On the breakup of fluid rivulets

Physics of Fluids

Volumn 21, Issue 8, 2009, Pages

  Diez, Javier A ^a   González, Alejandro G ^a   Kondic, Lou ^b  

^a UNIVERSIDAD NACIONAL DEL CENTRO DE LA PROVINCIA DE BUENOS AIRES   (Argentina)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW INTERACTIONS; VAN DER WAALS FORCES;

CROSS SECTIONAL AREA; FINITE SIZE EFFECT; FLUID SOLID INTERACTION; HORIZONTAL SUBSTRATES; INFINITE FLUIDS; LUBRICATION APPROXIMATIONS; RAYLEIGH-PLATEAU INSTABILITY; VAN DER WAALS INTERACTIONS;

FIGHTER AIRCRAFT;

EID: 70049095653     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3211248     Document Type: Article

References (35)

1. H. A. Stone, A. D. Stroock, and A. Ajdari, "Engineering flows in small devices," Annu. Rev. Fluid Mech. ARVFA30066-4189 36, 381 (2004). 10.1146/annurev.fluid.36.050802.122124
2. H. A. Stone and S. Kim, "Microfluidics: Basic issues, applications, and challenges," AIChE J. AICEAC0001-1541 47, 1250 (2001). 10.1002/ aic.690470602
3. K. J. Ruschak, "Coating flows," Annu. Rev. Fluid Mech. ARVFA30066-4189 17, 65 (1985). 10.1146/annurev.fl.17.010185.000433
4. H. S. Kheshgi, "The fate of thin liquid films after coating," in Liquid Film Coating, edited by S. F. Kistler and P. M. Schweizer (Chapman and Hall, London, 1997), p. 183.
5. R. G. Larson and T. J. Regh, "Spin coating," in Liquid Film Coating, edited by S. F. Kistler and P. M. Scheizer (Chapman and Hall, London, 1997), p. 709.
6. J. Becker, G. Grün, R. Seemann, H. Mantz, K. Jacobs, K. R. Mecke, and R. Blossey, "Complex dewetting scenarios captured by thin-film models," Nature Mater. NMAACR1476-1122 2, 59 (2003). 10.1038/nmat788
7. F. Brochard-Wyart and C. Redon, "Dynamics of liquid rim instabilities," Langmuir LANGD50743-7463 8, 2324 (1992). 10.1021/ la00045a041
8. S. Herminghaus, K. Jacobs, K. Mecke, J. Bischof, A. Fery, M. Ibn-Elhaj, and S. Schlagowski, "Spinodal dewetting n liquid crystal and liquid metal films," Science SCIEAS0036-8075 282, 916 (1998). 10.1126/ science.282.5390.916
9. J. Diez and L. Kondic, "On the breakup of fluid films of finite and infinite extent," Phys. Fluids PHFLE61070-6631 19, 072107 (2007). 10.1063/1.2749515
10. C. Favazza, R. Kalyanaraman, and R. Sureshkumar, "Robust nanopatterning by laser-induced dewetting of metal nanofilms," Nanotechnology NNOTER0957-4484 17, 4229 (2006). 10.1088/0957-4484/17/16/ 038
11. L. Kondic, J. Diez, P. Rack, Y. Guan, and J. Fowlkes, "Nanoparticle assembly via the dewetting of patterned thin metal lines: Understanding the instability mechanism," Phys. Rev. E PLEEE81063-651X 79, 026302 (2009). 10.1103/PhysRevE.79.026302
12. S. H. Davis, "Moving contact lines and rivulet instabilities. Part 1: The static rivulet," J. Fluid Mech. JFLSA70022-1120 98, 225 (1980). 10.1017/S0022112080000110
13. K. Sekimoto, R. Oguma, and K. Kawasaki, "Morphological stability analysis of partial wetting," Ann. Phys. ANPYA20003-3804 176, 359 (1987). 10.1016/0003-4916(87)90007-8
14. G. W. Young and S. H. Davis, "Rivulet instabilities," J. Fluid Mech. JFLSA70022-1120 176, 1 (1987). 10.1017/S0022112087000557
15. S. K. Wilson, B. R. Duffy, and A. B. Ross, "On the gravity-driven draining of a rivulet of viscoplastic material down a slowly varying substrate," Phys. Fluids PHFLE61070-6631 14, 555 (2002). 10.1063/ 1.1416882
16. P. C. Duineveld, "The stability of ink-jet printing lines of liquid with zero receding contact angle on a homogeneous substrate," J. Fluid Mech. JFLSA70022-1120 477, 175 (2003). 10.1017/S0022112002003117
