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Artículo

Asymptotic regimes of ridge and rift formation in a thin viscous sheet model

Perazzo, Carlos AlbertoIcon ; Gratton, JulioIcon
Fecha de publicación: 04/2008
Editorial: American Institute of Physics
Revista: Physics of Fluids
ISSN: 1070-6631
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Física de los Fluidos y Plasma

Resumen

We numerically and theoretically investigate the evolution of the ridges and rifts produced by the convergent and divergent motions of two substrates over which an initially uniform layer of a Newtonian liquid rests. We put particular emphasis on the various asymptotic self-similar and quasi-self-similar regimes that occur in these processes. During the growth of a ridge, two self-similar stages occur; the first takes place in the initial linear phase, and the second is obtained for a large time. Initially, the width and the height of the ridge increase as t1/2. For a very large time, the width grows as t3/4, while the height increases as t1/4. On the other hand, in the process of formation of a rift, there are three self-similar asymptotics. The initial linear phase is similar to that for ridges. The second stage corresponds to the separation of the current in two parts, leaving a dry region in between. Last, for a very large t, each of the two parts in which the current has separated approaches the self-similar viscous dam break solution.
Palabras clave: Ridge formation , Convergent flows , Viscous gravity flow
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/104047
DOI: https://doi.org/10.1063/1.2908356
URL: https://aip.scitation.org/doi/10.1063/1.2908356
Colecciones
Articulos(INFINA)
Articulos de INST.DE FISICA DEL PLASMA
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Citación
Perazzo, Carlos Alberto; Gratton, Julio; Asymptotic regimes of ridge and rift formation in a thin viscous sheet model; American Institute of Physics; Physics of Fluids; 20; 4; 4-2008; 431031-431038
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