Dynamics of the triple contact line on a nonisothermal heater at partial wetting

Physics of Fluids

Volumn 22, Issue 8, 2010, Pages

  Nikolayev, Vadim S ^a,b  

^a CEA GRENOBLE   (France)

^b ESPCI   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EVAPORATION; HEAT CONDUCTION;

CONTACT LINE MOTION; DROP EVAPORATION; HYDRODYNAMIC CONTACT; LUBRICATION APPROXIMATIONS; MULTISCALE PROBLEM; NAVIER-SLIP CONDITIONS; TRANSIENT HEAT CONDUCTION; TRIPLE CONTACT LINE;

WETTING;

EID: 77956624749     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3483558     Document Type: Article

References (35)

1. Stephan P, Hammer J. A new model for nucleate boiling heat transfer. Waerme- Stoffuebertrag. 1985, 30:119. WASBBW, 0042-9929
2. Son G, Dhir VK, Ramanujapu N. Dynamics and heat transfer associated with a single bubble during nucleate boiling on a horizontal surface. J. Heat Transfer 1999, 121:623. JHTRAO, 0022-1481, 10.1115/1.2826025
3. Vasiliev LL. Heat pipes in modern heat exchangers. Appl. Therm. Eng. 2005, 25:1. ATENFT, 1359-4311, 10.1016/j.applthermaleng.2003.12.004
4. Wayner PC, Kao YK, LaCroix LV. The interline heat-transfer coefficient of an evaporating wetting film. Int. J. Heat Mass Transfer 1976, 19:487. IJHMAK, 0017-9310, 10.1016/0017-9310(76)90161-7
5. Morris SJ S. A phenomenological model for the contact region of an evaporating meniscus on a superheated slab. J. Fluid Mech. 2000, 411:59. JFLSA7, 0022-1120, 10.1017/S0022112099008046
6. Rednikov AY, Rossomme S, Colinet P. Steady microstructure of a contact line for a liquid on a heated surface overlaid with its pure vapor: Parametric study for a classical model. Multiphase Sci. Technol. 2009, 21:213. 0276-1459, 10.1615/MultScienTechn.v21.i3.30
7. Deegan RD, Bakajin O, Dupont TF, Huber G, Nagel SR, Witten TA. Contact line deposits in an evaporating drop. Phys. Rev. E 2000, 62:756. PLEEE8, 1063-651X, 10.1103/PhysRevE.62.756
8. Ristenpart WD, Kim PG, Domingues C, Wan J, Stone HA. Influence of substrate conductivity on circulation reversal in evaporating drops. Phys. Rev. Lett. 2007, 99:234502. PRLTAO, 0031-9007, 10.1103/PhysRevLett.99.234502
9. Anderson DM, Davis SH. The spreading of volatile liquid droplets on heated surfaces. Phys. Fluids 1995, 7:248. PHFLE6, 1070-6631, 10.1063/1.868623
10. Ajaev VS. Spreading of thin volatile liquid droplets on uniformly heated surfaces. J. Fluid Mech. 2005, 528:279. JFLSA7, 0022-1120, 10.1017/S0022112005003320
11. Sodtke C, Ajaev VS, Stephan P. Dynamics of volatile liquid droplets on heated surfaces: Theory versus experiment. J. Fluid Mech. 2008, 610:343. JFLSA7, 0022-1120, 10.1017/S0022112008002759
12. Murisic N, Kondic L. Modeling evaporation of sessile drops with moving contact lines. Phys. Rev. E 2008, 78:065301. PLEEE8, 1063-651X, 10.1103/PhysRevE.78.065301
13. Brochard-Wyart F, Di Meglio J-M, Quere D, de Gennes P-G. Spreading of nonvolatile liquids in a continuum picture. Langmuir 1991, 7:335. LANGD5, 0743-7463, 10.1021/la00050a023
14. Churaev NV. Surface forces in wetting films. Adv. Colloid Interface Sci. 2003, 103:197. ACISB9, 0001-8686
15. Theofanous TG, Dinh TH, Tu JP, Dinh AP. The boiling crisis phenomenon. Part II: Dryout dynamics and burnout. Exp. Therm. Fluid Sci. 2002, 26:793. ETFSEO, 0894-1777, 10.1016/S0894-1777(02)00193-0
16. Nikolayev VS, Chatain D, Garrabos Y, Beysens D. Experimental evidence of the vapor recoil mechanism in the boiling crisis. Phys. Rev. Lett. 2006, 97:184503. PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.184503
