An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies

A series of laboratory experiments has been carried out in a thermally driven rotating annulus to study the onset of baroclinic instability, using horizontal and uniformly sloping bottom topographies. Different wave flow regimes have been identified and their phase boundaries – expressed in terms of...

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Main Authors: M. Vincze, U. Harlander, Th. von Larcher, C. Egbers
Format: Article
Language:English
Published: Copernicus Publications 2014-02-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/21/237/2014/npg-21-237-2014.pdf
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author M. Vincze
U. Harlander
Th. von Larcher
C. Egbers
author_facet M. Vincze
U. Harlander
Th. von Larcher
C. Egbers
author_sort M. Vincze
collection DOAJ
description A series of laboratory experiments has been carried out in a thermally driven rotating annulus to study the onset of baroclinic instability, using horizontal and uniformly sloping bottom topographies. Different wave flow regimes have been identified and their phase boundaries – expressed in terms of appropriate non-dimensional parameters – have been compared to the recent numerical linear stability analysis of von Larcher et al. (2013). In the flat bottom case, the numerically predicted alignment of the boundary between the axisymmetric and the regular wave flow regime was found to be consistent with the experimental results. However, once the sloping bottom end wall was introduced, the detected behaviour was qualitatively different from that of the simulations. This disagreement is thought to be the consequence of nonlinear wave–wave interactions that could not be resolved in the framework of the numerical study. This argument is supported by the observed development of interference vacillation in the runs with sloping bottom, a mixed flow state in which baroclinic wave modes exhibiting different drift rates and amplitudes can co-exist.
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spelling doaj.art-d2ad3b2e670f4a3eb7f4044c93f1c2912022-12-21T18:39:39ZengCopernicus PublicationsNonlinear Processes in Geophysics1023-58091607-79462014-02-0121123725010.5194/npg-21-237-2014An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographiesM. Vincze0U. Harlander1Th. von Larcher2C. Egbers3Department of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus-Senftenberg, Cottbus, GermanyDepartment of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus-Senftenberg, Cottbus, GermanyInstitute for Mathematics, Freie Universität Berlin, Berlin, GermanyDepartment of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus-Senftenberg, Cottbus, GermanyA series of laboratory experiments has been carried out in a thermally driven rotating annulus to study the onset of baroclinic instability, using horizontal and uniformly sloping bottom topographies. Different wave flow regimes have been identified and their phase boundaries – expressed in terms of appropriate non-dimensional parameters – have been compared to the recent numerical linear stability analysis of von Larcher et al. (2013). In the flat bottom case, the numerically predicted alignment of the boundary between the axisymmetric and the regular wave flow regime was found to be consistent with the experimental results. However, once the sloping bottom end wall was introduced, the detected behaviour was qualitatively different from that of the simulations. This disagreement is thought to be the consequence of nonlinear wave–wave interactions that could not be resolved in the framework of the numerical study. This argument is supported by the observed development of interference vacillation in the runs with sloping bottom, a mixed flow state in which baroclinic wave modes exhibiting different drift rates and amplitudes can co-exist.http://www.nonlin-processes-geophys.net/21/237/2014/npg-21-237-2014.pdf
spellingShingle M. Vincze
U. Harlander
Th. von Larcher
C. Egbers
An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
Nonlinear Processes in Geophysics
title An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
title_full An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
title_fullStr An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
title_full_unstemmed An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
title_short An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
title_sort experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies
url http://www.nonlin-processes-geophys.net/21/237/2014/npg-21-237-2014.pdf
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