Macro- and microhydrodynamics of a viscous fluid near a superhydrophobic surface

Ageev, A.I.; Osiptsov, A.N.

Авторы: Ageev A.I., Osiptsov A.N.
Журнал: Colloid Journal
Том: 83
Номер: 4
Год издания: 2022
Издательство: Pleiades Publishing, Ltd
Местоположение издательства: Road Town, United Kingdom
Первая страница: 379
Последняя страница: 393
Номер статьи: 2
DOI: 10.1134/S1061933X22040020
Аннотация: Problems associated with the mathematical simulation of viscous fluid flows near textured superhydrophobic surfaces have been discussed. The main attention has been focused on the review of the results obtained recently in the Laboratory of Mechanics of Multiphase Media, Scientific Research Institute of Mechanics, Moscow State University. The key hydrodynamic characteristic of a superhydrophobic surface is the slip tensor, which enters in the formulation of the Navier effective boundary condition, which is used when implementing an averaged macroscale description of viscous fluid flows near superhydrophobic surfaces. Here, the term macroscale means a scale that is much larger than the linear dimensions of the surface texture elements. The first part of the article presents new solutions of the hydrodynamics equations obtained under the slip conditions for the problems concerning the propagation of a liquid film from a localized mass source, the flow of a liquid trickle down an inclined surface, and a liquid flow down the surface of a horizontal cylinder. These solutions are convenient to use for experimental determining the principal components of the slip tensor for superhydrophobic surfaces. The second part of the work is devoted to the development of the boundary integral equation method as applied to the Stokes equations. This method is used to studyflows in the microscale, i.e., the scale of microcavities containing gas bubbles. Numerical solutions have been formulated and studied for a number of shear flows along superhydrophobic surfaces and flows in microchannels with superhydrophobic walls having a striped texture. Microscale parametric studies of the slip tensor coefficients and the phenomenon of a decrease in the drag have been performed on the basis of averaging the obtained solutions. The effects of the geometric parameters of a texture, the curvatures and positions of interfaces in the cavities, and the pulsations of the bubbles in the cavities under the action of imposed harmonic oscillations have been discussed.
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