A porous media approach to the evaporation of droplets containing particles

In this talk, we present a mathematical model for the evaporation of droplets containing particles based on continuum and thermodynamically consistent theories for porous media-clear fluid flows. According to our approach, a collection of particles, when homogenized appropriately, can be treated as porous medium that is nevertheless prone to compaction. With this premise, the two phases (liquid and porous medium) can be treated as thermodynamic continua that are allowed to interact with each other in the form of mass, momentum and energy exchanges. We will at first delineate the theoretical foundations and give a brief derivation of the mathematical equations. Particular emphasis will be paid to the compaction equation that governs the porosity evolution and the analogies that can be drawn from continuum theories of granular mixtures. The talk will conclude with a first characterization of the resulting governing equations and a discussion on numerical and theoretical implications.