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Title: | Vortex-dynamical implications of nonmonotonic viscous dissipation of off-center droplet bouncing | Authors: | He, C Xia, X Zhang, P |
Issue Date: | Mar-2020 | Source: | Physics of fluids, Mar. 2020, v. 32, no. 3, 32004 | Abstract: | In this paper, vortex-dynamical perspectives were adopted to interpret the recently reported observation that the total viscous dissipation of off-center droplet bouncing varies nonmonotonically with the impact parameter [C. He, X. Xia, and P. Zhang, "Non-monotonic viscous dissipation of bouncing droplets undergoing off-center collision," Phys. Fluids 31, 052004 (2019)]. The particular interest of this study is on analyzing the velocity and vorticity vector fields and their correlations, such as helicity and enstrophy. The helicity analysis identifies a strong interaction between the "ring-shaped" vortices and the "line-shaped" shear layers in the non-axisymmetric droplet internal flow. A general relation between the total enstrophy and the total viscous dissipation rate for an unsteady free-surface flow was theoretically derived and numerically verified. It shows that the equality between the total enstrophy and the total viscous dissipation rate holds for a single-phase flow confined by stationary boundaries but is not satisfied for a gas-liquid two-phase flow due to the interfacial movement. Both the total enstrophy and a defined "half-domain" helicity show the nonmonotonic variation with the impact parameter, implying their interrelation with the nonmonotonic viscous dissipation. | Publisher: | American Institute of Physics | Journal: | Physics of fluids | ISSN: | 1070-6631 | EISSN: | 1089-7666 | DOI: | 10.1063/5.0003057 | Rights: | © 2020 Author(s). This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in He, C., Xia, X., & Zhang, P. (2020). Vortex-dynamical implications of nonmonotonic viscous dissipation of off-center droplet bouncing. Physics of Fluids, 32(3), 032004 and may be found at https://doi.org/10.1063/5.0003057 |
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