Memorias de investigación
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Evolution and breakup of viscous rotating drops
Año:2011
Áreas de investigación
  • Matemáticas,
  • Aplicaciones a las ciencias físicas
Datos
Descripción
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.
Internacional
Si
JCR del ISI
Si
Título de la revista
Siam Journal on Applied Mathematics
ISSN
0036-1399
Factor de impacto JCR
1,529
Información de impacto
Volumen
71
DOI
10.1137/100817668
Número de revista
6
Desde la página
1941
Hasta la página
1964
Mes
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  • Creador: Grupo de Investigación: Ingeniería de Georrecursos y Modelización