Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T12:49:11.931Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)