Vibrations of liquid drops in film boiling phenomena: the mathematical model

TL;DR

This paper develops a mathematical model to analyze the vibrational behaviors of liquid drops in film boiling, predicting frequencies and patterns that match experimental observations.

Contribution

It introduces a new mathematical model for the vibrational motions of liquid drops in film boiling, linking vibrational frequencies to the number of lobes and experimental data.

Findings

Vibrational frequencies correlate with the number of lobes.

Distinct elliptic and hypotrochoid patterns are observed.

Model predictions agree with experimental results.

Abstract

Flattened liquid drops poured on a very hot surface evaporate quite slowly and float on a film of their own vapour. In the cavities of a surface, an unusual type of vibrational motions occurs. Large vibrations take place and different forms of dynamic drops are possible. They form elliptic patterns with two lobes or hypotrochoid patterns with three lobes or more. The lobes are turning relatively to the hot surface. We present a model of vibrating motions of the drops. Frequencies of the vibrations are calculated regarding the number of lobes. The computations agree with experiments.