Influence of attractive van der Waals interactions on the optimal excitations in thermocapillary-driven spreading

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

Volumn 67, Issue 1 2, 2003, Pages 163081-163089

  Davis, Jeffrey M ^a   Troian, Sandra M ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; CONTACTS (FLUID MECHANICS); NUMERICAL METHODS; STABILITY; SURFACE TENSION; VAN DER WAALS FORCES;

THERMOCAPILLARY SPREADING;

FLOW OF FLUIDS;

EID: 0038414029     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. C.H. Ho and Y.C. Tai, Annu. Rev. Fluid Mech. 30, 579 (1998).
2. M. Gad-El-Hak, J. Fluids Eng. 121, 5 (1999).
3. D.E. Kataoka and S.M. Troian, Nature (London) 402, 794 (1999).
4. A. A. Darhuber et al., in Micro Total Analysis Systems 2001, edited by J. M. Ramsey and A. van den Berg (Kluwer Academic, Dordrecht 2001), p. 244.
5. S.M. Troian et al., Europhys. Lett. 10, 25 (1989).
6. M.A. Spaid and G.M. Homsy, Phys. Fluids 8, 460 (1996).
7. V.G. Friz and Z.F. Angew, Physik 19, 374 (1965).
8. L.H. Tanner, J. Phys. D 12, 1473 (1979).
9. H. Greenspan, J. Fluid Mech. 84, 125 (1978).
10. D.E. Kataoka and S.M. Troian, J. Colloid Interface Sci. 192, 350 (1997).
11. D.E. Kataoka and S.M. Troian, J. Colloid Interface Sci. 203, 335 (1998).
12. D. E. Kataoka, Ph.D. thesis, Princeton University, 1999.
13. C. Huh and L.E. Scriven, J. Colloid Interface Sci. 35, 85 (1971).
14. A.A. Golovin, B.Y. Rubinstein, and L.M. Pismen, Langmuir 17, 3930 (2001).
15. B.F. Farrell and P.J. Ioannou, J. Atmos. Sci. 53, 2025 (1996).
16. A. Oron, S.H. Davis, and S.O. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
17. A.M. Cazabat, F. Heslot, S.M. Troian, and P. Carles, Nature (London) 346, 824 (1990).
18. J.B. Brzoska, F. Brochard-Wyart, and F. Rondelez, Europhys. Lett. 19, 97 (1992).
19. A. W. Adamson, Physical Chemistry of Surfaces, 5th ed. (Wiley, New York, 1990), p. 53.
20. c differs by a factor of 2 from the quantity defined in Refs. [10] and [11], which used the height averaged speed instead of the surface speed for characterizing the thermocapillary flow.
21. X. Fanton, A.M. Cazabat, and D. Quéré, Langmuir 12, 5875 (1996).
22. P. Carles and A.-M. Cazabat, J. Colloid Interface Sci. 157, 196 (1993).
23. P. Carles, S.M. Troian, A.M. Cazabat, and F. Heslot, J. Phys.: Condens. Matter 2, SA477 (1990).
24. V. Ludviksson and E.N. Lightfoot, AIChE J. 17, 1166 (1971).
25. J.A. Moriarty, L. Schwartz, and E.O. Tuck, Phys. Fluids A 3, 733 (1991).
26. R. T. Goodwin III, Ph.D. thesis, Stanford University, 1991.
27. G. H. Golub and C. F. V. Loan, Matrix Computations, 2nd ed. (Johns Hopkins University Press, Baltimore, MD, 1990).
28. L. N. Trefethen and D. Bau III, Numerical Linear Algebra (SIAM, Philadelphia, PA, 1997).
29. J.A. Diez, L. Kondic, and A. Bertozzi, Phys. Rev. E 63, 011208 (2000).
30. A.L. Bertozzi and M.P. Brenner, Phys. Fluids 9, 530 (1997).
31. L. Kondic and A.L. Bertozzi, Phys. Fluids 11, 3560 (1999).
32. Y. Ye and H.-C. Chang, Phys. Fluids 11, 2492 (1999).