In this project we modeled micro-encapsulating particles filled with a hydrophilic interior material. These particles are approximately 100 micrometers in width and have expectant applications as 'laboratories in a particle'. Our project focused on the creation of a mathematical model for the interaction of fluids with these particles as well as particle-particle mixing interactions.
For the conclusion of this project we evaluated the predictions of our model to physical experiments. We validated our model based on the theoretical predictions of 2-particle interactions and the way they share the fluid among one another. Additionally we created a probabilistic model for large groups of interacting particles and developed a mixing-time theory which we validated against numerical simulations. Paper in progress.
The first set of images below show how our predictions match up to the expected water volume held in each particle. The second set shows how the numerical simulations of particle group interactions match up to our probabilistic model.
Presented at 2019 APS Division of Fluid Dynamics.