DS Journal of Modeling and Simulation (DS-MS)

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Volume 3 | Issue 2 | Year 2025 | Article Id: MS-V3I2P101 DOI: https://doi.org/10.59232/MS-V3I2P101

Numerical Modeling of Coefficient of Surface Tension at Fluid Gas Interface

M. Shoikhedbrod, I. Shoikhedbrod

ReceivedRevisedAcceptedPublished
04 Feb 202503 Mar 202502 Apr 202530 Apr 2025

Citation

M. Shoikhedbrod, I. Shoikhedbrod. “Numerical Modeling of Coefficient of Surface Tension at Fluid Gas Interface.” DS Journal of Modeling and Simulation, vol. 3, no. 2, pp. 1-9, 2025.

Abstract

Among the known experimental and theoretical methods for calculating the coefficient of surface tension at the boundary of liquid-gas phases, the most suitable is the technique used by F. Bashforth and J. Adams, applying tables for calculating profiles of dimensionless drops, compiled from photographs of existing liquid drops of a wide diapason of numbers of Bond and edge angles of wetting by hand. The tables, compiled by this technique, were exchanged in many articles on computer calculations of the shapes of dimensionless drops. These computer calculations duplicated these tables, and in connection with this, the determination of the Bond number, at least approximately, of the corresponding liquid drop, was carried out manually, which led to the fact that the calculation of the liquid drop profile was far from the real image of the liquid drop in the photograph, and, accordingly, an accurate calculation of the coefficient of surface tension at the boundary of liquid-gas phases became impossible. The author proposed a newly developed method for the accurate numerical modeling of the coefficient of surface tension at the boundary of liquid-gas phases of a drop of liquid based on photographs of a real drop of liquid, in which the Bond number was adjusted to the corresponding Bond number of a real drop of liquid automatically by a computer with high accuracy, which made it possible to accurately numerically model the coefficient of surface tension at the boundary of liquid-gas phases of a drop of liquid, the profile of which coincided with high accuracy with the photo image of the shape of a real drop within a few seconds. The article presents a computer program, written in the Turbo Basic computer language, compiled by the algorithm of a previously developed model, which makes it possible to accurately numerically model the coefficient of surface tension at the boundary of liquid-gas phases of a drop of liquid, the profile of which coincided with a high accuracy with the photo image of the shape of a real drop, and display the calculation results of the model on the computer screen within a few seconds.

Keywords

The coefficient of surface tension, Boundary of liquid-gas phases, Drop image, Computer numerical modeling, Bond numbers.

References

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Numerical Modeling of Coefficient of Surface Tension at Fluid Gas Interface