Lapuerta González, María Victoria and Martel, Carlos and Vega de Prada , José Manuel (2002) Weakly dissipative Faraday waves in 2D large aspect ratio annuli. Physica D: Nonlinear Phenomena, 173 (3-4). pp. 178-203. ISSN 0167-2789
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| Item Type: | Article | ||||||||
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| Title: | Weakly dissipative Faraday waves in 2D large aspect ratio annuli | ||||||||
| Publisher: | Elsevier | ||||||||
| Journal/Publication Title: | Physica D: Nonlinear Phenomena | ||||||||
| Date: | December 2002 | ||||||||
| Volume: | 173 | ||||||||
| Number: | 3-4 | ||||||||
| Department: | Mathematical Fundamentals of Aeronautics Technology | ||||||||
| Faculty: | E.T.S.I. Aeronautical (UPM) | ||||||||
| Creative Commons licenses: | Recognition - No derivative works - No commercial | ||||||||
| Item ID: | 6036 | ||||||||
| Subjects: | Mathematics Aeronautics |
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Official URL: http://www.sciencedirect.com
Abstract
Weakly dissipative parametrically excited (by vertical vibration) surface gravity-capillary waves in a two-dimensional, horizontally periodic container are considered. A set of equations is derived for the coupled evolution of the left- and right-traveling surface waves and the associated mean flow, in the case when the container depth is small compared to its length but large compared to the wavelength of the excited waves. The stability of the spatially uniform standing waves (SWs) is first analyzed and then the large time spatio-temporal behavior of the system beyond threshold is numerically studied. The viscous mean flow is found to drastically affect the dynamics of the system and the resulting surface wave patterns.
| Item Type: | Article |
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| Uncontrolled Keywords: | Faraday waves; Streaming flow; Gravity-capillary waves; Parametric resonance |
| Subjects: | Mathematics Aeronautics |
| Código ID: | 6036 |
| Depositado Por: | Memoria de Investigacion 2 |
| Depositado el: | 16 Feb 2011 14:02 |
| Last Modified: | 16 Feb 2011 14:02 |
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