Breakup time and morphology of drops and bubbles in a high-Reynolds-number flow

Journal of Fluid Mechanics

Volumn 548, Issue , 2006, Pages 69-86

  Rodriguez Rodriguez J ^a   Gordillo, J M ^b   Martinez Bazan N C ^c  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b UNIVERSITY OF SEVILLE   (Spain)

^c UNIVERSITY OF JAÉN   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BUBBLES (IN FLUIDS); COMPUTER SIMULATION; DROP BREAKUP; MATHEMATICAL MODELS; MORPHOLOGY; REYNOLDS NUMBER; VELOCITY; VISCOSITY;

BREAKUP PROCESS; STRAINING FLOW; TURBULENT BREAKUP; VELOCITY FIELDS;

GAS DYNAMICS;

BUBBLE; DROPLET; REYNOLDS NUMBER;

EID: 32044448509     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200500741X     Document Type: Article

References (30)

1. Abramowitz, M. & Stegun, I. A. 1970 Handbook of Mathematical Functions. Dover.
2. Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
3. Burton, J., Waldrep, R. & Taboreck, P. 2005 Scaling instabilities in bubble pinch-off. Phys. Rev. Lett. 94, 184502.
4. Chen, Y. & Steen, P. 1997 Dynamics of inviscid capillary breakup: collapse and pinchoff of a film bridge. J. Fluid Mech. 341, 245-267.
5. Chong, M. S., Perry, A. E. & Cantwell, B. J. 1990 A general classification of three-dimensional flow fields. Phys. Fluids A 2, 765-777.
6. Cristini, V., Blawzdziewicz, J., Loewenberg, M. & Collins, L. R. 2003 Breakup in stochastic Stokes flows: Sub-Kolmogorov drops in isotropic turbulence. J. Fluid Mech. 492, 231-250.
7. Day, R. F., Hinch, E. J. & Lister, J. R. 1998 Self-similar capillary pinchoff of an inviscid fluid. Phys. Rev. Lett. 80, 704-707.
8. Eastwood, C. D., Armi, L. & Lasheras, J. C. 2004 The breakup of immiscible fluids in turbulent flows. J. Fluid Mech. 502, 309-333.
9. Eggers, J. 1997 Nonlinear dynamics and breakup of free surface flows. Rev. Mod. Phys. 69, 865-929.
10. Eggers, J. 2005 Drop formation - an overview. Z. Angew Math. Mech. 85, 400-410.
11. Frankel, I. & Weihs, D. 1985 Stability of a capillary jet with linearly increasing axial velocity (with application to shaped charges). J. Fluid Mech. 155, 289-307.
12. Gordilla, J. M., Sevilla, A., Rodríguez-Rodríguez, J. & Martínez-Bazán, C. 2005 Axisymmetric bubble pinch-off at high Reynolds numbers. Phys. Rev. Lett. 95, 194501.
13. Higuera, F. J. 2004 Axisymmetric inviscid interaction of a bubble and a vortex ring. Phys. Fluids 16, 1156-1159.
14. Hinze, J. O. 1955 Fundamentals of the hydrodynamics mechanisms of splitting in dispersion process. AIChE J. 1, 289-295.
15. Kang, I. S. & Leal, L. G. 1987 Numerical solution of axisymmetric, unsteady free-boundary problems at finite reynolds number. I. Finite-difference scheme and its application to the deformation of a bubble in a uniaxial straining flow. Phys. Fluids 30, 1929-1940.
16. Kang, I. S. & Leal, L. G. 1990 Bubble dynamics in time-periodic straining flows. J. Fluid Mech. 218, 41-69.
17. Kolmogorov, A. N. 1949 On the breakage of drops in a turbulent flow. Dokl. Akad. Nauk. SSSR 66, 825-828.
18. Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
19. Leppinen, D. & Lister, J. R. 2003 Capillary pinch-off in inviscid fluids. Phys. Fluids 15, 568-578.
20. Martínez-Bazán, C., Montañés, J. L. & Lasheras, J. C. 1999a On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency. J. Fluid Mech. 401, 157-182.
21. Martínez-Bazán, C., Montañés, J. L. & Lasheras, J. C. 1999b On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles. J. Fluid Mech. 401, 183-207.
22. Oguz, H. N. & Prosperetti, A. 1993 Surface-tension effects in the contact of liquid surfaces. J. Fluid Mech. 203, 149-171.
23. Oguz, H. N. & Prosperetti, A. 1993 Dynamics of bubble growth and detachment from a needle. J. Fluid Mech. 257, 111-145.
24. Perry, A. E. & Chong, M. S. 1993 Eddy Structure Identification in Free Turbulent Shear Flows (ed. J. P. Bonnet & M. N. Glauser). Kluwer.
25. Risso, F. & Fabre, J. 1998 Oscillations and breakup of a bubble immersed in a turbulent field J. Fluid Mech. 372, 323-355.
26. Rodríguez-Rodríguez, J. 2004 Estudio de la rotura de gotas y burbujas en flujos a altos números de Reynolds. PhD thesis Universidad Carlos III de Madrid, Madrid.
27. Rodríguez-Rodríguez, J., Martínez-Bazán, C. & Montañés, J. L. 2003 A novel particle tracking and breakup detection algorithm: Application to the turbulent breakup of bubbles. Meas. Sci. Technol. 14, 1328-1340.
28. Shreekumar, R., Kumar, R. & Gandhi, K. S. 1996 Breakage of a drop of inviscid fluid due to a pressure fluctuation at its surface. J. Fluid Mech. 328, 1-17.
29. Sreenivasan, K. R. 1995 On the universality of the Kolmogorov constant. Phys. Fluids 11, 2778-2784.
30. Stone, H. A. 1994 Dynamics of drop deformation and breakup in viscous fluids. Annu. Rev. Fluid Mech. 26, 65-102.