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The spreading of a liquid on a rough solid surface

Published online by Cambridge University Press:  20 April 2006

R. G. Cox
R. G. Cox
Affiliation:
Pulp and Paper Research Institute of Canada and Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada
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Abstract

The equilibrium configurations of a liquid spreading on a rough solid surface are derived by making expansions in terms of the characteristic slope ε of the surface roughness, which is assumed to be very small. It is also assumed that the microscopic contact angle is a constant and that the liquid–air interface is planar at large distances from the contact line. Expressions for the value of the macroscopic contact angle and a discussion of the existence of contact-angle hysteresis and of stick-jump behaviour of the contact line are given for (i) surfaces with parallel grooves, (ii) surfaces with periodicity in two perpendicular directions and (iii) general non-period surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 131 , June 1983 , pp. 1 - 26
Copyright
© 1983 Cambridge University Press

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