Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell

Physical Review Letters

Volumn 90, Issue 14, 2003, Pages

  Pauné, Eduard ^a   Casademunt, Jaume ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FOURIER TRANSFORMS; GREEN'S FUNCTION; INTERFACES (MATERIALS); KINETIC THEORY; LAPLACE TRANSFORMS; POROUS MATERIALS; RANDOM PROCESSES; SURFACE TENSION; VISCOSITY;

KINETIC ROUGHENING; NONCONSERVED INTERFACE EQUATION; NONLOCAL INTERFACE EQUATION; RANDOM HELE-SHAW CELL;

TWO PHASE FLOW;

EID: 0037527916     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. A.-L. Barási and H. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, UK, 1995).
2. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995)
3. T. Halpin-Healy and Y.-C. Zhang, J. Krug, Adv. Phys. 46, 139 (1997).
4. M. A. Rubio, C. A. Edwards, A. Dougherty, and J. P. Gollub, Phys. Rev. Lett. 63, 1685 (1989)
5. V. K. Horváth, F. Family, and T. Vicsek, J. Phys. A 24, L25 (1991)
6. S. He, G. L. M. K. S. Kahanda, and P.-z. Wong, Phys. Rev. Lett. 69, 3731 (1992).
7. V. Ganesan and H. Brenner, Phys. Rev. Lett. 81, 578 (1998).
8. M. Dubé et al., Phys. Rev. Lett. 83, 1628 (1999)
9. M. Dubé et al., Eur. Phys. J. B 15, 701 (2000).
10. A. Hernández-Machado, et al., Europhys. Lett. 55, 194 (2001).
11. J. Soriano et al., Phys. Rev. Lett. 89, 026102 (2002).
12. J. Soriano, J. Ortín, and A. Hernández-Machado, Phys. Rev. E 66, 031603 (2002).
13. D. Geromichalos, F. Mugele, and S. Herminghaus, Phys. Rev. Lett. 89, 104503 (2002).
14. L.-H. Tang and H. Leschhorn, Phys. Rev. A 45, R8309 (1992).
15. L.-H. Tang, M. Kardar, and D. Dhar, Phys. Rev. Lett. 74, 920 (1995).
16. J. Casademunt, D. Jasnow, and A. Hernández-Machado, Int. J. Mod. Phys. B 6, 1647 (1992).
17. E. Alvarez-Lacalle, J. Casademunt, and J. Ortín, Phys. Rev. E 64, 016302 (2001).
18. Terms of this type coming from capillary and permeability can be included systematically [15], but those from the bulk cannot be obtained explicitly.
19. E Pauné and J Casademunt (unpublished); E. Pauné, Ph.D. thesis, University of Barcelona.
20. The derivation for c ≠ 1 uses the formulation of Ref. [12] but is more involved and will be presented elsewhere [15].
21. I. Richards and H. Youn, Theory of Distributions: A Non-Technical Introduction (Cambridge University Press, Cambridge, UK, 1990).