Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N00: Poster Session II (11:30am-2:30pm CST)
11:30 AM,
Wednesday, March 6, 2024
Room: Hall BC
Sponsoring
Unit:
APS/SPS
Abstract: N00.00239 : Spreading, pinching, and coalescence: the Ohnesorge units
Presenter:
Vivek Sharma
(University of Illinois Chicago)
Authors:
Vivek Sharma
(University of Illinois Chicago)
Marc-Antoine Fardin
(Universite´ de Paris, CNRS, Institut Jacques Monod, F-75013 Paris, France.)
Mathieu Hautefeuille
(Institut de Biologie Paris Seine, UMR 7622, Sorbonne Universite´, 7 quai Saint Bernard, 75005 Paris, France)
presented as examples of the methods of dimensional analysis, the lack of precise values or estimates for pre-factors, transitions, and scaling exponents presents difficulties for quantitative analysis and material characterization. We reanalyze and summarize an elaborate set of landmark published experimental studies on a wide range of Newtonian fluids. We show that moving beyond VI, VC, and IC units in favor of intrinsic timescale and lengthscale determined by all three material properties (viscosity, surface tension, and density), creates a complementary system that we call the Ohnesorge units. We find that in spite of large differences in topological features, timescales, and material properties, the analysis of spreading, pinching, and coalescing drops in the Ohnesorge units results in a remarkable collapse of the experimental datasets, highlighting the shared and universal features displayed in such flows.
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