Theoretical and experimental study of capillary bridges between two parallel planes

Hien Nho Gia Nguyen; Olivier Millet; Chao Fa Zhao; Gérard Gagneux

doi:10.1080/19648189.2019.1706055

Theoretical and experimental study of capillary bridges between two parallel planes

Hien Nho Gia Nguyen^*, Olivier Millet, Chao Fa Zhao, Gérard Gagneux

^*Corresponding author for this work

Engineering Fluid Dynamics

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

21 Downloads (Pure)

Abstract

Based on the solution of Young-Laplace equation using an inverse problem method for unknown capillary pressure, the exact parameterisation of the convex meridional profile of capillary bridges between two planar surfaces is presented in this paper. Mainly, two shapes of liquid bridges are discussed: nodoid and unduloid. In each case, from a set of observable data, we determine the exact parameterisation of the capillary bridges and their associated geometrical properties. The capillary pressure is recovered without direct measurements. The comparisons between the theory and the experiment demonstrate the accuracy of the analytical calculations.

Original language	English
Pages (from-to)	1198-1208
Number of pages	11
Journal	European journal of environmental and civil engineering
Volume	26
Issue number	3
Early online date	9 Jan 2020
DOIs	https://doi.org/10.1080/19648189.2019.1706055
Publication status	Published - 17 Feb 2022

Keywords

Capillary bridge
capillary force
constant mean curvature
experimental measurement
Young-Laplace equation
n/a OA procedure

Access to Document

10.1080/19648189.2019.1706055

Cite this

@article{303c5027d5264dffa7d7cc28446e2138,

title = "Theoretical and experimental study of capillary bridges between two parallel planes",

abstract = "Based on the solution of Young-Laplace equation using an inverse problem method for unknown capillary pressure, the exact parameterisation of the convex meridional profile of capillary bridges between two planar surfaces is presented in this paper. Mainly, two shapes of liquid bridges are discussed: nodoid and unduloid. In each case, from a set of observable data, we determine the exact parameterisation of the capillary bridges and their associated geometrical properties. The capillary pressure is recovered without direct measurements. The comparisons between the theory and the experiment demonstrate the accuracy of the analytical calculations.",

keywords = "Capillary bridge, capillary force, constant mean curvature, experimental measurement, Young-Laplace equation, n/a OA procedure",

author = "Nguyen, {Hien Nho Gia} and Olivier Millet and Zhao, {Chao Fa} and G{\'e}rard Gagneux",

note = "Publisher Copyright: {\textcopyright} 2020, {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2022",

month = feb,

day = "17",

doi = "10.1080/19648189.2019.1706055",

language = "English",

volume = "26",

pages = "1198--1208",

journal = "European journal of environmental and civil engineering",

issn = "1964-8189",

publisher = "Taylor & Francis",

number = "3",

}

TY - JOUR

T1 - Theoretical and experimental study of capillary bridges between two parallel planes

AU - Nguyen, Hien Nho Gia

AU - Millet, Olivier

AU - Zhao, Chao Fa

AU - Gagneux, Gérard

PY - 2022/2/17

Y1 - 2022/2/17

N2 - Based on the solution of Young-Laplace equation using an inverse problem method for unknown capillary pressure, the exact parameterisation of the convex meridional profile of capillary bridges between two planar surfaces is presented in this paper. Mainly, two shapes of liquid bridges are discussed: nodoid and unduloid. In each case, from a set of observable data, we determine the exact parameterisation of the capillary bridges and their associated geometrical properties. The capillary pressure is recovered without direct measurements. The comparisons between the theory and the experiment demonstrate the accuracy of the analytical calculations.

AB - Based on the solution of Young-Laplace equation using an inverse problem method for unknown capillary pressure, the exact parameterisation of the convex meridional profile of capillary bridges between two planar surfaces is presented in this paper. Mainly, two shapes of liquid bridges are discussed: nodoid and unduloid. In each case, from a set of observable data, we determine the exact parameterisation of the capillary bridges and their associated geometrical properties. The capillary pressure is recovered without direct measurements. The comparisons between the theory and the experiment demonstrate the accuracy of the analytical calculations.

KW - Capillary bridge

KW - capillary force

KW - constant mean curvature

KW - experimental measurement

KW - Young-Laplace equation

KW - n/a OA procedure

UR - http://www.scopus.com/inward/record.url?scp=85077864103&partnerID=8YFLogxK

U2 - 10.1080/19648189.2019.1706055

DO - 10.1080/19648189.2019.1706055

M3 - Article

AN - SCOPUS:85077864103

SN - 1964-8189

VL - 26

SP - 1198

EP - 1208

JO - European journal of environmental and civil engineering

JF - European journal of environmental and civil engineering

IS - 3

ER -

Theoretical and experimental study of capillary bridges between two parallel planes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this