Eccentricity of Soap Bubble Between Parallel Plates

Abstract

This work; creates a model to show the eccentricity of the soap bubbles and the tension relationship between the plates. The study aims to make a modest contribution to the comprehensive field of minimal surfaces.

An experimental model study was conducted in the research. The conclusions reached as a result of the findings obtained;

The height and width of soap bubbles between parallel plates are quadratic functions of the tension between the plates, and as the tension increases, the height increases and the width decreases.

The shape of the soap bubble in the electric field of the parallel plate is part of the ellipsoid and its eccentricity is proportional to the voltage.

The deformation of the soap bubble is the balance between surface tension and electric field strength, analysis of the force balance of the soap bubble model can be used to determine the relationship between the curvature of the soap bubble model and the surface charge density.

The study establishes a theoretical model that proposes a method to calculate the shape of soap bubbles and actually discusses it through numerical simulation, finally obtaining the proportional relationship between the eccentricity of the soap bubble and the stress, which is quite close to the experimental data.

The next researcher might study the jerky states of soap bubbles in electric fields. It can investigate the equivalent elasticity coefficient of the system and the oscillation frequency of the soap bubble by observing the micro-oscillation frequency of soap bubbles under different DC electric fields of the system or their forced oscillation in a time-varying electric field.