Theoretical background for simulation of the interfacial layer “liquid-gas”

The study shows that macroscopic approach to the description of surface phenomena used to simulate the interfacial layer as a membrane using Laplace equation allows to calculate the shape of liquid meniscus regardless of the determination of height of liquid elevation in a capillary. The use of van...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-04, Vol.1889 (2), p.22088
Main Authors: Ignatyev, A A, Gotovtsev, V M, Razgovorov, P B
Format: Article
Language:English
Subjects:
Elevation
Equilibrium conditions
Interfacial stresses
Laplace equation
Mathematical analysis
Physics
Stress concentration
Surface tension
Tensors
Thickness
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Summary:The study shows that macroscopic approach to the description of surface phenomena used to simulate the interfacial layer as a membrane using Laplace equation allows to calculate the shape of liquid meniscus regardless of the determination of height of liquid elevation in a capillary. The use of van der Waals statements to describe the state of the medium in the interfacial layer makes it possible to estimate the distribution of molecular pressure along the layer thickness. The tensor of interfacial stresses, represented by a set of ball and deviator parts, is determined based on continuous medium equilibrium conditions. The stresses that form the surface tension of the fluid are deviator components of the tensor. As a result, the study provides the expression linking the parameters of interfacial layer thickness and surface tension of liquid.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1889/2/022088