Interacting steady and oscillatory rolls in triple convection
作者:
IreneM. Moroz,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1988)
卷期:
Volume 41,
issue 3-4
页码: 313-333
ISSN:0309-1929
年代: 1988
DOI:10.1080/03091928808208854
出版商: Taylor & Francis Group
关键词: Thermohaline convection;Boussinesq rotating fluid;convection rolls
数据来源: Taylor
摘要:
The model equations describing two-dimensional thermohaline convection of a Boussinesq fluid in a rotating horizontal layer are known to support multiple instabilities, depending on the values of certain control parameters (Arneodoet al., 1985). Most of these multiple instabilities have already been studied for double or triple diffusive convection, where behaviours ranging from simple steady to irregular motions have been found. Here we consider the one remaining bifurcation mentioned by Arneodoet al.(1985): the interaction between a steady and an oscillatory convection roll when the linear spectrum for a single wavenumber comprises one zero and one pair of purely imaginary eigenvalues. The method of centre manifolds and normal forms is used to derive evolution equations for the amplitudes of the convection rolls close to bifurcation and the behaviours associated with the equations is discussed.
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