite stagnant liquids, Int. J. Multiphase Flow 79, 23 (2016).
  47. S. Kawano and H. Hashimoto, A numerical study on motion of a sphere coated with a thin liquid film at intermediate reynolds numbers, J. Fluids Eng. 119, 397 (1997).
  48. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops, and Particles (Courier, Mineola, New York, 2005).
  49. M. Ringnér, What is principal component analysis? Nat. Biotechnol. 26, 303 (2008).
  50. J. C. Cano-Lozano, P. Bohorquez, and C. Martínez-Bazán, Wake instability of a fixed axisymmetric bubble of realistic shape, Int. J. Multiphase Flow 51, 11 (2013).
  51. M. K. Tripathi, K. C. Sahu, and R. Govindarajan, Dynamics of an initially spherical bubble rising in quiescent liquid, Nat. Commun. 6, 6268 (2015).
  52. J. B. Will, V. Mathai, S. G. Huisman, D. Lohse, C. Sun, and D. Krug, Kinematics and dynamics of freely rising spheroids at high reynolds numbers, J. Fluid Mech. 912, A16 (2021).
  53. D. W. Moore, The velocity of rise of distorted gas bubbles in a liquid of small viscosity, J. Fluid Mech. 23, 749 (1965).
  54. B. Ji, Q. Song, and Q. Yao, Impact of hydrophobic micron ellipsoids on liquid surfaces, J. Colloid Interface Sci. 532, 711 (2018).
  55. E. Loth, Drag of non-spherical solid particles of regular and irregular shape, Powder Technol. 182, 342 (2008).
  56. P. Wang, J. J. Cilliers, S. J. Neethling, and P. R. Brito-Parada, Effect of particle size on the rising behavior of particle-laden bubbles, Langmuir 35, 3680 (2019).
  57. Y. Wang, D. T. Papageorgiou, and C. Maldarelli, Using surfactants to control the formation and size of wakes behind moving bubbles at order-one reynolds numbers, J. Fluid Mech. 453, 1 (2002).
  58. L. Sirovich, Turbulence and the dynamics of coherent structures. i. coherent structures, Q. Appl. Math. 45, 561 (1987).
  59. K. Taira, S. L. Brunton, S. T. M. Dawson, C. W. Rowley, T. Colonius, B. J. McKeon, O. T. Schmidt, S. Gordeyev, V. Theofilis, and L. S. Ukeiley, Modal analysis of fluid flows: An overview, AIAA J. 55, 4013 (2017).
  60. I. Khabbouchi, H. Fellouah, M. Ferchichi, and M. S. Guellouz, Effects of free-stream turbulence and reynolds number on the separated shear layer from a circular cylinder, J. Wind Eng. Indust. Aerodyn. 135, 46 (2014).
  61. J. Zhou, R. J. Adrian, S. Balachandar, and T. M. Kendall, Mechanisms for generating coherent packets of hairpin vortices in channel flow, J. Fluid Mech. 387, 353 (1999).
  62. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
  63. H. Lamb, Hydrodynamics, 6th ed. (Dover, New York, 1945).
  64. C. H. J. Veldhuis, A. Biesheuvel, and D. Lohse, Freely rising light solid spheres, Int. J. Multiphase Flow 35, 312 (2009).
  65. J. C. Wu, Theory for aerodynamic force and moment in viscous flows, AIAA J. 19, 432 (1981).
  66. L. Quartapelle and M. Napolitano, Force and moment in incompressible flows, AIAA J. 21, 911 (1983).
  67. M. S. Howe, On the force and moment on a body in an incompressible fluid, with application to rigid bodies and bubbles at high and low reynolds numbers, Q. J. Mech. Appl. Math. 48, 401 (1995).
  68. M. Tanaka, K. Tajiri, H. Nishida, and M. Yamakawa, Effect of eccentric mass distribution on the motion of spherical particles in shear flows, J. Fluids Eng. 142, 031105 (2020).
  69. V. Mathai, X. Zhu, C. Sun, and D. Lohse, Flutter to tumble transition of buoyant spheres triggered by rotational inertia changes, Nat. Commun. 9, 1792 (2018).
  70. J. W. Kantelhardt, E. Koscielny-Bunde, H. H. A. Rego, S. Havlin, and A. Bunde, Detecting long-range correlations with detrended fluctuation analysis, Physica A 295, 441 (2001).
  71. D. J. Pascoe, C. R. Goddard, G. Nisticò, S. Anfinogentov, and V. M. Nakariakov, Coronal loop seismology using damping of standing kink oscillations by mode coupling, Astron. Astrophys. 589, A136 (2016).
  72. V. Mathai, X. Zhu, C. Sun, and D. Lohse, Mass and Moment of Inertia Govern the Transition in the Dynamics and Wakes of Freely Rising and Falling Cylinders, Phys. Rev. Lett. 119, 054501 (2017).
  73. R. N. Govardhan and C. H. K. Williamson, Vortex-induced vibrations of a sphere, J. Fluid Mech. 531, 11 (1999).
  74. M. Horowitz and C. H. K. Williamson, Critical mass and a new periodic four-ring vortex wake mode for freely rising and falling spheres, Phys. Fluids 20, 101701 (2008).

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Phys. Rev. Fluids 7, 033603– Published 14 March, 2022
  • Received 3 October 2021
  • Accepted 24 February 2022
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