The relation of steady evaporating drops fed by an influx and freely evaporating drops

Details The relation of steady evaporating drops fed by an influx and freely evaporating drops The relation of steady evaporating drops fed by an influx and freely evaporating drops

2010-08-26

arxiv.org/abs/1008.4526v2

J. Engg. Math. 73, 17-30 (2012)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1007/s10665-011-9485-1

We discuss a thin film evolution equation for a wetting evaporating liquid on a smooth solid substrate. The model is valid for slowly evaporating small sessile droplets when thermal effects are insignificant, while wettability and capillarity play a major role. The model is first employed to study steady evaporating drops that are fed locally through the substrate. An asymptotic analysis focuses on the precursor film and the transition region towards the bulk drop and a numerical continuation of steady drops determines their fully non-linear profiles. Following this, we study the time evolution of freely evaporating drops without influx for several initial drop shapes. As a result we find that drops initially spread if their initial contact angle is larger than the apparent contact angle of large steady evaporating drops with influx. Otherwise they recede right from the beginning.

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