Drop fall-off from pendent rivulets

Journal of Fluid Mechanics

Volumn 338, Issue , 1997, Pages 173-201

  Indeikina, Alexandra ^a   Veretennikov, Igor ^a   Chang, Hsueh Chia ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; CONTACT ANGLE; GRAVITATIONAL EFFECTS; JETS; MATHEMATICAL MODELS;

ASYMPTOTIC ANALYSIS; DROP FALL OFF; PENDENT RIVULETS;

HYDRODYNAMICS;

DROP; FLOW ANALYSIS; HYDRODYNAMICS; VISCOUS FLOW;

EID: 0031136137     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096004879     Document Type: Article

References (26)

1. AUL, R. W. & OLBRICHT, W. L. 1990 Stability of a thin annular film in pressure-driven, low Reynolds-number flow through a capillary. J. Fluid Mech. 215, 585-599.
2. BENJAMIN, T. B. 1957 Wave formation in laminar flow down an inclined plane. J. Fluid Mech. 2, 554-574.
3. BRETHERTON, F. P. 1961 The motion of long bubbles in tubes. J. Fluid Mech. 10, 166-188.
4. CHANG, H. C. 1994. Wave evolution on a falling film. Ann. Rev. Fluid Mech. 26, 103-136.
5. CHANG, H. C., DEMEKHIN, E. A. & KALAIDIN, E. N. 1995 Interaction dynamics of solitary waves on a falling film. J. Fluid Mech. 294, 123-154.
6. CHEN, Y. J. & STEEN, P. H. 1996 Suppression of the capillary instability in the Rayleigh-Taylor slot problem. Phys. Fluids 8, 97-102.
7. CHERHABILI, A. & EHRENSTEIN, U. 1995 Spatially localized two-dimensional finite amplitude states in plane Couette flow. Eur. J. Mech. B/Fluids, 14, 677-696.
8. HAMMOND, P. S. 1983 Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. J. Fluid Mech. 137, 363-384.
9. HUPPERT, H. E. 1982 Flow and instability of a viscous current down a slope. Nature 300, 427-429.
10. JOO, S. W., DAVIS, S. H. & BANKOFF, S. G. 1991a Long-wave instability of heated falling films: two-dimensional theory of uniform layer. J. Fluid Mech. 230, 117-146.
11. JOO, S. W., DAVIS, S. H. & BANKOFF, S. G. 1991b On falling film instabilities and wave breaking. Phys. Fluids A 3, 231-235.
12. KACHANOV, Y. S. 1994 Physical mechanism of laminar boundary layer transition. Ann. Rev. Fluid Mech. 26, 411-483.
13. KALLIADASIS, S., & CHANG, H. C. 1994. Drop formation during coating of vertical fibres. J. Fluid Mech. 26, 411-483.
14. KERCHMAN, V. I. & FRENKEL, A. L. 1994 Interactions of coherent structures in a film flow: simulations of a highly nonlinear evolution equation. Theor. Comput. Fluid Dyn., 6, 235-254.
15. MANNEVILLE, P. 1990 Dissipative Structures and Weak Turbulence. Academic.
16. MCCREADY, M. J., & CHANG, H.-C. 1996 Formation of large disturbances on sheared and falling liquid films. Chem. Engng Commun. 142, 347-359.
17. ORON, A. & ROSENAU, P. 1989 Nonlinear evolution and breaking of interfacial Rayleigh-Taylor waves. Phys. Fluids A 1, 1155-1165.
18. PUMIR, A. MANNEVILLE, P. & POMEAU, Y. 1983 On solitary waves running down an inclined plane. J. Fluid Mech. 135, 27-50.
19. QUERE, D. 1990. Thin films flowing on vertical fibers. Europhys. Lett. 13, 721-726.
20. ROSENAU, P. ORON, A. & HYMAN, J. M. 1992. Bounded and unbounded patterns of the Benney equation. Phys. Fluids, A 4, 1102-1104.
21. ROTHROCK III, D. A. 1968 Study of flows down the underside of an inclined plane. PhD thesis, University of Cambridge.
22. RUSSO, M. J. & STEEN, P. H. 1989 Shear stabilization of the capillary breakup of a cylindrical interface. Phys. Fluids A 1, 1926-1937.
23. VAN HOOK, S. J., SCHATZ, M. F., MCCORMICK, W. D., SWIFT, J. B. & SWINNEY, H. L. 1995 Long-wavelength instability in surface-tension-driven Benard Convection. Phys. Rev. Lett. 75, 4397-4400.
24. WEILAND, R. H. & DAVIS, S. H. 1981 Moving contact lines and rivulet instabilities. Part 2. Long waves on flat rivulets. J. Fluid Mech. 107, 261-280.
25. YIH, C. S. 1963. Stability of liquid flow down an inclined plane. Phys. Fluids 6, 321-334.
26. YOUNG, G. W. & DAVIS, S. H. 1987 Rivulet instabilities. J. Fluid Mech. 176, 1-31.