Supplementary information files for: Deviations from classical droplet evaporation theory In this article, we show that significant deviations
from the classical quasi-steady models of droplet
evaporation can arise solely due to transient effects
in the gas phase. The problem of fully transient
evaporation of a single droplet in an infinite
atmosphere is solved in a generalised, dimensionless
framework with explicitly stated assumptions. The
differences between the classical quasi-steady and
fully transient models are quantified for a wide range
of the ten-dimensional input domain and a robust
predictive tool to rapidly quantify this difference
is reported. In extreme cases, the classical quasisteady model can overpredict the droplet lifetime by
80%. This overprediction increases when the energy
required to bring the droplet into equilibrium with
its environment becomes small compared to the
energy required to cool the space around the droplet
and therefore establish the quasi-steady temperature
field. In the general case, it is shown that two
transient regimes emerge when a droplet is suddenly
immersed into an atmosphere. Initially the droplet
vaporises faster than classical models predict since the
surrounding gas takes time to cool and to saturate
with vapour. Towards the end of its life, the droplet
vaporises slower than expected since the region
of cold vapour established in the early stages of
evaporation remains and insulates the droplet.
Funding
Innovate UK via the Energy Research Accelerator www.era.ac.uk, Loughborough University and the Royal Academy of Engineering
History
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Mechanical, Electrical and Manufacturing Engineering