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Stability in systems with moving contact lines

Published online by Cambridge University Press:  21 April 2006

E. B. Dussan V.
Affiliation:
Schlumberger-Doll Research Laboratory, Ridgefield, CT 06877, USA
S. H. Davis
Affiliation:
Northwestern University, Evanston, IL 60201, USA

Abstract

An energy stability theory is formulated for systems having moving contact lines. The method derives from criteria obtained from the integral mechanical-energy balance manipulated to reflect general material and dynamical properties of moving-contact-line regions. The method yields conditions for both stability and instability and is applied to the two-dimensional Rayleigh-Taylor problem in a vertical slot.

Type
Research Article
Copyright
© 1986 Cambridge University Press

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References

Bach, P. & Hassager, O. 1985 An algorithm for the use of the Lagrangian specification in Newtonian fluid mechanics and applications to free-surface flows. J. Fluid Mech. 152, 173190.Google Scholar
Davis, S. H. 1980 Moving contact lines and rivulet instabilities. Part 1. The static rivulet. J. Fluid Mech. 98, 225240.Google Scholar
Dussan V., E. B. 1975 Hydrodynamic stability and instability of fluid systems with interfaces. Arch. Rat. Mech. Anal. 57, 363379.Google Scholar
Dussan V. E. B. & Davis, S. H. 1974 On the motion of a fluid—fluid interface along a solid surface. J. Fluid Mech. 65, 7195.Google Scholar
Hansen, R. J. & Toong, T. Y. 1971 Dynamic contact angle and its relationship to forces of hydrodynamic origin. J. Colloid Interface Sci. 37, 196207.Google Scholar
Hocking, L. M. & Rivers, A. D. 1982 The spreading of a drop by capillary action. J. Fluid Mech. 121, 425442.Google Scholar
Huh, C. & Mason, S. G. 1977 Effects of surface roughness on wetting (theoretical). J. Colloid Interface Sci. 60, 1138.Google Scholar
Joseph, D. D. 1976 Stability of Fluid Motions II, p. 255ff. Springer.
Kafka, F. Y. & Dussan V., E. B. 1979 On the interpretation of dynamic contact angles in capillaries. J. Fluid Mech. 95, 539565.Google Scholar
Lowndes, J. 1980 The numerical simulation of the steady movement of a fluid meniscus in a capillary tube. J. Fluid Mech. 101, 631645.Google Scholar
Ngan, C. G. 1985 An assessment of the proper modeling assumptions for the spreading of liquids on solid surfaces. Ph.D. thesis, University of Pennsylvania, Department of Chemical Engineering.
Ngan, C. G. & Dussan V., E. B. 1982 On the nature of the dynamic contact angle: an experimental study. J. Fluid Mech. 118, 2740.Google Scholar
Ngan, C. G. & Dussan V., E. B. 1986 The moving contact line. (pending publication).