Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-16T12:13:16.720Z Has data issue: false hasContentIssue false
  • English
  • Français

On the ability of drops or bubbles to stick to non-horizontal surfaces of solids

Published online by Cambridge University Press:  20 April 2006

E. B. Dussan V.  and
Robert Tao-Ping Chow
E. B. Dussan V.
Affiliation:
Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104
Robert Tao-Ping Chow
Affiliation:
Department of Chemical Engineering, University of Pennsylvania, Philadelphia, PA 19104
Get access Rights & Permissions [Opens in a new window]

Abstract

It is common knowledge that relatively small drops or bubbles have a tendency to stick to the surfaces of solids. Two specific problems are investigated: the shape of the largest drop or bubble that can remain attached to an inclined solid surface; and the shape and speed at which it moves along the surface when these conditions are exceeded. The slope of the fluid-fluid interface relative to the surface of the solid is assumed to be small, making it possible to obtain results using analytic techniques. It is shown that from both a physical and mathematical point of view contact-angle hysteresis, i.e. the ability of the position of the contact line to remain fixed as long as the value of the contact angle θ lies within the interval θR [les ] θ [les ] θA, where θA [nequiv ] θR, emerges as the single most important characteristic of the system.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 137 , December 1983 , pp. 1 - 29
Copyright
© 1983 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. NBS Applied Maths Series 55.
Bikerman, J. J. 1950 Sliding of drops from surfaces of different roughnesses J. Colloid Sci. 5, 349.Google Scholar
Blake, T. D. & Haynes, J. M. 1969 Kinetics of liquid/liquid displacement J. Colloid Interface Sci. 30, 421.Google Scholar
Brown, R. A., Orr, F. M. & Scriven, L. E. 1980 Static drop on an inclined plate: analysis by the finite element method. J. Colloid Interface Sci. 73, 76.Google Scholar
Dussan V. E. B. 1976 The moving contact line: the slip boundary condition. J. Fluid Mech. 77, 665.Google Scholar
Furmidge, C. G. L. 1962 Studies at phase interfaces. I. The sliding of liquid drops on solid surfaces and a theory for spray retention J. Colloid Sci. 17, 309.Google Scholar
Greenspan, H. P. 1978 On the motion of a small viscous droplet that wets a surface J. Fluid Mech. 84, 125.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, 196.Google Scholar
Hocking, L. M. 1981 Sliding and spreading of thin two-dimensional drops Q. J. Mech. Appl. Maths 34, 37.Google Scholar
Huh, C. & Mason, S. G. 1977 The steady movement of a liquid meniscus in a capillary tube J. Fluid Mech. 81, 401.Google Scholar
Johnson, D. R. 1973 Spreading and retention of agricultural sprays on foliage. Pesticide Formulations (ed. W. Van Valkenburg), p. 343. Marcel Dekker.
Kafka, F. Y. & Dussan V. E. B. 1979 On the interpretation of the dynamic contact angle in capillaries J. Fluid Mech. 95, 539.Google Scholar
Lowndes, J. 1980 The numerical simulation of the steady movement of a fluid meniscus in a capillary tube J. Fluid Mech. 101, 631.Google Scholar
Macdougall, G. & Ockrent, C. 1942 The adhesion of liquids to solids and a new method of determining the surface tension of liquids. Proc. R. Soc. Lond. A 180, 151.Google Scholar
Neumann, A. W., Abdelmessih, A. J. & Hameed, A. 1978 The role of contact angles and contact angle hysteresis in dropwise condensation heat transfer Intl J. Heat Mass Transfer 21, 947.Google Scholar
Ngan, C. G. & Dussan V. E. B. 1982 On the nature of the dynamic contact angle: an experimental study. J. Fluid Mech. 118, 27.Google Scholar
Sadhal, S. S. & Plesset, M. S. 1979 Effect of solid properties and contact angle in dropwise condensation and evaporation. Trans. ASME C: J. Heat Transfer 101, 48.Google Scholar