Diffusion-limited evaporation of thin polar liquid films

Journal of Engineering Mathematics

Volumn 50, Issue 2-3, 2004, Pages 209-222

  Sultan, Eric ^a   Boudaoud, Arezki ^a   Amar, Martine Ben ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Evaporation; Linear stability; Lubrication; Non local amplitude equation; Spinodal decomposition; Thin films

Indexed keywords

CALCULATIONS; CAPILLARITY; DIFFUSION IN GASES; EVAPORATION; LUBRICATION; MICROSCOPIC EXAMINATION; PHASE DIAGRAMS; VAPORS; AMPLITUDE MODULATION; LIQUID FILMS; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; PHASE INTERFACES; SPINODAL DECOMPOSITION; STABILITY;

LUBRICATION EQUATION; THIN POLAR LIQUID FILMS;

THIN FILMS;

DIFFUSION; EVAPORATION; FILM; LIQUID-SOLID SEPARATION; LUBRICATION;

AMPLITUDE EQUATION; DIFFUSION LIMITED; EVAPORATION RATE; LINEAR STABILITY; LUBRICATION EQUATION; MICROSCOPIC INTERACTION; THIN POLAR LIQUID FILMS; VERY THIN FILMS;

EID: 14944341015     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10665-004-1244-0     Document Type: Article

References (15)

1. A. Oron, S. H. Davis and S. G. Bankoff, Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69 (1997) 931-980. 10.1103/ RevModPhys.69.931
2. C. Redon, F. Brochard-Wyart, and F. Rondelez, Festoon instabilities of slightly volatile liquids during spreading. J. Phys. II France 2 (1992) 1671-1676.
3. C. Poulard, O. Benichou and A. M. Cazabat, Freely receding evaporating droplets. Langmuir 19 (2003) 8828-8834.
4. P. Kavehpour, B. Ovryn and G. H. McKinley, Evaporatively-driven Marangoni instabilities of volatile liquid spreading on thermally conductive substrates. Colloid Surface A. 206 (2002) 409-423.
5. A. E. Hosoi and W. M. Bush, Evaporative instabilities in climbing films. J. Fluid Mech. 442 (2001) 217-239.
6. J. B. Fournier and A. M. Cazabat, Tears of wine. Europhys. Lett. 20 (1992) 517-524.
7. S. B. G. M. OBrien, On Marangoni drying: Nonlinear kinematic waves in a thin film. J. Fluid Mech. 254 (1993) 649-670.
8. R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel and T. A. Witten, Contact line deposit in an evaporating drop. Phys. Rev. E 62 (1999) 217-239.
9. M. Elbaum and S. G. Lipson, How Does a Thin Wetted Film Dry Up? Phys. Rev. Lett. 72 (1994) 3562-3565.
10. J. P. Burelbach, S. G. Bankoff and S. H. Davis, Nonlinear stability of evaporating/condensing liquid film. J. Fluid Mech. 195 (1988) 463-494. 0653.76035
11. N. Samid-Merzel, S. G. Lipson and D. S. Tannhauser, Pattern formation in drying water films. Phys. Rev. E 57 (1998) 2906-2913.
12. A. V. Lyushnin, A. A. Golovin and L. M. Pismen, Fingering instability of thin evaporating liquid films. Phys. Rev. E 65 (2002).
13. A. Sharma and A. T. Jameel, Nonlinear stability, rupture, and morphological phase-separation of thin films on a polar and polar substrates. J. Colloid Interf. Sci. 161 (1993) 190-208.
14. R. Friedrichs and A. Engel, Nonlinear analysis of the Rosensweig instability. Europhys. Lett. 63 (2003) 826-832.
15. P. Manneville 1990 Dissipative Structures and Weak Turbulence Academic Press New York 448 pp.