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Finite amplitude thermal inertial waves in a rotating fluid layer


Bassom, AP and Zhang, K, Finite amplitude thermal inertial waves in a rotating fluid layer, Geophysical and Astrophysical Fluid Dynamics, 87, (3-4) pp. 193-214. ISSN 0309-1929 (1998) [Refereed Article]

Copyright Statement

Copyright 1998 OPA (Overseas Publishers Association) N.V.

DOI: doi:10.1080/03091929808221147


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.

Item Details

Item Type:Refereed Article
Keywords:weakly nonlinear theory, rapidly rotating layer, small Prandtl number
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108054
Year Published:1998
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2016-04-05
Last Modified:2016-07-26

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