Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Fractal interface of a spreading drop and maximum entropy production principle
AU - Martyushev, Leonid
AU - Martyushev, Lev L.
N1 - This work was partially supported by the Ministry of Science and Higher Education of the Russian Federation (through the basic part of the government mandate, Project No. FEUZ-2023-0013).
PY - 2023
Y1 - 2023
N2 - The viscous spreading of a small liquid drop on a surface, where moving interface changes from circular to fractal, starting at a certain size, is considered. Based on the maximum entropy production principle, the analytical relation between the critical size of the morphological stability of a circular drop and the fractal dimension of the structure that appears during spreading is obtained for the first time. An experiment on the spreading of ink on a surface covered with acrylic paint quantitatively confirmed the validity of this relation. © 2023 Author(s).
AB - The viscous spreading of a small liquid drop on a surface, where moving interface changes from circular to fractal, starting at a certain size, is considered. Based on the maximum entropy production principle, the analytical relation between the critical size of the morphological stability of a circular drop and the fractal dimension of the structure that appears during spreading is obtained for the first time. An experiment on the spreading of ink on a surface covered with acrylic paint quantitatively confirmed the validity of this relation. © 2023 Author(s).
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U2 - 10.1063/5.0164035
DO - 10.1063/5.0164035
M3 - Article
VL - 35
JO - Physics of Fluids
JF - Physics of Fluids
SN - 1070-6631
IS - 8
M1 - 081704
ER -
ID: 44659576