Fragmentation of a drop as it falls in a lighter miscible fluid
Authors: Arecchi F.T., Buah Bassuah P.K., Francini F., Residori S.
Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Firenze, 50125 Firenze, Italy;
University of Cape Coast, Cape Coast, Ghana
Abstract: We report an experimental investigation of the fragmentation process of a heavy drop falling in a lighter miscible fluid. For fixed liquid composition and for different drop sizes, we observe that the fragmentation cascade stops after a few breakups, once each individual droplet has reduced below a critical volume for further splitting. Since each fragmentation is the outcome of a hydrodynamic instability, we expect fluctuations in the size of the fragmented droplets. The main experimental outcomes are the following: (1) the first breakup time scales with the size separation from the critical volume in a universal way independent of the fluid composition; (2) in the region intermediate between
the first and the last fragmentation, the droplet sizes display multifractal properties, with the average dimension D-0 decreasing to a minimum and then increasing again once diffusion prevails; and (3) the droplet height scales with time with an exponent independent of the drop volume and composition.
Journal/Review: PHYSICAL REVIEW E
Volume: 54 (1) Pages from: 424 to: 429
KeyWords: Break-up; Dimension; LiquidDOI: 10.1103/PhysRevE.54.424Citations: 11data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2023-10-01References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here