# Fabrication of Monodisperse Toroidal Particles by Polymer Solidification in Microfluidics

Original entry: Tamas Szalay (APPHY225 2012)

"Fabrication of Monodisperse Toroidal Particles by Polymer Solidification in Microfluidics"

Baoguo Wang, Ho Cheung Shum, and David A. Weitz

ChemPhysChem 2009, 10, 641–645

## Summary

In this article, the authors describe a means of fabricating toroidal particles by solidifying droplets in a particular fluid flow. They use a variety of polymers to form the toroids, and examine the resulting distributions of particle sizes as a function of the experimental parameters.

[overview image]

## Soft matter keywords

emulsion, micelle, polymer, microfluidics

## Toroid Synthesis

The general experimental setup can be seen in part (a) of the image above, with a nozzle supplying droplets of polymer solution which are then carried down a microfluidic channel. The solidification of the polymer solution occurs by solvent diffusion into the bulk. In all experiments, the continuous phase is PDMS oil and the solvent is DMF (N,N-dimethylformamide).

The diffusion rate of the solvent is measured and analyzed by looking at the particle size ratios as a function of the lengthwise travel down the channel away from the nozzle. It can be seen in the chart that there is a sudden discontinuous jump in (a) where the particles solidify (and the solvent phase separates), about 2.6 cm away from the capillary nozzle. In (b) there are just droplets of DMF, showing the bulk diffusion rate, and in (c) there are droplets with DMF-saturated bulk PDMS, such that no shrinking occurs.

[image of chart]

The stipulated mechanism of toroid formation is as follows: the laminar flow regime in the tube sets up a nonuniform (parabolic) flow rate profile. The presence of the drop modifies this profile, such that the liquid in the center of the drop is more stagnant and the liquid on the outside edges is moving faster. As a result, the solvent is carried away more rapidly at the outside edges, causing the polymer to concentrate there. As a result, the center of the droplet gradually gets thinner and eventually breaks and forms a hole; eventually, the entire droplet solidifies. This is demonstrated in the chart below, which shows the effects of different flow rates on the droplet morphology. Most notably, you can see that the slowest rate leads to near-spherical particles. The inset demonstrates how narrow the distribution is for a flow rate of $10000 \mu L/hr$.

[morphology images]