17. D. Langbein, "The shape and stability of liquid menisci at solid edges," J. Fluid Mech. JFLSA70022-1120 213, 251 (1990). 10.1017/ S0022112090002312
18. R. V. Roy and L. W. Schwartz, "On the stability of liquid ridges," J. Fluid Mech. JFLSA70022-1120 391, 293 (1999). 10.1017/ S0022112099005352
19. L. Yang and G. M. Homsy, "Capillary instabilities of liquid films inside a wedge," Phys. Fluids PHFLE61070-6631 19, 044101 (2007). 10.1063/1.2716632
20. S. Mechkov, M. Rauscher, and S. Dietrich, "Stability of liquid ridges on chemical micro- and nanostripes," Phys. Rev. E PLEEE81063-651X 77, 061605 (2008). 10.1103/PhysRevE.77.061605
21. M. S. McCallum, M. J. Miksis, P. W. Voorhees, S. H. Davis, and H. Wong, "Capillary instabilities in solid thin films: Lines," J. Appl. Phys.JAPIAU0021-8979 79, 7604 (1996). 10.1063/1.362343
22. H. Wong, M. J. Miksis, P. W. Voorhees, and S. H. Davis, "Universal pinch off of rods by capillarity-driven surface diffusion," Scr. Mater. SCMAF71359-6462 39, 55 (1998). 10.1016/S1359-6462(98)00127-4
23. J. Park, K. Y. Suh, S. Seo, and H. H. Lee, "Anisotropic rupture of polymer strips driven by Rayleigh instability," J. Chem. Phys. JCPSA60021-9606 124, 214710 (2006). 10.1063/1.2206580
24. The choice of the scaling and its dependence on the material parameters may be one of the reasons for the fact that the connection between the different results listed in the text has not been discussed in any detail until now.
25. L. Yang and G. M. Homsy, "Steady three-dimensional thermocapillary flows and dryout inside a V-shaped wedge," Phys. Fluids PHFLE61070-6631 18, 042107 (2006). 10.1063/1.2193471
26. L. A. Romero and F. G. Yost, "Flow in an open channel capillary," J. Fluid Mech. JFLSA70022-1120 322, 109 (1996). 10.1017/ S0022112096002728
27. C. Redon, F. Brochard-Wyart, and F. Rondelez, "Dynamics of dewetting," Phys. Rev. Lett. PRLTAO0031-9007 66, 715 (1991). 10.1103/PhysRevLett.66.715
28. K. B. Glasner and T. P. Witelski, "Coarsening dynamics of dewetting films," Phys. Rev. E PLEEE81063-651X 67, 016302 (2003). 10.1103/ PhysRevE.67.016302
29. A. L. Bertozzi, G. Grün, and T. P. Witelski, "Dewetting films: Bifurcations and concentrations," Nonlinearity NONLE50951-7715 14, 1569 (2001). 10.1088/0951-7715/14/6/309
30. K. B. Glasner and T. P. Witelski, "Collision versus collapse of droplets in coarsening of dewetting thin films," Physica D PDNPDT0167-2789 209, 80 (2005). 10.1016/j.physd.2005.06.010
31. A. G. González, J. Diez, R. Gratton, and J. Gomba, "Rupture of a fluid strip under partial wetting conditions," Europhys. Lett. EULEEJ0295-5075 77, 44001 (2007). 10.1209/0295-5075/77/44001
32. J. A. Diez, A. G. González, and L. Kondic, "Stability of a finite-length rivulet under partial wetting conditions," J. Phys.: Conf. Ser. JPCSDZ1742-6588 166, 012009 (2009). 10.1088/1742-6596/166/1/ 012009
33. J. Diez and L. Kondic, "Computing three-dimensional thin film flows including contact lines," J. Comput. Phys. JCTPAH0021-9991 183, 274 (2002). 10.1006/jcph.2002.7197
34. U. Thiele, M. G. Velarde, K. Neuffer, and Y. Pomeau, "Film rupture in the diffuse interface model coupled to hydrodynamics," Phys. Rev. E PLEEE81063-651X 64, 031602 (2001). 10.1103/PhysRevE.64.031602
35. J. R. King, A. Münch, and B. Wagner, "Linear stability of a ridge," Nonlinearity NONLE50951-7715 19, 2813 (2006). 10.1088/ 0951-7715/19/12/005