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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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