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.
Keywords
Contact anglePerpendicularMaterials scienceSurface (topology)JumpPlanarSurface finishHysteresisRough surfaceSolid surfaceMechanicsLine (geometry)OpticsGeometryCondensed matter physicsPhysicsComposite materialMathematics
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Publication Info
- Year
- 1983
- Type
- article
- Volume
- 131
- Pages
- 1-26
- Citations
- 105
- Access
- Closed
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Cite This
R. G. Cox
(1983).
The spreading of a liquid on a rough solid surface.
Journal of Fluid Mechanics
, 131
, 1-26.
https://doi.org/10.1017/s0022112083001214
Identifiers
- DOI
- 10.1017/s0022112083001214