Fingering patterns in the lifting flow of a confined miscible ferrofluid

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 75, Issue 3, 2007, Pages

  Chen, Ching Yao ^a   Wu, S Y ^a   Miranda, José A ^b  

^a NATIONAL YUNLIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FOUR WAVE MIXING; MAGNETIC FIELD EFFECTS; MAGNETIC FIELDS; MORPHOLOGY; SOLUBILITY; SURFACE CHEMISTRY;

FERROFLUID DROPLETS; FLUID MIXING; INTERFACIAL PATTERN FORMATION; MISCIBLE FLOW DISPLACEMENTS;

MAGNETIC FLUIDS;

EID: 33947666140     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.036310     Document Type: Article

References (59)

1. R. E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, England, 1985), and references therein.
2. E. Blums, A. Cebers, and M. M. Maiorov, Magnetic Fluids (de Gruyter, New York, 1997), and references therein.
3. J.-C. Bacri, R. Perzynski, and D. Salin, Endeavour ENDEAS 0013-7162 12, 76 (1988).
4. F. Elias, C. Flament, J.-C. Bacri, and S. Neveu, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1997186 7, 711 (1997).
5. C. Rinaldi, A. Chaves, S. Elborai, X. He, and M. Zahn, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 10, 141 (2005).
6. M. D. Cowley and R. E. Rosensweig, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112067001697 30, 671 (1967).
7. R. Friedrichs and A. Engel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.021406 64, 021406 (2001).
8. A. O. Tsebers and M. M. Maiorov, Magnetohydrodynamics (N.Y.) MGHDAG 0024-998X 16, 21 (1980).
9. S. A. Langer, R. E. Goldstein, and D. P. Jackson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4894 46, 4894 (1992).
10. D. P. Jackson, R. E. Goldstein, and A. O. Cebers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.298 50, 298 (1994).
11. G. Pacitto, C. Flament, J.-C. Bacri, and M. Widom, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7941 62, 7941 (2000).
12. P. G. Saffman and G. I. Taylor, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 245, 312 (1958).
13. R. Richter and I. V. Barashenkov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.184503 94, 184503 (2005).
14. C.-Y. Chen and L.-W. Lo, Magnetohydrodynamics MAGIAI 0025-0015 42, 31 (2006);
15. C.-Y. Chen and L.-W. Lo, J. Magn. Magn. Mater. JMMMDC 0304-8853 305, 440 (2006).
16. C. Lorenz and M. Zahn, Phys. Fluids PHFLE6 1070-6631 15, S4 (2003).
17. S. Rhodes, J. Perez, S. Elborai, S.-H Lee, and M. Zahn, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2004.11.100 289, 353 (2005).
18. S. Elborai, D.-K. Kim, X. He, S.-H Lee, S. Rhodes, and M. Zahn, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1851453 97, 10Q303 (2005).
19. M. Zahn and R. E. Rosensweig, IEEE Trans. Magn. IEMGAQ 0018-9464 10.1109/TMAG.1980.1060586 16, 275 (1980).
20. J. A. Miranda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.2985 62, 2985 (2000).
21. D. P. Jackson and J. A. Miranda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.017301 67, 017301 (2003).
22. J. A. Miranda and R. M. Oliveira, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066312 69, 066312 (2004).
23. R. M. Oliveira and J. A. Miranda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.036309 73, 036309 (2006).
24. M. M. Maiorov and A. O. Tsebers, Magnetohydrodynamics (N.Y.) MGHDAG 0024-998X 19, 376 (1983).
25. A. Cebers, Magnetohydrodynamics (N.Y.) MGHDAG 0024-998X 33, 48 (1997).
26. M. Igonin and A. Cebers, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1568949 15, 1734 (2003).
27. C.-Y. Chen and C.-Y. Wen, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/S0304-8853(02)00666-2 252, 296 (2002).
28. C.-Y. Chen, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1558317 15, 1086 (2003).
29. C.-Y. Chen, H.-J. Wu, and L. Hsu, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2004.11.103 289, 364 (2005).
30. C.-Y. Chen and H.-J. Wu, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2004.11.096 289, 339 (2005).
31. C.-Y. Chen and H.-J. Wu, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1870017 17, 042101 (2005).
32. D. Korteweg, Arch. Neerl. Sci. Exactes Nat., Ser. 3A ANSAAD 0365-5024 2, 6 (1901).
33. D. Joseph, Eur. J. Mech. B/Fluids EJBFEV 0997-7546 9, 565 (1990).
34. G. Galdi, D. Joseph, L. Prezisi, and S. Rionero, Eur. J. Mech. B/Fluids EJBFEV 0997-7546 10, 565 (1991).
35. H. Hu and D. Joseph, Z. Angew. Math. Phys. ZAMPA8 0044-2275 10.1007/BF00946254 43, 626 (1992).
36. D. Joseph, A. Huang, and H. Hu, Physica D PDNPDT 0167-2789 10.1016/0167-2789(96)00097-8 97, 104 (1996).
37. C.-Y. Chen, L. L. Wang, and E. Meiburg, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1387468 13, 2447 (2001).
38. C.-Y. Chen, C.-H. Chen, and J. A. Miranda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.056304 71, 056304 (2005).
39. B. A. Francis and R. G. Horn, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1351057 89, 4167 (2001).
40. D. Derks, A. Lindner, C. Creton, and D. Bonn, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1533095 93, 1557 (2003).
41. S. Poivet, F. Nallet, C. Gay, and P. Fabre, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00352-3 62, 244 (2003).
42. M. Tirumkudulu, W. B. Russel, and T. J. Huang, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1571058 15, 1588 (2003).
43. R. D. Welsh, M.Sc. thesis, Massachusetts Institute of Technology, 2001.
44. J. A. Miranda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.016311 69, 016311 (2004).
45. J. A. Miranda, R. M. Oliveira, and D. P. Jackson, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036311 70, 036311 (2004).
46. S. Poivet, F. Nallet, C. Gay, J. Teisseire, and P. Fabre, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2004-10040-2 15, 97 (2004).
47. A. Lindner, D. Derks, and M. J. Shelley, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1939927 17, 072107 (2005).
48. G. I. Taylor, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 219, 186 (1953).
49. C.-Y. Chen, C.-H. Chen, and J. A. Miranda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046306 73, 046306 (2006).
50. I.-G. Chu, M.Sc. thesis, Da-Yeh University, Taiwan, 1998 (unpublished).
51. C. T. Tan and G. M. Homsy, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866726 31, 1330 (1988).
52. C.-Y. Chen and E. Meiburg, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112098002195 371, 233 (1998);
53. C.-Y. Chen and E. Meiburg, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112098002201 371, 269 (1998).
54. E. Meiburg and C.-Y. Chen, SPE J. SPEJAC 0036-1844 5, 129 (2000).
55. C.-Y. Chen and S. W. Wang, Fluid Dyn. Res. FDRSEH 0169-5983 10.1016/S0169-5983(02)00059-X 30, 315 (2002).
56. M. Ruith and E. Meiburg, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112000001543 420, 225 (2000).
57. F. Gazeau, E. Dubois, J.-C. Bacri, F. Boué, A. Cebers, and R. Perzynski, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.031403 65, 031403 (2002).
58. D. P. Jackson and J. A. Miranda (unpublished).
59. S. K. Thamida, P. V. Takhistov, and H.-C. Chang, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1384461 13, 2190 (2001).