Interfacial instabilities of a fluid annulus in a rotating Hele-Shaw cell

Physics of Fluids

Volumn 12, Issue 7, 2000, Pages 1685-1698

  Carrillo, Lluís ^a   Soriano, Jordi ^a   Ortín, Jordi ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; CENTRIFUGES; DENSITY (SPECIFIC GRAVITY); DROP FORMATION; INTEGRATION; INTERFACES (MATERIALS); PETROLEUM PRODUCTS; STABILITY; SURFACE PROPERTIES; VELOCITY; VISCOSITY OF LIQUIDS; WETTING;

AIR DISPLACING OIL; FLUID ANNULUS; HELE SHAW CELL; INTERFACIAL INSTABILITIES; LINEAR STABILITY ANALYSIS; OIL DISPLACING AIR;

FLOW OF FLUIDS;

AIR; DISPLACEMENT; INSTABILITY; INTERFACE; OIL;

EID: 0033937410     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870419     Document Type: Article

References (17)

1. P. G. Saffman and G. I. Taylor, "The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid," Proc. R. Soc. London, Ser. A 245, 312 (1958).
2. G. M Homsy, "Viscous fingering in porous media," Annu. Rev. Fluid Mech. 19, 271 (1987).
3. K. J. Ruschak, "Coating flows," Annu. Rev. Fluid Mech. 17, 65 (1985).
4. D. Bensimon, L. P. Kadanoff, S. Liang, B. I. Shraiman, and C. Tang, "Viscous flows in two dimensions," Rev. Mod. Phys. 58, 977 (1986).
5. P. Pelcé, Dynamics of curved fronts (Academic, San Diego, CA, 1988).
6. K. V. McCloud and J. V. Maher, "Experimental perturbations to Saffman-Taylor flow," Phys. Rep. 260, 139 (1995).
7. L. Paterson, "Radial fingering in a Hele-Shaw cell," J. Fluid Mech. 113, 513 (1981).
8. L. W. Schwartz, "Instability and fingering in a rotating Hele-Shaw cell or porous medium," Phys. Fluids A 1, 167 (1989).
9. Ll. Carrillo, F. X. Magdaleno, J. Casademunt, and J. Ortín, "Experiments in a rotating Hele-Shaw cell," Phys. Rev. E 54, 6260 (1996).
10. S. S. S. Cardoso and A. W. Woods, "The formation of drops through viscous instability," J. Fluid Mech. 289, 351 (1995).
11. Ll. Carrillo, J. Soriano, and J. Ortín, "Radial displacement of a fluid annulus in a rotating Hele-Shaw cell," Phys. Fluids 11, 778 (1999).
12. D. A. Reinelt, "Interface conditions for two-phase displacement in Hele-Shaw cells," J. Fluid Mech. 183, 219 (1987).
13. J. A. Miranda and M. Widom, "Radial fingering in a Hele-Shaw cell: a weakly nonlinear analysis," Physica D 120, 315 (1998).
14. R. E. Goldstein, A. I. Pesci, and M. J. Shelley, "Topology transitions and singularities in viscous flows," Phys. Rev. Lett. 70, 3043 (1993).
15. P. Constantin, T. F. Dupont, R. E. Goldstein, L. P. Kadanoff, M. Shelley, and S.-M. Zhou, "Droplet breakup in a model of the Hele-Shaw cell," Phys. Rev. E 47, 4169 (1993).
16. T. F. Dupont, R. E. Goldstein, L. P. Kadanoff, and S.-M. Zhou, "Finite-time singularity formation in Hele-Shaw systems," Phys. Rev. E 47, 4182 (1993).
17. D. Papageorgiou, "On the break-up of viscous liquid threads," Phys. Fluids 7, 1529 (1995).