Thermocapillary-driven motion of a sessile drop: Effect of non-monotonic dependence of surface tension on temperature

Langmuir

Volumn 30, Issue 15, 2014, Pages 4310-4321

  Karapetsas, George ^a   Sahu, Kirti Chandra ^b   Sefiane, Khellil ^c   Matar, Omar K ^d  

^a UNIVERSITY OF THESSALY   (Greece)

^b INDIAN INSTITUTE OF TECHNOLOGY HYDERABAD   (India)

^c UNIVERSITY OF EDINBURGH   (United Kingdom)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DROPS; SUBSTRATES; SURFACE TENSION;

EVOLUTION EQUATIONS; HEATED SUBSTRATES; HYDROPHOBIC SUBSTRATE; LOCAL TEMPERATURE; LUBRICATION THEORY; NON-MONOTONIC DEPENDENCE; THERMOCAPILLARITY; THERMOCAPILLARY;

CAPILLARY FLOW;

SURFACTANT;

CHEMICAL PHENOMENA; CHEMISTRY; SURFACE TENSION; TEMPERATURE; WETTABILITY;

HYDROPHOBIC AND HYDROPHILIC INTERACTIONS; SURFACE TENSION; SURFACE-ACTIVE AGENTS; TEMPERATURE; WETTABILITY;

EID: 84899458941     PISSN: 07437463     EISSN: 15205827     Source Type: Journal    
DOI: 10.1021/la5002682     Document Type: Article

References (47)

