PreprintarXiv licencearXiv
Resolved multiple-droplet evaporation
Abstract
A simple, accurate asymptotic formula is derived for the spatially resolved evaporative flux from multiple spherical-cap droplets of arbitrary contact angle. Kelvin transforms are used to determine the exact response of a spherical-cap droplet to a point source, with extensions to higher multipoles. This yields explicit formulae for evaporative shielding and reveals a universal spatial structure in the point-source problem. Resolving the spatial variation enables the determination of the associated liquid flow and particle transport. The resulting flux is used to derive an explicit measure of shielding-induced liquid transport.
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BibTeX
@misc{wray2026resolved,
title = {{Resolved multiple-droplet evaporation}},
author = {Alexander W Wray},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24866},
eprint = {2609.24866},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24866},
}
RIS
TY - UNPB
TI - Resolved multiple-droplet evaporation
AU - Alexander W Wray
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.24866
UR - https://arxiv.org/abs/2609.24866
AB - A simple, accurate asymptotic formula is derived for the spatially resolved evaporative flux from multiple spherical-cap droplets of arbitrary contact angle. Kelvin transforms are used to determine the exact response of a spherical-cap droplet to a point source, with extensions to higher multipoles. This yields explicit formulae for evaporative shielding and reveals a universal spatial structure in the point-source problem. Resolving the spatial variation enables the determination of the associated liquid flow and particle transport. The resulting flux is used to derive an explicit measure of shielding-induced liquid transport.
ER -