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Madruga Sánchez, Santiago and Pérez-García, Carlos (2004). Hexagonal patterns in a model for rotating convection. "International Journal of Bifurcation and Chaos", v. 14 (n. 1); pp. 107-117. ISSN 0218-1274. https://doi.org/10.1142/S0218127404009107.
Title: | Hexagonal patterns in a model for rotating convection |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | International Journal of Bifurcation and Chaos |
Date: | January 2004 |
ISSN: | 0218-1274 |
Volume: | 14 |
Subjects: | |
Freetext Keywords: | Rotating convection; pattern formation; hydrodynamic instability |
Faculty: | E.T.S.I. Aeronáuticos (UPM) |
Department: | Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014] |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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We study a model equation that mimics convection under rotation in a fluid with temperature- dependent properties (non-Boussinesq (NB)), high Prandtl number and idealized boundary conditions. It is based on a model equation proposed by Segel [1965] by adding rotation terms that lead to a Kuppers-Lortz instability [Kuppers & Lortz, 1969] and can develop into oscillating hexagons. We perform a weakly nonlinear analysis to find out explicitly the coefficients in the amplitude equation as functions of the rotation rate. These equations describe hexagons and os- cillating hexagons quite well, and include the Busse?Heikes (BH) model [Busse & Heikes, 1980] as a particular case. The sideband instabilities as well as short wavelength instabilities of such hexagonal patterns are discussed and the threshold for oscillating hexagons is determined.
Item ID: | 21703 |
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DC Identifier: | https://oa.upm.es/21703/ |
OAI Identifier: | oai:oa.upm.es:21703 |
DOI: | 10.1142/S0218127404009107 |
Official URL: | http://www.worldscientific.com/doi/abs/10.1142/S0218127404009107 |
Deposited by: | Memoria Investigacion |
Deposited on: | 07 Apr 2014 14:43 |
Last Modified: | 21 Apr 2016 12:26 |