Modeling of Bond Number in Computer Program of Numerical Determination of Surface Tension Coefficient at the Fluid-Gas Interface and Normalization Factor of Gas Bubble

Abstract

The most accurate method for determination of the surface tension coefficient at the liquid-gas
interface is the method proposed by F. Bashforth and J. Adams, using calculated tables of profiles of
dimensionless drop compiled manually in accordance with photographs of real liquid drops of a wide
range of bond number. The manually calculated tables have been replaced in several articles by
computer calculations of the profiles of dimensionless drops. However, these computer calculations
simply duplicated these tables, and in this regard, the determination of the bond number, at least
approximately, corresponding liquid drop was carried out manually, which led to the calculation of
the profile of the liquid drop far from the real image of the liquid drop in the photograph, and thus,
accordingly, precise calculation of the surface tension coefficient at the liquid-gas interface and
normalization factor became impossible. Shoikhedbrod developed an algorithm of accurate numerical
calculation of the surface tension coefficient at the liquid-gas interface and the normalization factor
of a gas bubble in accordance with photographs of a real gas bubble, in which the bond number was
adjusted (simulated) to the bond number corresponding to the real bubble automatically with the help
of a computer with high accuracy that permitted to accurately numerically calculate the coefficient of
surface tension at the liquid-gas interface and the normalizing factor of the bubble, the profile of
which coincided with a high accuracy with the photographic image of the real profile of the bubble
for several seconds. The article presents a computer program written in the Turbo Basic computer
language, compiled in accordance with the algorithm of a previously developed method, which makes
it possible to precisely numerically calculate the coefficient of surface tension at the liquid-gas
interface and the normalizing factor of the bubble, the profile of which coincides with a high accuracy
with the photographic image of the real profile of the bubble and display the results of the calculation
on the computer screen for a few seconds.