Apparent contact angle of drops on liquid infused surfaces: geometric interpretation

Ciro Semprebon; Muhammad Subkhi Sadullah; Glen McHale; Halim Kusumaatmaja

doi:10.1039/d1sm00704a

Apparent contact angle of drops on liquid infused surfaces: geometric interpretation

Ciro Semprebon^*, Muhammad Subkhi Sadullah, Glen McHale, Halim Kusumaatmaja^*

^*Corresponding author for this work

Mathematics, Physics and Electrical Engineering

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

18 Citations (Scopus)

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Abstract

We theoretically investigate the apparent contact angle of drops on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited drop. We provide an intuitive geometrical interpretation whereby the variation in the apparent contact angle is due to the rotation of the Neumann triangle at the lubricant-drop-gas contact line. We also derive linear and quadratic corrections to the apparent contact angle as power series expansion in terms of pressure differences between the lubricant, drop and gas phases. These expressions are much simpler and more compact compared to those previously derived by Semprebon [ , 2017, , 101-110].

Original language	English
Pages (from-to)	9553-9559
Number of pages	7
Journal	Soft Matter
Volume	17
Issue number	42
Early online date	19 Aug 2021
DOIs	https://doi.org/10.1039/d1sm00704a
Publication status	Published - 14 Nov 2021

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title = "Apparent contact angle of drops on liquid infused surfaces: geometric interpretation",

abstract = "We theoretically investigate the apparent contact angle of drops on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited drop. We provide an intuitive geometrical interpretation whereby the variation in the apparent contact angle is due to the rotation of the Neumann triangle at the lubricant-drop-gas contact line. We also derive linear and quadratic corrections to the apparent contact angle as power series expansion in terms of pressure differences between the lubricant, drop and gas phases. These expressions are much simpler and more compact compared to those previously derived by Semprebon [ , 2017, , 101-110].",

author = "Ciro Semprebon and Sadullah, {Muhammad Subkhi} and Glen McHale and Halim Kusumaatmaja",

note = "Funding information: CS acknowledges support from Northumbria University through the Vice-Chancellor{\textquoteright}s Fellowship Programme and EPSRC (EP/S036857/1) for funding. MSS is supported by funding from King Abdullah University of Science and Technology (KAUST) under the award number BAS/1/1070-01-01. HK acknowledges funding from EPSRC (EP/V034154/1).",

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doi = "10.1039/d1sm00704a",

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AU - McHale, Glen

AU - Kusumaatmaja, Halim

N1 - Funding information: CS acknowledges support from Northumbria University through the Vice-Chancellor’s Fellowship Programme and EPSRC (EP/S036857/1) for funding. MSS is supported by funding from King Abdullah University of Science and Technology (KAUST) under the award number BAS/1/1070-01-01. HK acknowledges funding from EPSRC (EP/V034154/1).

PY - 2021/11/14

Y1 - 2021/11/14

N2 - We theoretically investigate the apparent contact angle of drops on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited drop. We provide an intuitive geometrical interpretation whereby the variation in the apparent contact angle is due to the rotation of the Neumann triangle at the lubricant-drop-gas contact line. We also derive linear and quadratic corrections to the apparent contact angle as power series expansion in terms of pressure differences between the lubricant, drop and gas phases. These expressions are much simpler and more compact compared to those previously derived by Semprebon [ , 2017, , 101-110].

AB - We theoretically investigate the apparent contact angle of drops on liquid infused surfaces as a function of the relative size of the wetting ridge and the deposited drop. We provide an intuitive geometrical interpretation whereby the variation in the apparent contact angle is due to the rotation of the Neumann triangle at the lubricant-drop-gas contact line. We also derive linear and quadratic corrections to the apparent contact angle as power series expansion in terms of pressure differences between the lubricant, drop and gas phases. These expressions are much simpler and more compact compared to those previously derived by Semprebon [ , 2017, , 101-110].

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DO - 10.1039/d1sm00704a

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Apparent contact angle of drops on liquid infused surfaces: geometric interpretation

Abstract

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