Dynamics of an initially spherical bubble rising in quiescent liquid

Nature Communications

Volumn 6, Issue , 2015, Pages

  Tripathi, Manoj Kumar ^a   Sahu, Kirti Chandra ^a   Govindarajan, Rama ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY HYDERABAD   (India)

^b TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION; PREDICTION;

ACCELERATION; ARTICLE; BEHAVIOR; DYNAMICS; GRAVITY; LIQUID; OSCILLATION; PHYSICAL PHENOMENA; PREDICTION; SIMULATION; SPHERICAL BUBBLE; SURFACE TENSION; VELOCITY; VISCOSITY;

EID: 84923347129     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms7268     Document Type: Article

References (49)

1. Blanchard, D. C. The electrification of the atmosphere by particles from bubbles in the sea. Prog. Oceanogr. 1, 73-202 (1963).
2. Gal-Or, B., Klinzing, G. E. & Tavlarides, L. L. Bubble and drop phenomena. J. Ind. Eng. Chem. 61, 21-34 (1969).
3. Tripathi, M. K., Sahu, K. C. & Govindarajan, R. Why a falling drop does not in general behave like a rising bubble. Sci. Rep. 4, 4771 (2014).
4. Antal, S., Lahey, Jr R. & Flaherty, J. Analysis of phase distribution in fully developed laminar bubbly two-phase flow. Int. J. Multiphase Flow 17, 635-652 (1991).
5. Bunner, B. & Tryggvason, G. Direct numerical simulations of threedimensional bubbly flows. Phys. Fluids 11, 1967-1969 (1999).
6. Lu, J. & Tryggvason, G. Effect of bubble deformability in turbulent bubbly upflow in a vertical channel. Phys. Fluids 20, 040701 (2008).
7. Sussman, M. & Puckett, E. G. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162, 301-337 (2000).
8. Shin, S. & Juric, D. Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity. J. Comput. Phys. 180, 427-470 (2002).
9. Hua, J., Stene, J. F. & Lin, P. Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method. J. Comput. Phys. 227, 3358-3382 (2008).
10. Dijkhuizen, W., van Sint Annaland, M. & Kuipers, J. Numerical and experimental investigation of the lift force on single bubbles. Chem. Engg. Sci. 65, 1274-1287 (2010).
11. Pivello, M., Villar, M., Serfaty, R., Roma, A. & Silveira-Neto, A. A fully adaptive front tracking method for the simulation of two phase flows. Int. J. Multiphase Flow 58, 72-82 (2014).
12. Baltussen, M., Kuipers, J. & Deen, N. A critical comparison of surface tension models for the volume of fluid method. Chem. Engg. Sci. 109, 65-74 (2014).
13. Bonometti, T., Magnaudet, J. & Gardin, P. On the dispersion of solid particles in a liquid agitated by a bubble swarm. Metall Mater Trans B 38, 739-750 (2007).
14. Roghair, I. et al. On the drag force of bubbles in bubble swarms at intermediate and high reynolds numbers. Chem. Engg. Sci. 66, 3204-3211 (2011).
15. Roghair, I., Sint Annaland, M. & Kuipers, H. J. Drag force and clustering in bubble swarms. AIChE J. 59, 1791-1800 (2013).
16. Dijkhuizen, W., Roghair, I., Annaland, M. & Kuipers, J. Dns of gas bubbles behaviour using an improved 3d front tracking model model development. Chem. Engg. Sci. 65, 1427-1437 (2010).
17. Bonometti, T. & Magnaudet, J. An interface-capturing method for incompressible two-phase flows. validation and application to bubble dynamics. Int. J. Multiphase Flow 33, 109-133 (2007).
18. Haberman, W. L. & Morton, R. K. An experimental investigation of the drag and shape of air bubbles rising in various liquids. Tech. Rep. No. DTMB 802, Publisher: David taylor model basin Washington DC (1953)
19. Tagawa, Y., Takagi, S. & Matsumoto, Y. Surfactant effect on path instability of a rising bubble. J. Fluid Mech. 738, 124-142 (2014).
20. Clift, R., Grace, J. & Weber, M. Bubbles, Drops and Particles (Academic Press, 1978).
21. Bhaga, D. & Weber, M. E. Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid Mech. 105, 61-85 (1981).
22. Hartunian, R. A. & Sears, W. On the instability of small gas bubbles moving uniformly in various liquids. J. Fluid Mech. 3, 27-47 (1957).
