Influence of boundary slip on the optimal excitations in thermocapillary driven spreading

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

Volumn 70, Issue 4 2, 2004, Pages

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

^a Princeton University   (United States)

^b University of Massachusetts   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CAPILLARITY; CENTRIFUGATION; CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; HYDROSTATIC PRESSURE; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SHEAR STRESS; SYSTEM STABILITY; THIN FILMS; VISCOSITY;

BOUNDARY SLIP; RIVULET FORMATION; SLIP COEFFICIENTS; THERMOCAPILLARITY;

FLUID MECHANICS;

EID: 41349083308     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046309     Document Type: Article

References (25)

1. D. E. Kataoka and S. M. Troian, J. Colloid Interface Sci. 192, 350 (1997).
2. D. E. Kataoka and S. M. Troian, J. Colloid Interface Sci. 203, 335 (1998).
3. D. E. Kataoka, Ph.D. thesis, Princeton University, 1999.
4. J. M. Davis and S. M. Troian, Phys. Rev. E 67, 016308 (2003).
5. M. A. Spaid and G. M. Homsy, Phys. Fluids 8, 460 (1996).
6. A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
7. H. Greenspan, J. Fluid Mech. 84, 125 (1978).
8. P. J. Schmid, Phys. Plasmas 7, 1788 (2000).
9. D. H. Griffel, Applied Functional Analysis (Ellis Horwood Limited, Chichester, England, 1981).
10. L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll, Science 261, 578 (1993).
11. P. J. Schmid and D. S. Henningson, Stability and Transition in Shear Flows (Springer-Verlag, New York, 2001).
12. J. M. Davis, B. J. Fischer, and S. M. Troian, in Interfacial Fluid Dynamics and Transport Properties, Lecture Notes in Physics Series, edited by R. Narayananand D. Schwabe (Springer-Verlag, Berlin, 2003), p. 79.
13. B. F. Farrell and P. J. Ioannou, J. Atmos. Sci. 53, 2025 (1996).
14. G. H. Golub and C. F. V. Loan, Matrix Computations, 2nd ed. (Johns Hopkins University Press, Baltimore, MD, 1990).
15. L. N. Trefethen, SIAM Rev. 39, 383 (1997).
16. T. Kato, Perturbation Theory for Linear Operators (Springer-Verlag, New York, 1966).
17. A. M. Cazabat, F. Heslot, S. M. Troian, and P. Carles, Nature (London) 346, 824 (1990).
18. P. Carles, S. M. Troian, A. M. Cazabat, and F. Heslot, J. Phys.: Condens. Matter 2, SA477 (1990).
19. J. B. Brzoska, F. Brochard-Wyart, and F. Rondelez, Europhys. Lett. 19, 97 (1992).
20. S. Kalliadasis, J. Fluid Mech. 413, 355 (2000).
21. T. G. Wright and L. N. Trefethen, SIAM J. Sci. Comput. (USA) 23, 591 (2001).
22. K. M. Butler and B. F. Farrell, Phys. Fluids A 4, 1637 (1992).
23. A. L. Bertozzi and M. P. Brenner, Phys. Fluids 9, 530 (1997).
24. P. Carles and A.-M. Cazabat, J. Colloid Interface Sci. 157, 196 (1993).
25. R. O. Grigoriev, Phys. Fluids 15, 1363 (2003).