Free-surface thin-film flows over uniformly heated topography

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

Volumn 75, Issue 2, 2007, Pages

  Saprykin, Sergey ^a   Trevelyan, Philip M J ^a   Koopmans, Rudy J ^b   Kalliadasis, Serafim ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b DOW BENELUX B V   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FLUID DYNAMICS; NUMERICAL METHODS; PROBLEM SOLVING; RELAXATION PROCESSES; SUBSTRATES;

FREE-SURFACE THIN-FILM FLOWS; HEATED TOPOGRAPHY; TOPOGRAPHICAL SUBSTRATES;

THIN FILMS;

EID: 33846996331     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.026306     Document Type: Article

References (59)

1. S. W. Joo, S. H. Davis, and S. G. Bankoff, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112091000733 230, 117 (1991).
2. A. Oron and P. Rosenau, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1992119 2, 131 (1992).
3. S. Kalliadasis, E. A. Demekhin, C. Ruyer-Quil, and M. G. Velarde, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003005809 492, 303 (2003).
4. P. M. J. Trevelyan and S. Kalliadasis, J. Eng. Math. JLEMAU 0022-0833 10.1007/s10665-004-1016-x 50, 177 (2004).
5. U. Thiele and E. Knoblock, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.048 190, 213 (2004).
6. B. Scheid, C. Ruyer-Quil, U. Thiele, O. A. Kabov, J. C. Legros, and P. Colinet, J. Fluid Mech. JFLSA7 0022-1120 527, 303 (2005).
7. C. Ruyer-Quil, B. Scheid, S. Kalliadasis, M. G. Velarde, and R. Kh. Zeytounian, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005005422 538, 199 (2005).
8. B. Scheid, C. Ruyer-Quil, S. Kalliadasis, M. G. Velarde, and R. Kh. Zeytounian, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005005446 538, 223 (2005).
9. S. Kalliadasis, A. Kiyashko, and E. A. Demekhin, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002003014 475, 377 (2003).
10. B. Scheid, A. Oron, P. Colinet, U. Thiele, and J. C. Legros, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1515270 14, 4130 (2002).
11. J. M. Skotheim, U. Thiele, and B. Scheid, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112002001957 475, 1 (2003).
12. P. M. J. Trevelyan, S. Kalliadasis, J. H. Merkin, and S. K. Scott, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1485761 14, 2402 (2002).
13. P. M. J. Trevelyan and S. Kalliadasis, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1767834 16, 3191 (2004).
14. P. M. J. Trevelyan and S. Kalliadasis, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1767835 16, 3209 (2004).
15. J. P. Burelbach, S. G. Bankoff, and S. H. Davis, J. Fluid Mech. JFLSA7 0022-1120 195, 462 (1988).
16. M. J. Tan, S. G. Bankoff, and S. H. Davis, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857781 2, 313 (1990).
17. J. P. Burelbach, S. G. Bankoff, and S. H. Davis, Phys. Fluids A PFADEB 0899-8213 2, 321 (1990).
18. A. Oron, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870415 12, 1633 (2000).
19. A. Oron, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2108 85, 2108 (2000).
20. U. Thiele, M. G. Velarde, and K. Neuffer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.016104 87, 016104 (2001).
21. M. Bestehorn, A. Potosky, and U. Thiele, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00186-3 33, 457 (2003).
22. U. Thiele, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2004-00009-4 12, 409 (2003).
23. A. Sharma, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2004-00008-5 12, 397 (2003).
24. A. Sharma and R. Verma, Langmuir LANGD5 0743-7463 20, 10337 (2004).
25. S. Kalliadasis, C. Bielarz, and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.870438 12, 1889 (2000).
26. S. Kalliadasis and G. M. Homsy, J. Fluid Mech. JFLSA7 0022-1120 448, 387 (2001).
