MATHEMATICAL TECHNIQUES ON ESTIMATION OF WATER DROPLET VOLUME ON HYDROPHOBIC SURFACE

Main Article Content

Teeranan Nongnual
Sineenart Srimongkol

Abstract

The volumes of droplet on the hydrophobic surface can be calculated to investigate the liquid adsorption efficiency, infiltration rate, and evaporation kinetics. An elaborate method has been recently proposed by calculating the rotation axis of an ellipse, the slope of hydrophobic surface plane, and the integral over spherical coordinate. The result of this method could be done with high accuracy. Since the surface plane slope can be neglected, the hydrophobic surface plane was assumed in this work as a flat line with zero slope. The two-dimensional water droplet figure was likely symmetry, the rotation method is then applied to approximate the water droplet volume.  Moreover, the curve of the water droplet was approximated by a quadratic function. A simplified method to estimate the droplet volume was proposed in this work yielding acceptable accuracy. 

Downloads

Download data is not yet available.

Article Details

Section
Research Articles

References

Birdi, K. S., Vu, D. T., & Winter, A. (1989). A study of the evaporation rates of small water drops placed on a solid surface. The Journal of Physical Chemistry, 93(9), 3702-3703.

García-Magariño, A., Sor, S., Bardera, R., & Muñoz-Campillejo, J. (2021). Interferometric laser imaging for droplet sizing method for long range measurements. Measurement, 168, 108418.

Lu, Y., Sathasivam, S., Song, J., Crick, C. R., Carmalt, C. J., & Parkin, I. P. (2015). Repellent materials. Robust self-cleaning surfaces that function when exposed to either air or oil. Science (New York, N.Y.), 347(6226), 1132–1135.

Srimongkol, S., Pachana P., & Nongnual, T. (2019). Estimation of Water Droplet Volume on Hydrophobic from Two-Dimensional Drop Shape Measurement. Proceeding of the 7th HCU National and Internation Conference, 253-258.

Stewart, J. (2010). Calculus: Early Transcendentals: Cengage Learning.

Sridakul, S., Bunbuchachai, S., Srimongkol, S., Hongvaleerat, C., Pachana, P., Nongnual, T. (2020). Measurement of Water Adsorption Rate on Hydrophobic Coated Porous Materials Using Drop Shape Image Analysis. Proceeding of the 2020 Pure and Applied Chemistry International Conference (PACCON 2020).

Zhang, X., Shi, F., Niu, J., Jiang, Y., & Wang, Z. (2008). Superhydrophobic surfaces: from structural control to functional application. Journal of Materials Chemistry, 18(6), 621-633.