Proceedings of the 9th Mathematics, Science, and Computer Science Education International Seminar (MSCEIS 2023)

Effect of a Small Insoluble Surfactant Concentration on the Shape of a Steady Sessile Drop

Authors
Kartika Yulianti1, *, Agus Yodi Gunawan2
1Mathematics Program Study, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia, Bandung, Indonesia
2Industrial and Financial Mathematics Research Group, Institut Teknologi Bandung, Bandung, Indonesia
*Corresponding author. Email: kartika.yulianti@upi.edu
Corresponding Author
Kartika Yulianti
Available Online 3 September 2024.
DOI
10.2991/978-2-38476-283-5_42How to use a DOI?
Keywords
Asymptotic approximation; Drop Shape; Steady State; Surfactant
Abstract

In this research, we constructed a mathematical model to describe the influence of a surfactant concentration on the shape of a steady sessile drop, more specifically to the alteration of its contact angle. We used the Young-Laplace equation the shape of drop and proposed a model for the distribution of the surfactant at the surface. Both equations are combined and then solved numerically. A constant sessile drop volume is a boundary condition in the model. Results show that a concentration of the surfactant on the drop surface causes the value of the drop’s contact angle to be bigger than the free surfactant one. This result corresponds to the fact that the wettability of a substrate can be altered by the surfactant solution.

Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 9th Mathematics, Science, and Computer Science Education International Seminar (MSCEIS 2023)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
3 September 2024
ISBN
978-2-38476-283-5
ISSN
2352-5398
DOI
10.2991/978-2-38476-283-5_42How to use a DOI?
Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

TY  - CONF
AU  - Kartika Yulianti
AU  - Agus Yodi Gunawan
PY  - 2024
DA  - 2024/09/03
TI  - Effect of a Small Insoluble Surfactant Concentration on the Shape of a Steady Sessile Drop
BT  - Proceedings of the  9th Mathematics, Science, and Computer Science Education International Seminar (MSCEIS 2023)
PB  - Atlantis Press
SP  - 444
EP  - 450
SN  - 2352-5398
UR  - https://doi.org/10.2991/978-2-38476-283-5_42
DO  - 10.2991/978-2-38476-283-5_42
ID  - Yulianti2024
ER  -