Modeling Unsteady Bénard-Marangoni Instabilities in Drying Volatile Droplets on a Heated Substrate

Abstract

We study unsteady internal flows in a sessile droplet of capillary size evaporating in constant contact line mode on a heated substrate. Three-dimensional simulations of internal flows in evaporating droplets of ethanol and silicone oil have been carried out. For describing the Marangoni flows we find it necessary to account for the diffusion of vapor in air, the thermal conduction in all three phases and thermal radiation. The equations have been solved numerically by finite element method using ANSYS Fluent. As a result of the simulations, the nonstationary behavior of Bénard-Marangoni (BM) instabilities is obtained. At the first stage, a flower structure of BM cells near the triple line emerge. For smaller contact angles, the cells grow in size and occupy the central region of the droplet surface. Being closely connected with recent experimental and theoretical studies, the results obtained help to analyze and resolve the associated issues.

Numerical model for sessile drop evaporation on heated substrate under microgravity

“…In parallel, Sefiane et al [13] reported secondary instability in sessile drop evaporating under ambient conditions and later Brutin et al [18] presented a series of experiments on heated droplets exhibiting similar patterns. Multiple researcher reported similar instability under various conditions experimentally [17,19,20,21] and numerical simulation are performed to resolved the secondary instability [22,23,24,25].…”