Hexagonal patterns in a model for rotating convection

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.

Description

Title: Hexagonal patterns in a model for rotating convection
Author/s:
  • Madruga Sánchez, Santiago
  • Pérez-García, Carlos
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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Abstract

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.

More information

Item ID: 21703
DC Identifier: http://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
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