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http://hdl.handle.net/10397/95594
Title: | Universality in the viscous-to-inertial coalescence of liquid droplets | Authors: | Xia, X He, C Zhang, P |
Issue Date: | 19-Nov-2019 | Source: | Proceedings of the National Academy of Sciences of the United States of America, 19 Nov. 2019, v. 116, no. 47, p. 23467-23472 | 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. | Keywords: | Droplet coalescence Scaling |
Publisher: | National Academy of Sciences | Journal: | Proceedings of the National Academy of Sciences of the United States of America | ISSN: | 0027-8424 | EISSN: | 1091-6490 | DOI: | 10.1073/pnas.1910711116 | Rights: | This is the accepted manuscript of the following article: Xia, X., He, C., & Zhang, P. (2019). Universality in the viscous-to-inertial coalescence of liquid droplets. Proceedings of the National Academy of Sciences, 116(47), 23467-23472., which has been published in final form at https://doi.org/10.1073/pnas.1910711116. |
Appears in Collections: | Journal/Magazine Article |
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Xia_Universality_Viscous_Inertial.pdf | 1.2 MB | Adobe PDF | View/Open |
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