Bubble Growth Rate in Superheated Droplets

TL;DR

This paper presents a simple, universal model for the exponential growth of bubbles in superheated droplets, validated with experimental data, aiming to accurately predict bubble dynamics for pressure calculations.

Contribution

It introduces a straightforward, universal formulation for bubble growth rate R(t) in superheated liquids, verified against experimental data.

Findings

Bubble growth follows an exponential behavior with a universal time constant.

The model aligns well with experimental data from other researchers.

The formulation simplifies the calculation of far-field pressure in superheated liquids.

Abstract

Calculations are presented to describe the dynamic of a growing bubble in a single and simple formulation for R(t). The calculations show clearly that the behavior of the growing bubble is exponentially increasing with the time constant {\tau} showing a universal behavior as a function of the reduced superheat. Experimental data from other researchers are used to verify the description and are in good agreement with the results. The main motivation for this study was to find R(t)that is accurate and at the same time uncomplicated enough in solving the dynamic of the bubble growth to calculate the far-field pressure for superheated liquids.