17. Nikolayev VS, Beysens DA. Boiling crisis and non-equilibrium drying transition. Europhys. Lett. 1999, 47:345. EULEEJ, 0295-5075, 10.1209/epl/i1999-00395-x
18. Nikolayev VS, Beysens DA, Lagier G-L, Hegseth J. Growth of a dry spot under a vapor bubble at high heat flux and high pressure. Int. J. Heat Mass Transfer 2001, 44:3499. IJHMAK, 0017-9310, 10.1016/S0017-9310(01)00024-2
19. Ajaev VS, Homsy GM, Morris SJ S. Dynamic response of geometrically constrained vapor bubbles. J. Colloid Interface Sci. 2002, 254:346. JCISA5, 0021-9797, 10.1006/jcis.2002.8631
20. Carslaw HS, Jaeger JC. Conduction of Heat in Solids 1959, 2nd ed. (Clarendon, Oxford)
21. Hocking LM. On contact angles in evaporating liquids. Phys. Fluids 1995, 7:2950. PHFLE6, 1070-6631, 10.1063/1.868672
22. Lauga E, Brenner MP, Stone HA. Springer Handbook of Experimental Fluid Dynamics 2007, 1217-1240. C. Tropea, A. Yarin, J. Foss, and, in, edited by, and (Springer, New York, ), Chap. 19
23. Oron A, Davis SH, Bankoff SG. Long-scale evolution of thin liquid films. Rev. Mod. Phys. 1997, 69:931. RMPHAT, 0034-6861, 10.1103/RevModPhys.69.931
24. Snoeijer J, Andreotti B, Delon G, Fermigier M. Relaxation of a dewetting contact line. Part 1. A full-scale hydrodynamic calculation. J. Fluid Mech. 2007, 579:63. JFLSA7, 0022-1120, 10.1017/S0022112007005216
25. Mathieu B, Lebaigue O, Tadrist L. Numerical investigation of a dynamic contact line model for perfectly wetting liquids on a heated wall of finite conductivity. 2002, 3:455-460. Proceedings of the 12th Int. Heat Transfer Conf., Grenoble, Paper No. 19-23/8.
26. Delon G, Fermigier M, Snoeijer J, Andreotti B. Relaxation of a dewetting contact line. Part 2: Experiments. J. Fluid Mech. 2008, 604:55. JFLSA7, 0022-1120, 10.1017/S0022112008000979
27. Kern J, Stephan P. Theoretical model for nucleate boiling heat and mass transfer of binary mixtures. J. Heat Transfer 2003, 125:1106. JHTRAO, 0022-1481, 10.1115/1.1622717
28. Hu H, Larson R. Evaporation of a sessile droplet on a substrate. J. Phys. Chem. B 2002, 106:1334. JPCBFK, 1089-5647, 10.1021/jp0118322
29. A possibility of such divergencies show the importance of controlling the behavior of the higher h derivatives when the lubrication model equations are combined into a single high order differential equation like one used in Refs. c10 c11 for the description of drops with large difference between drop height and the adhesion film thickness.
30. Patankar SV. Numerical Heat Transfer and Fluid Flow 1980, (Hemisphere, Washington)
31. Poulard C, Bénichou O, Cazabat AM. Freely receding evaporating droplets. Langmuir 2003, 19:8828. LANGD5, 0743-7463, 10.1021/la030162j
32. Hegseth J, Oprisan A, Garrabos Y, Nikolayev VS, Lecoutre-Chabot C, Beysens D. Wetting film dynamics during evaporation under weightlessness in a near-critical fluid. Phys. Rev. E 2005, 72:031602. PLEEE8, 1063-651X, 10.1103/PhysRevE.72.031602
33. Nikolayev VS. Dynamics and depinning of the triple contact line in the presence of periodic surface defects. J. Phys.: Condens. Matter 2005, 17:2111. JCOMEL, 0953-8984, 10.1088/0953-8984/17/13/009
34. Petroff NP, Petroff NP, Petroff NP, Petroff NP. Friction in machines and the effect of lubricant: Part 4. Inzhenernyj Zhurnal, Sankt-Peterburg 1883, 4:535. (in Russian).
35. Reynolds O. On the theory of lubrication and its application to Mr. Beauchamp Tower's experiments, including an experimental determination of viscosity of olive oil. Philos. Trans. R. Soc. London 1886, 177:157. PTRSAV, 0370-2316, 10.1098/rstl.1886.0005