27. A. Mazouchi and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1401812 13, 2751 (2001).
28. C. M. Gramlich, S. Kalliadasis, G. M. Homsy, and C. Messer, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1476672 14, 1841 (2002).
29. C. Bielarz and S. Kalliadasis, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1590978 15, 2512 (2003).
30. J. M. Davis and S. M. Troian, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1945627 17, 072103 (2005).
31. A. Alexeev, T. Gambaryan-Roisman, and P. Stephan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1936933 17, 062106 (2005).
32. Yu. O. Kabova, A. Alexeev, T. Gambaryan-Roisman, and P. Stephan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2166642 18, 012104 (2006).
33. Liquid Interfacial Systems-Oscillations and Instability, edited by, R. V. Birikh, V. A. Briskman, M. G. Velarde, and, J. C. Legros, (Marcel Dekker, New York, 2003).
34. A. Oron, S. H. Davis, and S. Bankoff, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.69.931 69, 931 (1997).
35. L. W. Schwartz, Langmuir LANGD5 0743-7463 10.1021/la971407t 14, 3440 (1998).
36. L. W. Schwartz and R. R. Eley, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.1998.5448 202, 173 (1998).
37. L. W. Schwartz, R. V. Roy, R. R. Eley, and S. Petrash, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.2000.7312 234, 363 (2001).
38. R. C. Reid, J. M. Prausnitz, and T. K. Sherwood, The Properties of Gases and Liquids (McGraw-Hill, New York, 1977).
39. Handbook of Chemistry and Physics, edited by, D. R. Lide, (CRC Press, Boca Raton, 1993).
40. N. Fraysse and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868263 6, 1491 (1994).
41. O. Sandberg and B. Sundqvist, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.330475 53, 8751 (1982).
42. O. A. Kabov, I. V. Marchuk, and V. M. Chupin, Russ. J. Eng. Thermophys. RJETER 1051-8053 6, 105 (1996).
43. B. Scheid, A. Oron, P. Colinet, U. Thiele, and J. L. Legros, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1515270 14, 4130 (2002).
44. G. Teletzke, H. T. Davis, and L. E. Scriven, Chem. Eng. Commun. CEGCAK 0098-6445 55, 41 (1987).
45. N. Silvi and E. B. Dussan V., Phys. Fluids PFLDAS 0031-9171 10.1063/1.865410 28, 5 (1985).
46. E. Ramé, J. Colloid Interface Sci. JCISA5 0021-9797 185, 245 (1997).
47. S. Saprykin, E. A. Demekhin, and S. Kalliadasis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.224101 94, 224101 (2005).
48. S. Saprykin, E. A. Demekhin, and S. Kalliadasis, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2128607 17, 117105 (2005).
49. S. Saprykin, E. A. Demekhin, and S. Kalliadasis, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2128608 17, 117106 (2005).
50. R. Konnur, K. Kargupta, and A. Sharma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.931 84, 931 (2000).
51. K. Kargupta, R. Konnur, and A. Sharma, Langmuir LANGD5 0743-7463 10.1021/la000759o 16, 10243 (2000).
52. K. Kargupta and A. Sharma, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.2001.7860 245, 99 (2002).
53. A. Sharma, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2004-00008-5 12, 397 (2003).
54. U. Thiele, L. Brush, M. Bestehorn, and M. Bár, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2003-10019-5 11, 255 (2003).
55. D. E. Kataoka and S. M. Troian, Nature (London) NATUAS 0028-0836 10.1038/45521 402, 794 (1999).
56. L. Kondic and J. Diez, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1772732 16, 3341 (2004).
57. L. E. Stillwagon and R. G. Larson, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.340388 63, 5251 (1988).
58. L. E. Stillwagon and R. G. Larson, Phys. Fluids A PFADEB 0899-8213 10.1063/1.857669 2, 1937 (1990).
59. L. M. Peurrung and D. B. Graves, IEEE Trans. Semicond. Manuf. ITSMED 0894-6507 10.1109/66.210660 6, 72 (1993).