Predicting the size of droplets produced through Laplace pressure induced snap-off

TL;DR

This paper introduces a simple, adaptable model to predict droplet sizes in Laplace pressure driven snap-off across various flow rates, considering geometry, interfacial tension, and viscosities.

Contribution

A new model extends droplet size prediction beyond low flow limits, capturing stability dynamics over a broad flow rate range.

Findings

Model accurately predicts droplet sizes at different flow rates.

Droplet stability depends on size and growth rate.

The model incorporates adjustable experimental parameters.

Abstract

Laplace pressure driven snap-off is a technique that is used to produce droplets for emulsions and microfluidics purposes. Previous predictions of droplet size have assumed a quasi-equilibrium low flow limit. We present a simple model to predict droplet sizes over a wide range of flow rates, demonstrating a rich landscape of droplet stability depending on droplet size and growth rate. The model accounts for the easily adjusted experimental parameters of geometry, interfacial tension, and the viscosities of both phases.