Abstract
The slip effect in wetting films is theoretically studied, and a nonlinear dependence of the hydrodynamic velocity on the slip length is discovered. It is demonstrated that the hydrodynamic flow is essentially affected by the presence of a nonuniform slip length distribution, leading also to enhancement of the energy dissipation in the films. This effect could dramatically slow the usually quick hydrodynamic flows over superhydrophobic surfaces, for instance.
Highlights
The interest in thin liquid films has gradually increased from the middle of the previous century due to the importance of disperse systems—such as foams, emulsions and suspensions—to technology.The film studies split naturally into thermodynamic forces and hydrodynamic stability or rupture [1,2,3].By the onset of nanotechnology in the present century, the flow in wetting films has attracted enormous attention as an essential process in the modern micro- and nano-fluidics [4,5,6]
The engineering interest turns toward superhydrophobic surfaces, where the slip effect is even more pronounced [10,11]
Because such surfaces are intrinsically nonuniform, it is a challenge to develop a theory for the slip effect oven nonuniform surfaces
Summary
The interest in thin liquid films has gradually increased from the middle of the previous century due to the importance of disperse systems—such as foams, emulsions and suspensions—to technology. The present study aims to explore the nonlinear effect of a nonuniform slip on a structured surface to the flow in thin wetting films. The complexity of the latter causes an increase in the energy dissipation, which is an important parameter to control during wetting, spreading, coating, etc. This could essentially affect some modern systems such as ionic liquids [15] and industrial polymers [16,17]
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