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Height of a liquid drop on a wetting stripe

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985858%3A_____%2F20%3A00536542" target="_blank" >RIV/67985858:_____/20:00536542 - isvavai.cz</a>

  • Alternative codes found

    RIV/60461373:22340/20:43921602

  • Result on the web

    <a href="http://hdl.handle.net/11104/0314311" target="_blank" >http://hdl.handle.net/11104/0314311</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevE.102.052802" target="_blank" >10.1103/PhysRevE.102.052802</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Height of a liquid drop on a wetting stripe

  • Original language description

    Adsorption of liquid on a planar wall decorated by a hydrophilic stripe of width L is considered. Under the condition that the wall is only partially wet (or dry) while the stripe tends to be wet completely, a liquid drop is formed above the stripe. The maximum height l(m)(delta mu) of the drop depends on the stripe width L and the chemical potential departure from saturation delta mu where it adopts the value l(0) = l(m)(0). Assuming a long-range potential of van der Waals type exerted by the stripe, the interfacial Hamiltonian model is used to show that l(0) is approached linearly with delta mu with a slope which scales as L-2 over the region satisfying L less than or similar to xi(parallel to), where xi(parallel to) is the parallel correlation function pertinent to the stripe. This suggests that near the saturation there exists a universal curve l(m)(delta mu) to which the adsorption isotherms corresponding to different values of L all collapse when appropriately rescaled. Although the series expansion based on the interfacial Hamiltonian model can be formed by considering higher order terms, a more appropriate approximation in the form of a rational function based on scaling arguments is proposed. The approximation is based on exact asymptotic results, namely, that l(m) similar to delta mu(-1/3) for L -> infinity and that ?m obeys the correct delta mu -> 0 behavior in line with the results of the interfacial Hamiltonian model. All the predictions are verified by the comparison with a microscopic density functional theory (DFT) and, in particular, the rational function approximation-even in its simplest form-is shown to be in a very reasonable agreement with DFT for a broad range of both S mu and L.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10403 - Physical chemistry

Result continuities

  • Project

    <a href="/en/project/GA20-14547S" target="_blank" >GA20-14547S: Interfacial and critical phenomena of simple and complex fluids under nano-structured confinement</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review E

  • ISSN

    2470-0045

  • e-ISSN

  • Volume of the periodical

    102

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    9

  • Pages from-to

    052802

  • UT code for WoS article

    000594838300013

  • EID of the result in the Scopus database

    2-s2.0-85097583640