Review of Methods of Numerical Calculation of Surface Tension Coefficient at the Fluid-Gas Interface

Abstract

Among the existing experimental and theoretical methods of calculation of the surface tension coefficient at the liquid-gas interface, the most accurate is the method proposed by F. Bashforth and J. Adams, using tables for calculation of the profiles of dimensionless drops, compiled in accordance with photographs of real liquid drops of a wide range of Bond numbers and contact angles manually. In the existing interpretations of this method, these tables are replaced by computer calculations of the profiles of dimensionless drops. However, due to the fact that these methods simply duplicate these tables, and the choice of the calculated Bond numbers of liquid drops is performed manually, an accurate calculation of the profile of a liquid drop, which corresponds to the real image of a liquid drop, and, accordingly, an accurate calculation of the surface tension coefficient at the interface liquid-gas is not possible.The paper describes a new method for accurate numerical calculation of the surface tension coefficient at the liquid-gas interface of a liquid drop in accordance with photographs of a real liquid drop, in which the Bond number correction, corresponding to the Bond number of real drop of liquid is performed automatically by a computer with high accuracy, which allows an accurate numerical calculation of the surface tension coefficient at the liquid-gas interface of a liquid drop, the profile of which coincides with a high accuracy with a photographic image of the real profile of a liquid drop within a few seconds.

Keywords: Surface tension coefficient, fluid-gas interface, Drop image, Computer  Numerical calculations, Bond numbers.