Stability and transient dynamics of thin liquid films flowing over locally heated surfaces

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 5, 2007, Pages

  Tiwari, Naveen ^a   Mester, Zoltan ^a   Davis, Jeffrey M ^a  

^a University of Massachusetts   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLUID DYNAMICS; LUBRICATION; SURFACE TENSION; THERMAL GRADIENTS; TRANSIENT ANALYSIS;

ENERGY ANALYSIS; FREE-SURFACE SHAPES; MARANGONI NUMBER; WAVE NUMBERS;

LIQUID FILMS;

EID: 36048964490     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.056306     Document Type: Article

References (42)

1. A. Sharma and E. Ruckenstein, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(86)90181-5 113, 456 (1986).
2. A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.69.931 69, 931 (1997).
3. Y. O. Kabova, A. Alexeev, T. Gambaryan-Roisman, and P. Stephan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2166642 18, 012104 (2006).
4. C. M. Gramlich, S. Kalliadasis, and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1476672 14, 1841 (2002).
5. D. L. DeVoe, IEEE Trans. Compon. Packag. Technol. ITCPFB 1521-3331 10.1109/TCAPT.2003.809110 25, 576 (2003).
6. A. A. Darhuber, J. M. Davis, S. M. Troian, and W. W. Reisner, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1562628 15, 1295 (2003).
7. A. A. Darhuber, J. P. Valentino, J. M. Davis, S. M. Troian, and S. Wagner, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1537512 82, 657 (2003).
8. J. Davies and E. Rideal, Interfacial Phenomena (Academic Press, New York, 1963).
9. J. R. Pearson, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112058000616 4, 489 (1958).
10. C. V. Sternling and L. E. Scriven, AIChE J. AICEAC 0001-1541 10.1002/aic.690050421 5, 514 (1959).
11. S. H. Davis, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev. fluid.19.1.403 19, 403 (1987).
12. M. K. Smith and S. H. Davis, J. Fluid Mech. JFLSA7 0022-1120 134, 119 (1983).
13. M. K. Smith and S. H. Davis, J. Fluid Mech. JFLSA7 0022-1120 134, 145 (1983).
14. S. Joo, S. H. Davis, and S. Bankoff, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112091000733 230, 117 (1991).
15. S. Joo, S. H. Davis, and S. Bankoff, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112096007720 321, 279 (1996).
16. C. Ruyer-Quil, B. Scheid, S. Kalliadasis, M. G. Velarde, and R. K. Zeytounian, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005005422 538, 199 (2005).
17. S. Kalliadasis, E. A. Demekhin, C. Ruyer-Quil, and M. G. Velarde, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003005809 492, 303 (2003).
18. B. Scheid, C. Ruyer-Quil, U. Thiele, O. A. Kabov, J. C. Legros, and P. Colinet, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004003179 527, 303 (2005).
19. E. Sultan, A. Boudaoud, and M. B. Amar, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005006348 543, 183 (2005).
20. O. A. Kabov, Heat Transfer Res. 27, 221 (1996).
21. O. A. Kabov, Thermophys. Aeromech. 5, 547 (1998).
22. A. M. Frank and O. A. Kabov, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2187949 18, 032107 (2006).
23. S. M. Troian, E. Herbolzehimer, S. A. Safran, and J. F. Joanny, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/10/1/005 10, 25 (1989).
24. J. M. Skotheim, U. Thiele, and B. Scheid, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002001957 475, 1 (2003).
25. S. Kalliadasis, A. Kiyashko, and E. A. Demekhin, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002003014 475, 377 (2003).
26. S. Kalliadasis and G. M. Homsy, J. Fluid Mech. JFLSA7 0022-1120 448, 387 (2001).
27. J. M. Davis and S. M. Troian, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1945627 17, 072103 (2005).
28. M. A. Spaid and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869480 9, 823 (1996).
29. S. Kalliadasis, C. Bielarz, and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870438 12, 1889 (2000).
30. D. V. Zaitsev, O. A. Kabov, and A. R. Evseev, Exp. Fluids EXFLDU 0723-4864 10.1007/s00348-003-0621-1 34, 748 (2003).
31. O. A. Kabov and E. A. Chinnov, Russ. J. Eng. Thermophys. RJETER 1051-8053 7, 1 (1997).
32. J. M. Davis and S. M. Troian, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1564094 15, 1344 (2003).
33. J. M. Davis, B. J. Fischer, and S. M. Troian, in Interfacial Fluid Dynamics and Transport Processes, Lecture Notes in Physics Vol. 628, edited by, R. Narayanan, (Springer-Verlag Heidelberg, New York, 2003), pp. 79-106.
34. J. M. Davis and S. M. Troian, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.016308 67, 016308 (2003).
35. J. M. Davis and S. M. Troian, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046309 70, 046309 (2004).
36. J. M. Davis, D. E. Kataoka, and S. M. Troian, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2345372 18, 092101 (2006).
37. R. O. Grigoriev, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1566958 15, 1363 (2003).
38. L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll, Science SCIEAS 0036-8075 10.1126/science.261.5121.578 261, 578 (1993).
39. B. F. Farrell and P. J. Ioannou, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/1520-0469(1996)053<2025:GSTPIA>2.0.CO;2 53, 2025 (1996).
40. G. H. Golub and C. F. V. Loan, Matrix Computations, 2nd ed. (Johns Hopkins University Press, Baltimore, MD, 1990).
41. R. O. Grigoriev, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.06.015 209, 105 (2005).
42. A. M. Frank, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2234798 18, 078106 (2006).