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On boundary-layer convection in a rotating fluid layer

Published online by Cambridge University Press:  08 February 2006

X. LIAO ,
K. ZHANG  and
Y. CHANG
X. LIAO
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
K. ZHANG
Affiliation:
Department of Mathematical Sciences, University of Exeter, Exeter EX4 4QE, UK
Y. CHANG
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
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Abstract

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The asymptotic solutions of second-order accuracy taking account of the velocity boundary conditions imposed on the sidewalls are derived for wall-localized boundary-layer convection in a rotating fluid layer in the presence of stress-free or no-slip vertical sidewalls. The second-order asymptotic solutions give a satisfactory quantitative agreement with the fully numerical solutions obtained in a rotating channel with either stress-free or no-slip sidewalls. Furthermore, we show, through fully three-dimensional numerical simulations, that the structure of the boundary-layer convection is highly robust in strongly nonlinear regimes.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 549 , 25 February 2006 , pp. 375 - 384
Copyright
© 2006 Cambridge University Press