1. Thampi, S. P.; Govindarajan, R. Minimum energy shapes of one-side-pinned static drops on inclined surfaces Phys. Rev. E 2011, 84, 046304
2. de Gennes, P. G. Wetting: statics and dynamics Rev. Mod. Phys. 1985, 57, 827
3. Bonn, D.; Eggers, J.; Indekeu, J.; Meunier, J.; Rolley, E. Wetting and spreading Rev. Mod. Phys. 2009, 81, 739-805
4. Bouasse, H. Capillarite: phenomenes superficiels; Librairie Delgrave: Paris, 1924.
5. Brzoska, J. B.; Brochard-Wyart, F.; Rondelez, F. Motions of droplets on hydrophobic model surfaces induced by thermal gradients Langmuir 1993, 9, 2220-2224
6. Chen, J. Z.; Troian, S. M.; Darhuber, A. A.; Wagner, S. Effect of contact angle hysteresis on thermocapillary droplet actuation J. Appl. Phys. 2005, 97, 014906
7. Brochard, F. Motions of droplets on solid surfaces induced by chemical or thermal gradients Langmuir 1989, 5, 432-438
8. Ford, M. L.; Nadim, A. Thermocapillary migration of an attached drop on a solid surface Phys. Fluids 1994, 6, 3183-3185
9. Ehrhard, P.; Davis, S. H. Non-isothermal spreading of liquid drops on horizontal plates J. Fluid Mech. 1991, 229, 365-388
10. Dunn, G. J.; Duffy, B. R.; Wilson, S. K.; Holland, D. Quasi-steady spreading of a thin ridge of fluid with temperature-dependent surface tension on a heated or cooled substrate Quarterly Journal of Mechanics and Applied Mathematics 2009, 62, 365-402
11. Anderson, D. M.; Davis, S. H. The spreading of volatile liquid droplets on heated surfaces Phys. Fluids 1995, 7, 248
12. Karapetsas, G.; Matar, O. K.; Valluri, P.; Sefiane, K. Convective rolls and hydrothermal waves in evaporating sessile drops Langmuir 2012, 28, 11433-11439
13. Chen, J.-C.; Kuo, C.-W.; Neitzel, G. Numerical simulation of thermocapillary nonwetting Int. J. Heat Mass Transfer 2006, 49, 4567-4576
14. Nguyen, H.-B.; Chen, J.-C. Numerical study of a droplet migration induced by combined thermocapillary-buoyancy convection Phys. Fluids 2010, 22, 122101-122101-9
15. Smith, M. K. Thermocapillary migration of a two-dimensional liquid droplet on a solid surface J. Fluid Mech. 1995, 294, 209-230
16. Gomba, J. M.; Homsy, G. M. Regimes of thermocapillary migration of droplets under partial wetting conditions J. Fluid Mech. 2010, 647, 125
17. Pratap, V.; Moumen, N.; Subramanian, R. S. Thermocapillary motion of a liquid drop on a horizontal solid surface Langmuir 2008, 24, 5185-5193
18. Daniel, S.; Chaudhury, M. K.; Chen, J. C. Fast drop movements resulting from the phase change on a gradient surface Science 2001, 291, 633-636
19. Wasan, D. T.; Nikolov, A. D.; Brenner, H. Droplets speeding on surfaces Science 2001, 291, 605-606
20. Karapetsas, G.; Sahu, K. C.; Matar, O. K. Effect of contact line dynamics on the thermocapillary motion of a droplet on an inclined plate Langmuir 2013, 29, 8892-8906
21. Vochten, R.; Petre, G. Study of heat of reversible adsorption at air-solution interface 2. Experimental determination of heat of reversible adsorption of some alcohols J. Colloid Interface Sci. 1973, 42, 320-327
22. Petre, G.; Azouni, M. A. Experimental evidence for the minimum of surface tension with temperature at aqueous alcohol solution air interfaces J. Colloid Interface Sci. 1984, 98, 261-263
23. Legros, J. C.; Limbourg-Fontaine, M. C.; Petre, G. Influence of a surface tension minimum as a function of temperature on the marangoni convection Acta Astronautica 1984, 11, 143-147
24. Limbourg-Fontaine, M. C.; Petre, G.; Legros, J. C. Thermocapillary movements under at a minimum of surface tension Naturwissenschaften 1986, 73, 360-362
25. Savino, R.; Cecere, A.; Paola, R. D. Surface tension driven flow in wickless heat pipes with self-rewetting fluids Int. J. Heat Fluid Flow 2009, 30, 380-388
26. Savino, R.; Cecere, A.; Vaerenbergh, S. V.; Abe, Y.; Pizzirusso, G.; Tzevelecos, W.; Mojahed, M.; Galand, Q. Some experimental progresses in the study of the self-rewetting fluids for the SELENE experiment to be carried in the Thermal Platform 1 hardware Acta Astronautica 2013, 89, 179-188
27. Oron, A.; Rosenau, P. On a nonlinear thermocapillary effect in thin liquid layers J. Fluid Mech. 1994, 273, 361-374
28. Slavtchev, S. G.; Miladinova, S. P. Thermocapillary flow in a liquid layer at minimum in surface tension Acta Mechanica 1998, 127, 209-224
29. Abe, Y.; Iwasaki, A.; Tanaka, K. Microgravity experiments on phase change of self-rewetting fluids Ann. N.Y. Acad. Sci. 2004, 1027, 269-285
30. Suzuki, K.; Nakano, M.; Itoh, M. Subcooled boiling of aqueous solution of alcohol, 2005
31. Mcgillis, W. R.; Carey, V. P. On the role of Marangoni effects on the critical heat flux for pool boiling of binary mixtures Trans. ASME J. Heat Transfer 1996, 118, 103-109
32. Ahmed, S.; Carey, V. P. Effects of surface orientation on the pool boiling heat transfer in water/2-propanol mixtures Trans. ASME J. Heat Transfer 1999, 121, 80-88
33. Hu, Y.; Liu, T.; Li, X.; Wang, S. Heat transfer enhancement of micro oscillating heat pipes with self-rewetting fluid Int. J. Heat Mass Transfer 2014, 70, 496-503
34. Karapetsas, G.; Craster, R. V.; Matar, O. K. On surfactant-enhanced spreading and superspreading of liquid drops on solid surfaces J. Fluid Mech. 2011, 670, 5-37
35. McHale, G.; Brown, C. V.; Sampara, N. Voltage-induced spreading and superspreading of liquids Nat. Commun. 2013, 4, 1605
36. Hu, H.; Larson, R. G. Analysis of the microfluid flow in an evaporating sessile droplet Langmuir 2005, 21, 3963-3971
37. Hu, H.; Larson, R. G. Analysis of the effects of Marangoni stresses on the microflow in an evaporating sessile droplet Langmuir 2005, 21, 3972-3980
38. Cazabat, A. M.; Heslot, F.; Troian, S. M.; Carles, P. Fingering instability of thin spreading films driven by temperature gradients Nature 1990, 346, 824
39. Navier, C. L. M. H. Memoire sur les lois du mouvement des fluides Acad. R. Sci. Inst. Fr. 1823, 6, 389-440
40. Tanner, L. H. The spreading of silicone oil drops on horizontal surfaces J. Phys. D: Appl. Phys. 1979, 12, 1473-84
41. Haley, P. J.; Miksis, M. J. The effect of the contact line on droplet spreading J. Fluid Mech. 1991, 223, 57-81
42. Benintendi, S. W.; Smith, M. K. The spreading of a non-isothermal liquid droplet Phys. Fluids 1999, 11, 982-989
43. K. Y. Chan, A. B. Surfactant-assisted spreading of a liquid drop on a smooth solid surface J. Colloid Interface Sci. 2005, 287, 233-248
44. Ehrhard, P. Experiments on isothermal and non-isothermal spreading J. Fluid Mech. 1993, 257, 463-483
45. Savva, N.; Kalliadasis, S. Two-dimensional droplet spreading over topographical substrates Phys. Fluids 2009, 21, 092102
46. Qian, T.; Wang, X.-P.; Sheng, P. Molecular scale contact line hydrodynamics of immiscible flows Phys. Rev. E 2003, 68, 016306
47. Villers, D.; Platten, J. K. Temperature dependence of the interfacial tension between water and long-chain alcohols J. Phys. Chem. 1988, 92, 4023-4024