We report the results of physical experiments that demonstrate the strong influence of the thermal conductivity of the substrate on the evaporation of a pinned droplet. We show that this behaviour can be captured by a mathematical model including the variation of the saturation concentration with temperature, and hence coupling the problems for the vapour concentration in the atmosphere and the temperature in the liquid and the substrate. Furthermore, we show that including two ad hoc improvements to the model, namely a Newton's law of cooling on the unwetted surface of the substrate and the buoyancy of water vapour in the atmosphere, give excellent quantitative agreement for all of the combinations of liquid and substrate considered.
- substrate conductivity
- droplet evaporation
Dunn, G., Wilson, S. K., Duffy, B. R., David, S., & Sefiane, K. (2009). The strong influence of substrate conductivity on droplet evaporation. Journal of Fluid Mechanics, 623, 329-351. https://doi.org/10.1017/S0022112008005004