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Abstract:

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 t 1/2. For a very large time, the width grows as t 3/4, while the height increases as t 1/4. 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. © 2008 American Institute of Physics.

Registro:

Documento: Artículo
Título:Asymptotic regimes of ridge and rift formation in a thin viscous sheet model
Autor:Perazzo, C.A.; Gratton, J.
Filiación:Universidad Favaloro, Solís 453, 1078 Buenos Aires, Argentina
Dto. de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab. I, 1428 Buenos Aires, Argentina
Palabras clave:Asymptotic regimes; Asymptotics; Dam-breaks; Dry region; Linear phase; Self-similar; Thin viscous sheet; Uniform layer; Multiphase flow; Asymptotic analysis; Newtonian liquids; Ocean currents; Viscosity; Separation; Dams; Ridge; Rift; Viscous dam; Viscous sheet model; Asymptotic analysis; Dams; Newtonian liquids; Ocean currents; Viscosity
Año:2008
Volumen:20
Número:4
DOI: http://dx.doi.org/10.1063/1.2908356
Título revista:Physics of Fluids
Título revista abreviado:Phys. Fluids
ISSN:10706631
CODEN:PHFLE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10706631_v20_n4_p_Perazzo.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v20_n4_p_Perazzo

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Citas:

---------- APA ----------
Perazzo, C.A. & Gratton, J. (2008) . Asymptotic regimes of ridge and rift formation in a thin viscous sheet model. Physics of Fluids, 20(4).
http://dx.doi.org/10.1063/1.2908356
---------- CHICAGO ----------
Perazzo, C.A., Gratton, J. "Asymptotic regimes of ridge and rift formation in a thin viscous sheet model" . Physics of Fluids 20, no. 4 (2008).
http://dx.doi.org/10.1063/1.2908356
---------- MLA ----------
Perazzo, C.A., Gratton, J. "Asymptotic regimes of ridge and rift formation in a thin viscous sheet model" . Physics of Fluids, vol. 20, no. 4, 2008.
http://dx.doi.org/10.1063/1.2908356
---------- VANCOUVER ----------
Perazzo, C.A., Gratton, J. Asymptotic regimes of ridge and rift formation in a thin viscous sheet model. Phys. Fluids. 2008;20(4).
http://dx.doi.org/10.1063/1.2908356