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. 2020 Nov 26;10:20595. doi: 10.1038/s41598-020-77682-y

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Relations between normalized critical velocities—local minimum velocity, u_min1 and u_min2, and Archimedes number in the upper layer. SET1 and SET2 data are presented. Dashed lines show power-law relationships between u_min1 and Ar_ul for thin and thick disks and solid line shows linear fit between u_min2 and Ar_ul for thin disks.