Drying and deposition of poly(ethylene oxide) droplets determined by P\'eclet number

TL;DR

This study investigates how the drying behavior of aqueous PEO droplets depends on the Péclet number, revealing how evaporation and diffusion influence whether droplets form pillars or puddles under various conditions.

Contribution

It introduces a physical model linking droplet drying stages to the Péclet number, systematically analyzing experimental parameters affecting droplet morphology.

Findings

Drying behavior depends primarily on initial concentration and Péclet number.

Four distinct drying stages are identified and modeled.

Droplet morphology can be predicted based on dimensionless parameters.

Abstract

We report results of a detailed experimental investigation into the drying of sessile droplets of aqueous poly(ethylene oxide) (PEO) polymer solutions under various experimental conditions. Samples are prepared with a range of initial concentrations c_0 and are filtered to remove traces of undissolved PEO clusters. In typical experiments, droplets with initial volumes between 5\muL and 50\muL are left to evaporate while temperature and relative humidity are monitored. Droplets either form a disk-like solid "puddle" or a tall conical "pillar". The droplet mass is monitored using a microbalance and the droplet profile is recorded regularly using a digital camera. Subsequent processing of the data allows values of droplet volume V, surface area A, base radius R, contact angle {\theta} and height h to be determined throughout drying. From this data we identify four stages during pillar formation: pinned drying; pseudo-dewetting; bootstrap building; solid contraction and propose physical models to explain key aspects of each stage and to predict the transition from each stage to the next. The experimental parameters of relative humidity, temperature, pressure, droplet volume and initial contact angle are all systematically varied and observed to influence the drying process and consequently whether the droplet forms a pillar or a puddle. We combine these parameters into a dimensionless P\'eclet number Pe, which compares the relative effects of evaporation and diffusion, and show that the drying behaviour is only dependent on c_0 and Pe.