Gravity-induced collisions of uncharged cloud droplets in an electric field

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Hauptverfasser: Patra, Pijush, Roy, Anubhab
Format: Preprint
Veröffentlicht: 2025
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author Patra, Pijush
Roy, Anubhab
author_facet Patra, Pijush
Roy, Anubhab
contents We investigate the collisions of uncharged, conducting droplets settling under gravity in the presence of an external electric field. Previous studies have derived a near-field asymptotic expression for the electric-field-induced attraction, suggesting that this force can overcome lubrication resistance and drive surface-to-surface contact between two spherical conductors within a finite time. However, for droplets moving in air, traditional lubrication theory breaks down when the inter-droplet gap approaches the mean free path of air molecules. To account for this, we incorporate non-continuum hydrodynamic effects to estimate the gravity-driven collision efficiency under electric-field-induced forces. This study examines how an external electric field influences the trajectories of settling droplet pairs of unequal sizes. By analyzing their motion, we compute collision efficiencies and explore their dependence on droplet size ratio, electric field strength, the angle between the field and gravity, and key dimensionless parameters governing electric-field-induced and van der Waals forces. Our findings reveal that electric-field-induced forces significantly enhance collision efficiency, highlighting their critical role in droplet coalescence dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06688
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravity-induced collisions of uncharged cloud droplets in an electric field
Patra, Pijush
Roy, Anubhab
Fluid Dynamics
We investigate the collisions of uncharged, conducting droplets settling under gravity in the presence of an external electric field. Previous studies have derived a near-field asymptotic expression for the electric-field-induced attraction, suggesting that this force can overcome lubrication resistance and drive surface-to-surface contact between two spherical conductors within a finite time. However, for droplets moving in air, traditional lubrication theory breaks down when the inter-droplet gap approaches the mean free path of air molecules. To account for this, we incorporate non-continuum hydrodynamic effects to estimate the gravity-driven collision efficiency under electric-field-induced forces. This study examines how an external electric field influences the trajectories of settling droplet pairs of unequal sizes. By analyzing their motion, we compute collision efficiencies and explore their dependence on droplet size ratio, electric field strength, the angle between the field and gravity, and key dimensionless parameters governing electric-field-induced and van der Waals forces. Our findings reveal that electric-field-induced forces significantly enhance collision efficiency, highlighting their critical role in droplet coalescence dynamics.
title Gravity-induced collisions of uncharged cloud droplets in an electric field
topic Fluid Dynamics
url https://arxiv.org/abs/2503.06688