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Universality in the viscous-to-inertial coalescence of liquid droplets.

ABSTRACT: We present a theory on the coalescence of 2 spherical liquid droplets that are initially stationary. The evolution of the radius of a liquid neck formed upon coalescence was formulated as an initial value problem and then solved to yield an exact solution without free parameters, with its 2 asymptotic approximations reproducing the well-known scaling relations in the inertially limited viscous and inertial regimes. The viscous-to-inertial crossover observed in previous research is also recovered by the theory, rendering the collapse of data of different viscosities onto a single curve.

SUBMITTER: Xia X

PROVIDER: S-EPMC6876233 | biostudies-literature | 2019 Nov

REPOSITORIES: biostudies-literature

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Universality in the viscous-to-inertial coalescence of liquid droplets.

Xia Xi X He Chengming C Zhang Peng P

Proceedings of the National Academy of Sciences of the United States of America 20191105 47

We present a theory on the coalescence of 2 spherical liquid droplets that are initially stationary. The evolution of the radius of a liquid neck formed upon coalescence was formulated as an initial value problem and then solved to yield an exact solution without free parameters, with its 2 asymptotic approximations reproducing the well-known scaling relations in the inertially limited viscous and inertial regimes. The viscous-to-inertial crossover observed in previous research is also recovered ...[more]

PMID: 31690659

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