Evolution and breakup of viscous rotating drops

Fontelos, Marco Antonio and García Garrido, Víctor and Kindelan Bustelo, Ultano (2011). Evolution and breakup of viscous rotating drops. "Siam Journal on Applied Mathematics", v. 71 (n. 6); pp. 1941-1964. ISSN 0036-1399. https://doi.org/10.1137/100817668.


Title: Evolution and breakup of viscous rotating drops
  • Fontelos, Marco Antonio
  • García Garrido, Víctor
  • Kindelan Bustelo, Ultano
Item Type: Article
Título de Revista/Publicación: Siam Journal on Applied Mathematics
Date: November 2011
ISSN: 0036-1399
Volume: 71
Faculty: E.T.S.I. Minas (UPM)
Department: Matemática Aplicada y Métodos Informáticos [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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We study the evolution of a viscous fluid drop rotating about a fixed axis at constant angular velocity $Omega$ or constant angular momentum L surrounded by another viscous fluid. The problem is considered in the limit of large Ekman number and small Reynolds number. The analysis is carried out by combining asymptotic analysis and full numerical simulation by means of the boundary element method. We pay special attention to the stability/instability of equilibrium shapes and the possible formation of singularities representing a change in the topology of the fluid domain. When the evolution is at constant $Omega$, depending on its value, drops can take the form of a flat film whose thickness goes to zero in finite time or an elongated filament that extends indefinitely. When evolution takes place at constant L and axial symmetry is imposed, thin films surrounded by a toroidal rim can develop, but the film thickness does not vanish in finite time. When axial symmetry is not imposed and L is sufficiently large, drops break axial symmetry and, depending on the value of L, reach an equilibrium configuration with a 2-fold symmetry or break up into several drops with a 2- or 3-fold symmetry. The mechanism of breakup is also described

More information

Item ID: 11246
DC Identifier: https://oa.upm.es/11246/
OAI Identifier: oai:oa.upm.es:11246
DOI: 10.1137/100817668
Deposited by: Memoria Investigacion
Deposited on: 04 Jul 2012 07:57
Last Modified: 20 Apr 2016 19:23
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