Dynamics of a two-dimensional upflowing mixing layer seeded with bubbles: Bubble dispersion and effect of two-way coupling

Physics of Fluids

Volumn 18, Issue 10, 2006, Pages

  Climent, Eric ^a   Magnaudet, J ^b  

^a LABORATOIRE DE GÉNIE CHIMIQUE   (France)

^b IMFT   (France)

Author keywords

Bubbles; Flow instability; Flow simulation; Mixing; Numerical analysis; Two phase flow; Vortices

Indexed keywords

COMPUTER SIMULATION; FLOW INTERACTIONS; MATHEMATICAL MODELS; MIXING; ORDINARY DIFFERENTIAL EQUATIONS; TWO PHASE FLOW; VORTEX FLOW;

FLOW INSTABILITY; FLOW SIMULATION; INTERPHASE MOMENTUM TRANSFER;

BUBBLES (IN FLUIDS);

BUBBLES (IN FLUIDS); COMPUTER SIMULATION; FLOW INTERACTIONS; MATHEMATICAL MODELS; MIXING; ORDINARY DIFFERENTIAL EQUATIONS; TWO PHASE FLOW; VORTEX FLOW;

EID: 33750592731     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2363968     Document Type: Article

References (50)

1. J. K. Eaton and J. R. Fessler, "Preferential concentration of particles by turbulence," Int. J. Multiphase FlowIJMFBP0301-932210.1017/S0022112093002708 20, 169 (1994).
2. P. D. M. Spelt and A. Biesheuvel, "On the motion of gas bubbles in homogeneous isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112096004739 336, 221 (1997).
3. J. Davila and J. C. R. Hunt, "Settling of small particles near vortices and in turbulence," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112001004694 440, 117 (2001).
4. G. Sridhar and J. Katz, "Effect of entrained bubbles on the structure of vortex rings," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112099006187 397, 171 (2001).
5. P. M. Rightley and J. C. Lasheras, "Bubble dispersion and interphase coupling in a free-shear flow," J. Fluid Mech.JFLSA70022-1120 421, 21 (2000).
6. B. Ford and E. Loth, "Forces on ellipsoidal bubbles in a turbulent shear layer," Phys. FluidsPHFLE61070-663110.1063/1.86955710, 178 (1998).
7. T. Dreier, S. Blaser, W. Kinzelbach, M. Virant, and H. G. Maas, "Simultaneous measurement of particle and fluid velocities in a plane mixing layer with dispersion," Exp. FluidsEXFLDU0723-4864 29, 486 (2000).
8. C. Martinez-Bazan and J. C. Lasheras, "Turbulent dispersion of bubbles in a plane free shear layer," Exp. Therm. Fluid Sci.ETFSEO0894-177710.1016/S0894-1777(01)00097-8 25, 437 (2001).
9. C. R. Hunt, T. R. Auton, K. Sene, N. H. Thomas, and R. Kowe, "Bubble motions in large eddies and turbulent flows," in Transient Phenomena in Multiphase Flow, edited by N. H. Afghan (Hemisphere, Washington, DC, 1988), pp. 103-126.
10. K. K. Tio, A. Liñan, J. C. Lasheras, and A. M. Gañan-Calvo, "On the dynamics of buoyant and heavy particules in a periodic Stuart vortex flow," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112093002307 254, 671 (1993).
11. K. K. Tio, J. C. Lasheras, A. M. Gañan-Calvo, and A. Liñan, "The dynamics of bubbles in periodic vortex flows," Appl. Sci. Res.ASRHAU0003-699410.1007/BF01082550 51, 285 (1993).
12. M. R. Maxey, "The motion of small spherical particles in a cellular flow field," Phys. FluidsPFLDAS0031-917110.1063/1.866206 30, 1915 (1987).
13. R. Chein and J. N. Chung, "Effects of vortex pairing on particle dispersion in turbulent shear flows," Int. J. Multiphase FlowIJMFBP0301-932210.1016/0301-9322(87)90066-8 13, 785 (1987).
14. R. Chein and J. N. Chung, "Simulation of particle dispersion in a two-dimensional mixing layer," AIChE J.AICEAC0001-154110.1002/ aic.690340607 34, 946 (1988).
15. K. D. Squires and J. K. Eaton, "Particle response and turbulence modification in isotropic turbulence," Phys. Fluids APFADEB0899-821310.1063/1.857620 2, 1191 (1990).
16. S. Elghobashi and G. C. Truesdell, "On the two-way interaction between homogeneous turbulence and dispersed solid particles. Part I: Turbulence modification," Phys. Fluids APFADEB0899-821310.1063/ 1.858854 5, 1790 (1993).
17. Q. Wang and K. D. Squires, "Large eddy simulation of particle-laden turbulent channel flow," Phys. FluidsPHFLE61070-663110.1063/ 1.868911 8, 1207 (1996).
18. I. M. Mazzitelli, D. Lohse, and F. Toschi, "On the relevance of the lift force in bubbly turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112003004877 488, 283 (2003).
19. E. Loth and M. S. Cebrinzky, "Modulation of shear layer thickness due to large bubbles," Int. J. Multiphase FlowIJMFBP0301-932210.1016/0301-9322(95)00017-R 21, 919 (1995).
20. V. Roig, C. Suzanne, and L. Masbernat, "Experimental investigation of a bubbly mixing layer," Int. J. Multiphase FlowIJMFBP0301-932210.1016/S0301-9322(97)00046-3 24, 35 (1998).
21. G. R. Ruetsch and E. Meiburg, "Two-way coupling in shear layer with dilute bubble concentrations," Phys. FluidsPHFLE61070-663110.1063/ 1.868155 6, 2656 (1994).
22. E. Meiburg, E. Wallner, A. Pagella, A. Riaz, E. Hartel, and F. Necker, "Vorticity dynamics of dilute two-way coupled particle-laden mixing layers," J. Fluid Mech.JFLSA70022-112010.1017/S0022112000001737 421, 185 (2000).
