Unstable spreading of a fluid filament on a vertical plane: Experiments and simulations

Physica D: Nonlinear Phenomena

Volumn 209, Issue 1-4 SPEC. ISS., 2005, Pages 49-61

  Diez, J ^a,c   Gonzalez A G ^a,c   Gomba, J ^a,c   Gratton, R ^a,c   Kondic, L ^b  

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

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^c Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

Author keywords

Contact line; Instability; Liquid thin films

Indexed keywords

COMPUTER SIMULATION; FOURIER OPTICS; LUBRICATION; SCHLIEREN SYSTEMS; STABILITY; THIN FILMS;

ANAMORPHIC SYSTEMS; CONSTANT VOLUME (CV); FLUID FILAMENTS; LUBRICATION APPROXIMATION;

FLOW OF FLUIDS;

EID: 24144464231     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.06.026     Document Type: Conference Paper

References (30)

1. H. Huppert Flow and instability of a viscous current down a slope Nature 300 1982 427
2. A.L. Bertozzi, and M.P. Brenner Linear stability and transient growth in driven contact lines Phys. Fluids 9 1997 530
3. L.W. Schwartz Viscous flows down an inclined plane: Instability and finger formation Phys. Fluids A 1 1989 443
4. N. Fraysse, and G.M. Homsy An experimental study of rivulet instabilities in centrifugal spin coating of viscous Newtonian and non-Newtonian fluids Phys. Fluids 6 1994 1491
5. F. Melo, J.F. Joanny, and S. Fauve Fingering intability of spinning drops Phys. Rev. Lett. 63 1989 1958
6. A.M. Cazabat, F. Heslot, S.M. Troian, and P. Carles Finger instability of this spreading films driven by temperature gradients Nature 346 1990 824
7. M.J. Tan, S.G. Bankoff, and S.H. Davis Steady thermocapillary flows of thin liquid layers. I. Theory Phys. Fluids A 2 1990 313
8. X. Fanton, A.M. Cazabat, and D. Quéré Thickness and shape of films driven by a Marangoni flow Langmuir 12 1996 5875
9. M. F. G. Johnson. Experimental study of rivulet formation on an inclined plate by fluorescent imaging, Ph.D. thesis, Northwestern University, 1997.
10. M.F.G. Johnson, R.A. Schluter, and S.G. Bankoff Fluorescent imaging system for global measurement of liquid film thickness and dynamic contact angle in free surface flows Rev. Sci. Instrum. 68 1997 4097
11. N. Silvi, and E.B. Dussan V On the rewetting of an inclined solid surface by a liquid Phys. Fluids 28 1985 5
12. J.R. de Bruyn Growth of fingers at a driven three-phase contact line Phys. Rev. A 46 1990 4500
13. J.M. Jerrett, and J.R. de Bruyn Finger instability of a gravitationally driven contact line Phys. Fluids A 4 1992 234
14. H.-C. Chang, I. Veretennikov, and A. Indeikina Front dynamics and fingering of a driven contact line J. Fluid. Mech. 373 1998 81 110
15. A.G. González, J. Diez, J. Gomba, R. Gratton, and L. Kondic Spreading of a thin two-dimensional strip of fluid on a vertical plane: Experiments and modeling Phys. Rev. E 70 2004 026309
16. J. Diez, and L. Kondic Contact line instabilites of thin liquid films Phys. Rev. Lett. 86 2001 632
17. L. Kondic, and J. Diez Contact line instabilities of thin film flows: Constant flux configuration Phys. Fluids 13 2001 3168
18. J. Diez, and L. Kondic Computing three-dimensinal thin film flows including contact lines J. Comp. Phys. 183 2002 274
19. L. Thomas, R. Gratton, B. Marino, S. Betelu, J. Diez, and J. Simon Measurement of the slope of an unsteady liuid surface along a line by an anamorphic schlieren system Measure. Sci. Technol. 7 1996 1134
20. H.P. Greenspan On the motion of a small viscous droplet that wets a surface J. Fluid Mech. 84 1978 125
21. S.M. Troian, E. Herbolzheimer, S.A. Safran, and J.F. Joanny Fingering instabilities of driven spreading films Europhys. Lett. 10 1989 25
22. M.A. Spaid, and G.M. Homsy Viscoelastic free surface flows: spin coating and dynamic contact lines J. Non-Newtonian Fluid. Mech. 55 1994 249
23. E.B. Dussan V The moving contact line: the slip boundary condition J. Fluid Mech. 77 1976 665
24. L.M. Hocking, and A.D. Rivers The spreading of a drop by capillary action J. Fluid. Mech. 121 1982 425
25. J. Diez, L. Kondic, and A.L. Bertozzi Global models for moving contact lines Phys. Rev. E 63 2001 011208
26. P.G. de Gennes Wetting: Statics and dynamics Rev. Mod. Phys. 57 1985 827
27. R. Gratton, J.A. Diez, L.P. Thomas, B. Marino, and S. Betelú Quasi-self-similarity for wetting drops Phys. Rev. E 53 1996 3563
28. R. Goodwin, and G.M. Homsy Viscous flow down a slope in the vicinity of a contact line Phys. Fluids A 3 1991 515
29. B.M. Marino, L.P. Thomas, J.A. Diez, and R. Gratton Capillarity effects on viscous gravity spreading of wetting fluids J. Colloid Interface Sci. 177 1996 14
30. Y. Ye, and H. Chang A spectral theory for fingering on a prewetted plane Phys. Fluids 11 1999 2494