Negative wake behind a sphere rising in viscoelastic fluids: A lattice Boltzmann investigation

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

Volumn 74, Issue 5, 2006, Pages

  Frank, Xavier ^a   Li, Huai Z ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; MAXWELL EQUATIONS; NEWTONIAN FLOW; REYNOLDS NUMBER; SPHERES; VISCOELASTICITY;

DEBORAH NUMBER DE; MAXWELL FLUID; NEGATIVE WAKE; VISCOUS STRESSES;

WAKES;

EID: 33751534462     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.056307     Document Type: Article

References (27)

1. G. G. Stokes, Trans. Cambridge Philos. Soc. TCPSAE 0371-5779 9, 8 (1851).
2. O. Hassager, Nature (London) NATUAS 0028-0836 10.1038/279402a0 279, 402 (1979).
3. D. Funfschilling and H. Z. Li, Chem. Eng. Sci. CESCAC 0009-2509 10.1016/S0009-2509(00)00332-8 56, 1137 (2001).
4. H. Z. Li, Y. Mouline, L. Choplin, and N. Midoux, C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron. CMCAEK 1251-8069 324, 491 (1997).
5. G. Astarita and G. Apuzzo, AIChE J. AICEAC 0001-1541 10.1002/aic. 690110514 11, 815 (1965).
6. G. F. Tiefenbruck and L. G. Leal, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10, 115 (1982).
7. M. D. Chilcott and J. M. Rallison, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(88)85062-6 29, 381 (1988).
8. W. J. Lunsmann, L. Genieser, R. A. Brown, and R. C. Armstron, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(93)80065-J 48, 63 (1993).
9. M. B. Bush, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(94)80072-3 55, 229 (1994).
10. J. V. Satrape and M. J. Crochet, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(94)80061-8 55, 91 (1994).
11. D. D. Joseph and J. Feng, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 57, 313 (1995).
12. P. Singh, D. D. Joseph, T. I. Hesla, R. Glowinski, and T. W. Pan, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/S0377-0257(99)00104-4 91, 165 (2000).
13. O. G. Harlen, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/S0377-0257(02)00139-8 108, 411 (2002).
14. C. Bisgaard, J. Non-Newtonian Fluid Mech. JNFMDI 0377-0257 10.1016/0377-0257(83)85003-4 12, 283 (1983).
15. M. T. Arigo and G. H. McKinley, Rheol. Acta RHEAAK 0035-4511 10.1007/s003970050118 37, 307 (1998).
16. X. Frank and H. Z. Li, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71. 036309 71, 036309 (2005).
17. G. Astarita, Ind. Eng. Chem. Fundam. IECFA7 0196-4313 5, 548 (1966).
18. H. Z. Li and X. Frank, Phys. Lett. A PYLAAG 0375-9601 325, 43 (2004).
19. M. R. Swift, W. R. Osborn, and J. M. Yeomans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.830 75, 830 (1995).
20. S. Chen and G. D. Doolen, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.30.1.329 30, 329 (1998).
21. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Clarendon Press, Oxford, 2001).
22. P. Lallemand, D. d’Humiãres, L. S. Luo, and R. Rubinstein, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021203 67, 021203 (2003).
23. S. Gabbanelli, G. Drazer, and J. Koplik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046312 72, 046312 (2005).
24. R. P. Nourgaliev, T. N. Dinh, T. G. Theofanous, and D. Joseph, Int. J. Multiphase Flow IJMFBP 0301-9322 10.1016/S0301-9322(02)00108-8 29, 117 (2003).
25. L. Giraud, D. d’Humiãres, and P. Lallemand, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00296-0 42, 625 (1998).
26. A. J. Wagner, L. Giraud, and C. E. Scott, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(00)00109-0 129, 227 (2000).
27. M. Kemiha, X. Frank, S. Poncin, and H. Z. Li, Chem. Eng. Sci. CESCAC 0009-2509 61, 4041 (2006).