23. Lunde, K. & Perkins, R. J. in In Fascination of Fluid Dynamics 387-408 (Springer, 1998).
24. Tomiyama, A., Celata, G., Hosokawa, S. & Yoshida, S. Terminal velocity of single bubbles in surface tension force dominant regime. Int. J. Multiphase Flow 28, 1497-1519 (2002).
25. Veldhuis, C., Biesheuvel, A. & van Wijngaarden, L. Shape oscillations on bubbles rising in clean and in tap water. Phys. Fluids 20, 040705 (2008).
26. Magnaudet, J. & Mougin, G. Wake instability of a fixed spheroidal bubble. J. Fluid Mech. 572, 311-337 (2007).
27. Cano-Lozano, J., Bohorquez, P. & Mart0inez-Bazán, C. Wake instability of a fixed axisymmetric bubble of realistic shape. Int. J. Multiphase Flow 51, 11-21 (2013).
28. Shew, W. L. & Pinton, J. Dynamical model of bubble path instability. Phys. Rev. Lett. 97, 144508 (2006).
29. Wichterle, K., Večeř, M. & Ružička, M. C. Asymmetric deformation of bubble shape: cause or effect of vortex-shedding? Chem. Papers 68, 74-79 (2014).
30. Gaudlitz, D. & Adams, N. A. Numerical investigation of rising bubble wake and shape variations. Phys. Fluids 21, 122102 (2009).
31. Taylor, T. & Acrivos, A. On the deformation and drag of a falling viscous drop at low reynolds number. J. Fluid Mech. 18, 466-476 (1964).
32. Ansari, M. & Nimvari, M. Bubble viscosity effect on internal circulation within the bubble rising due to buoyancy using the level set method. Ann. Nucl. Energy 38, 2770-2778 (2011).
33. Ryskin, G. & Leal, L. Numerical solution of free-boundary problems in fluid mechanics. Part 2. buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 148, 19-35 (1984).
34. Grace, J. R., Wairegi, T. & Nguyen, T. H. Shapes and velocities of single drops and bubbles moving freely through immiscible liquids. Trans. Inst. Chem. Eng. 54, 167-173 (1976).
35. De Vries, A., Biesheuvel, A. & Van Wijngaarden, L. Notes on the path and wake of a gas bubble rising in pure water. Int. J. Multiphase Flow 28, 1823-1835 (2002).
36. Pedley, T. The toroidal bubble. J. Fluid Mech. 32, 97-112 (1968).
37. Bonometti, T. & Magnaudet, J. Transition from spherical cap to toroidal bubbles. Phys. Fluids 18, 052102 (2006).
38. Grace, J., Wairegi, T. & Brophy, J. Break-up of drops and bubbles in stagnant media. Can. J. Chem. Eng. 56, 3-8 (1978).
39. Landel, J. R., Cossu, C. & Caulfield, C. P. Spherical cap bubbles with a toroidal bubbly wake. Phys. Fluids 20, 122201 (2008).
40. Wegener, P. P. & Parlange, J.-Y. Spherical-cap bubbles. Ann. Rev. Fluid Mech. 5, 79-100 (1973).
41. Batchelor, G. The stability of a large gas bubble rising through liquid. J. Fluid Mech. 184, 399-422 (1987).
42. Ohta, M., Imura, T., Yoshida, Y. & Sussman, M. A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids. Int. J. Multiphase Flow 31, 223-237 (2005).
43. Popinet, S. Gerris a tree-based adaptive solver for the incompressible euler equations in complex geometries. J. Comput. Phys. 190, 572-600 (2003).
44. Francois, M. M. et al. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. J. Comput. Phys. 213, 141-173 (2006).
45. Popinet, S. An accurate adaptive solver for surface-tension-driven interfacial flows. J. Comput. Phys. 228, 5838-5866 (2009).
46. Herrmann, M. A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids. J. Comput. Phys. 227, 2674-2706 (2008).
47. Sussman, M., Smith, K. M., Hussaini, M. Y., Ohta, M. & Zhi-Wei, R. A sharp interface method for incompressible two-phase flows. J. Comput. Phys. 221, 469-505 (2007).
48. Shin, S., Abdel-Khalik, S., Daru, V. & Juric, D. Accurate representation of surface tension using the level contour reconstruction method. J. Comput. Phys. 203, 493-516 (2005).
49. Fuster, D., Agbaglah, G., Josserand, C., Popinet, S. & Zaleski, S. Numerical simulation of droplets, bubbles and waves: state of the art. Fluid Dyn. Res. 41, 065001 (2009).