Finite amplitude thermal inertial waves in a rotating fluid layer
作者:
AndrewP. Bassom,
Keke Zhang,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1998)
卷期:
Volume 87,
issue 3-4
页码: 193-214
ISSN:0309-1929
年代: 1998
DOI:10.1080/03091929808221147
出版商: Taylor & Francis Group
关键词: Weakly nonlinear theory;rapidly rotating layer;small Prandtl number
数据来源: Taylor
摘要:
Recent investigations by Zhang and Roberts (1997) have shown that the onset of convection in a rapidly rotating fluid layer at sufficiently small Prandtl number and heated from below is via modes which are essentially thermal inertial waves. The detailed structure of these modes is determined by balancing buoyancy forces against weak viscous dissipation and the objective here is to extend the results of Zhang and Roberts into a finite amplitude regime. This paper presents the first study of nonlinear thermoinertial waves in a rapidly rotating layer using multiple timescales analysis and double expansion perturbations in terms of small Ekman number and small amplitude. Some solutions of the nonlinear problem are given and the implications of our study for related problems are considered.
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