23. E. Wallner and E. Meiburg, "Vortex pairing in two-way coupled, particle laden mixing layers," Int. J. Multiphase FlowIJMFBP0301-932210.1016/S0301-9322(01)00083-0 28, 325 (2002).
24. O. A. Druzhinin and S. E. Elgobashi, "Direct numerical simulation of a three-dimensional spatially developing bubble-laden mixing layer with two-way coupling," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112000002603 429, 23 (2001).
25. R. Gatignol, "The Faxen formulae for a rigid particle in unsteady non-uniform Stokes flow," J. Mec. Theor. Appl.JMTADB0750-724010.1063/1.864230 1, 143 (1983).
26. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a non-uniform flow," Phys. FluidsPFLDAS0031-917110.1063/ 1.864230 26, 883 (1983).
27. G. Mougin and J. Magnaudet, "Path instability of a rising bubble," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.88.014502 88, 014502 (2002).
28. J. Magnaudet and I. Eames, "The motion of high-Reynolds-number bubbles in inhomogeneous flows," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.32.1.659 32, 659 (2000).
29. J. Magnaudet, "Inertial effects of a spherical bubble, drop or particle moving near a wall in a time-dependent linear flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112003004464 485, 115 (2003).
30. J. Magnaudet, M. Rivero, and J. Fabre, "Accelerated flows past a rigid sphere or a spherical bubble. Part I: Steady straining flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112095000280 284, 97 (1995).
31. D. W. Moore, "The boundary layer on a spherical gas bubble," J. Fluid Mech.JFLSA70022-112010.1017/S0022112063000665 16, 161 (1963).
32. M. Rivero, J. Magnaudet, and J. Fabre, "Quelques résultats nouveaux concernant les forces exercées sur une inclusion sphérique par un écoulement accéléré," C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre UniversCRAMED0764-4450 312, 1499 (1991).
33. D. Legendre and J. Magnaudet, "The lift force on a spherical bubble in a viscous linear shear flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112098001621 368, 81 (1998).
34. T. R. Auton, "The lift force on a spherical body in a rotational flow," J. Fluid Mech.JFLSA70022-1120 183, 199 (1987).
35. E. Climent and J. Magnaudet, "Simulation d'écoulements induits par des bulles dans un liquide initialement au repos," C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron.CMCAEK1251-806910.1016/S1251-8069(99)80012-8 324, 91 (1997).
36. E. Climent and J. Magnaudet, "Large-scale simulations of bubble-induced convection in a liquid layer," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.82.4827 82, 4827 (1999).
37. O. Caballina, E. Climent, and J. Dusek, "Two-way coupling simulations of instabilities in a plane bubble plume," Phys. FluidsPHFLE61070-663110.1063/1.1566754 15, 1535 (2003).
38. V. Armenio, U. Piomelli, and V. Fiorotto, "Effect of the subgrid scales on particle motion," Phys. FluidsPHFLE61070-663110.1063/ 1.870162 11, 3030 (1999).
39. F. Wen, N. Kamalu, J. N. Chung, C. T. Crowe, and T. R. Troutt, "Particle dispersion by vortex structures in plane mixing layers," J. Fluids Eng.JFEGA40098-2202 114, 657 (1992).
40. K. Hishida, A. Ando, and M. Maeda, "Experiments on particle dispersion in a turbulent mixing layer," Int. J. Multiphase FlowIJMFBP0301-932210.1016/0301-9322(92)90081-Q 18, 181 (1992).
41. K. D. Squires and J. K. Eaton, "Preferential concentration of particules by turbulence," Phys. Fluids APFADEB0899-821310.1063/ 1.858045 3, 1169 (1991).
42. G. R. Ruetsch and E. Meiburg, "On the motions of small spherical bubbles in two-dimensional vortical flows," Phys. Fluids APFADEB0899-821310.1063/1.858750 5, 2326 (1993).
43. E. Climent and J. Magnaudet, "Modifications d'une couche de mélange verticale en présence de bulles," C. R. Acad. Sci., Ser. IIb Mec. Phys. Astron.CRSMF21287-4620 326, 627 (1998).
44. J. T. Stuart, "On finite amplitude oscillations in laminar mixing layers," J. Fluid Mech.JFLSA70022-112010.1017/S0022112067000941 29, 417 (1967).
45. P. A. Monkewitz and P. Huerre, "Absolute and convective instabilities in free shear layers," J. Fluid Mech.JFLSA70022-112010.1017/S0022112085003147 159, 151 (1985).
46. D. Oster and I. Wygnanski, "The forced mixing layer between parallel streams," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112082002973 123, 91 (1982).
47. C. W. Stewart and C. T. Crowe, "Bubble dispersion in free shear flows," Int. J. Multiphase FlowIJMFBP0301-932210.1016/ 0301-9322(93)90063-Z 19, 501 (1993).
48. R. E. G. Poorte and A. Biesheuvel, "Experiments on the motion of gas bubbles in turbulence generated by an active grid," J. Fluid Mech.JFLSA70022-112010.1017/S0022112002008273 461, 127 (2002).
49. Y. Yang, J. N. Chung, T. R. Troutt, and C. T. Crowe, "The influence of particles on the spatial stability of two-phase mixing layers," Phys. Fluids APFADEB0899-821310.1063/1.857657 2, 1839 (1990).
50. P. S. Lowery and W. C. Reynolds, "Numerical simulation of a spatially developing, forced, plane mixing layer," Department of Mechanical Engineering, Stanford University, CA Report No. TF-26, 1986.