IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND MATHEMATICAL THEORY (IJCSMT )

E-ISSN 2545-5699
P-ISSN 2695-1924
VOL. 11 NO. 5 2025
DOI: 10.56201/ijcsmt.vol.11.no5.2025.pg1.9

---

Mathematical Analysis of Suction and Surfactant in Microdroplets

Badejo Oduyomi Michael

---

Abstract

Microdroplets have emerged as a versatile platform for chemical and biological reactions, with applications in fields such as drug delivery, synthesis and cosmetic applications. However, the dynamics of suction and surfactants in microdroplets remain poorly understood, hindering the optimization of the systems. This study presents a mathematical analysis of suction and surfactant dynamics in microdroplets, with a focus on the role of surfactants as determinants of the rate of reaction. The model captures the interplay between surfactant transport, interfacial tension, and fluid flow, revealing the complex mechanisms governing microdroplet behavior. As the suction parameter (? 0) increases the velocity also increases but the velocity reduces as the surface tension increases. The presence of surfactant at interface reduces the surface force. The results of this study have important applications for the design and optimization of microdroplet-based systems.

keywords:

Surface tension, pressure gradient, surfactant, micro droplets and Suction Parameter.

---

References:

Badejo O. M. and Usman M. A., (2019). Magnetic field effects on reactive flow in rotating
concentric cylinder. The Coast Journal Faculty of Science, 2(1), 288-295
Wu N, Zhu Y, Leech P. W, B.A. Sexton B. A, Brown S and Easton C., (2007). Effects of surfactants
on the formation of microdroplets in the flow focusing microfluidic device. The
International Society for Optical Engineering,
https://www.researchgate.net/publication/224285853
Liu J, Yap Y. F and Nguyen N., (2009). Behaviour of microdroplets in diffuser/nozzle structures.
Microfluid Nanofluid, DOI 10.1007/s10404-008-0358-5
Schramm L. L, Stasiukb E. N and Marangoni D. G., (2003). Surfactants and their Applications.
Annual Reports Section C (Physical Chemistry): DOI: 10.1039/B208499
Badejo O. M. and Usman M. A (2019). Magnetic field effects on reactive flow in rotating
concentric cylinder. The Coast Journal Faculty of Science, 2(1), 288-295.
Badejo O. M. and Usman M. A., (2015). Modelling of surface tension of micro droplets with
different pressure gradients. Journal of Scientific Research and Studies, Vol. 2(6), 135-144
Manjula D, Rathi A, Pradeep T, Indumathi N, Swapna B, Kavitha G, Mythreyee M, Nagarajan A.,
(2025). A Mathematical Model for Enhancing Safety in Face Creams for Tamil Nadu
Women. https://www.researchgate.net/publication/389459424
Adela M, Delia P. M, And Andra T., (2023). The Method of Studying Cosmetic Creams Based on
the Principles of Systems Theory and Mathematical Modeling Techniques. Cosmetics, 10,
118. https://doi.org/10.3390/cosmetics10050118
Usman M. A. and Badejo O. M (2019). Effects of pressure gradient on reactive flow in rotating
concentric cylinder. The Coast Journal Faculty of Science, 1 (2), 225-231.
Usman M. A and Badejo O. M., (2015). Modeling of surface tension and surfactant of micro
droplets with suction. Journal of Scientific Research and Studies Vol. 2(6), 145-156
Usman M. A. and Badejo O. M., (2019). Effects of pressure gradient on reactive flow in rotating
concentric cylinder. The Coast Journal Faculty of Science, 1 (2), 225-231
Usman, M. A., Hammed, F. A., Daniel, D. O., Okusaga, S. T & Badejo, O. M (2020). On the
response of vibration analysis of beam subjected to moving force and moving mass.
African Journal of Science and Nature, (10), 88-96.
Usman, M. A. Shittu, M T, Hammed, F A, Solanke, O. O. and Badejo, O. M, (2020). Solving
Linear and Nonlinear Klein-Gordon Equations Using Four Effective Methods. Africa
Journal of science and Nature. (11), 64-73.
Badejo O. M. & Ogunbamike O. K (2024). Analysis of A Reactive Flow in Rotating Concentric
Cylinders. African Journal of Mathematics and Statistics Studies, 7(3): 95-108
Akanbi M. A, Bagbe A, Ogunbamike O. K, Omotayo-Tomo M. S, Badejo O. M, Abolade O. S,
(2024). Influence of Socio-Demographic Factors on Care types Received by Elderly people
in Irele LGA, Ondo State, Nigeria. International Journal of Advanced Multidisciplinary
Research and Studies, 4(6): 1258-1262.
Bagbe, Atinuke, Badejo, Oduyomi Michael and Ayodeji Samson Bagbe. (2019). Statistical
Analysis of Ebola Virus Disease outbreak in Some West Africa Countries using S-I-R
Model. Annals Biostatistics and Biometric Applications, 2(3), 1-7.

DOWNLOAD PDF

---

Back