External Menisci on Thin Inclined Fibers with Circular Cross-section (the Case of Full Wetting)

An analytical solution is constructed for the problem of determining the configuration of external menisci that forms on the surface of a liquid when a thin inclined fiber with circular cross-section is immersed in this liquid. It is assumed that the liquid completely wets the fiber. We found that the fiber inclination leads to an asymmetry of both the contact line and the meniscus as a whole. It is shown that the maximum of the liquid rise increases with increasing angle of inclination of the fiber from the vertical. At the same time, some part of the meniscus falls even below the horizontal level of the initially undisturbed liquid.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2025-09-01
DOI
https://doi.org/10.1134/s199508022560921x
Primary Topic
Surface Modification and Superhydrophobicity
Type
article
Field-Weighted Citation Impact
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article

External Menisci on Thin Inclined Fibers with Circular Cross-section (the Case of Full Wetting)

M. M. Alimov
Lobachevskii Journal of Mathematics
Surface Modification and Superhydrophobicity
article

External Menisci on Thin Inclined Fibers with Circular Cross-section (the Case of Full Wetting)

M. M. Alimov
article en

Abstract

An analytical solution is constructed for the problem of determining the configuration of external menisci that forms on the surface of a liquid when a thin inclined fiber with circular cross-section is immersed in this liquid. It is assumed that the liquid completely wets the fiber. We found that the fiber inclination leads to an asymmetry of both the contact line and the meniscus as a whole. It is shown that the maximum of the liquid rise increases with increasing angle of inclination of the fiber from the vertical. At the same time, some part of the meniscus falls even below the horizontal level of the initially undisturbed liquid.

Lobachevskii Journal of MathematicsVol. 46(9)
Independent University of Moscow (RU)
Openalex Percentile: Top 39%
Surface Modification and Superhydrophobicity
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