1990
DOI: 10.1017/s0022112090000799
|View full text |Cite
|
Sign up to set email alerts
|

Competing and coexisting dynamical states of travelling-wave convection in an annulus

Abstract: We describe experiments on convection in binary fluid mixtures in a large-aspect-ratio annular container. In this geometry, the convective rolls align radially and travel azimuthally, providing a model of travelling waves in an extended one-dimensional nonlinear dynamical system. Several different stable non-equilibrium states can be produced in this experiment, and the competition between them leads to a wide variety of steady and time-dependent behaviour. The observed spatiotemporal behaviour may shed light … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

6
69
1
3

Year Published

1992
1992
2005
2005

Publication Types

Select...
5
3

Relationship

0
8

Authors

Journals

citations
Cited by 102 publications
(79 citation statements)
references
References 25 publications
6
69
1
3
Order By: Relevance
“…In our experiement, the presence of a source stabilizes the right-and left-going waves with a definite wavelength and near threshold, the width of the source increases when decreasing ε, as it is observed in the hot wire experiment [12] and in recent numerical simulations [22]. Our experiment also shows similarities with some dynamical regimes (such as confined states with a stable sink of rolls) oberved in binary convection in an annulus [9,10]. We are performing experiments in this direction, using an annular configuration with a radial temperature gradient.…”
Section: Traveling Waves In a Fluid Layersupporting
confidence: 84%
See 1 more Smart Citation
“…In our experiement, the presence of a source stabilizes the right-and left-going waves with a definite wavelength and near threshold, the width of the source increases when decreasing ε, as it is observed in the hot wire experiment [12] and in recent numerical simulations [22]. Our experiment also shows similarities with some dynamical regimes (such as confined states with a stable sink of rolls) oberved in binary convection in an annulus [9,10]. We are performing experiments in this direction, using an annular configuration with a radial temperature gradient.…”
Section: Traveling Waves In a Fluid Layersupporting
confidence: 84%
“…A similar regime is also observed in circular [6] or plane Couette [7] flows. Spatio-temporal chaos can also appear by an increase of the number of defects as it is seen in Ginzburg Landau equations [8] or in convection in binary fluid mixtures [9]. Much work has been devoted to this last system in which the first state observed consists of traveling waves which arise from a subcritical Hopf bifurcation.…”
Section: Traveling Waves In a Fluid Layermentioning
confidence: 99%
“…Such 'defected confined states' are indeed observed in annular containers [5,18] and were studied by Kolodner [7]. He found such structures only for ψ ≤ −0.21.…”
Section: E Defected Confined Statesmentioning
confidence: 83%
“…LTWs consist of slowly drifting, spatially confined convective regions that are embedded in the quiescent fluid. These intriguing structures have been investigated in experiments [4,5,7,10,18,27,28,29,30,31,32,33,34] and numerical simulations [14,24,26,35]. A discussion of various theoretical models aiming at their explanation is contained in Sec.…”
Section: Localized Traveling Wavesmentioning
confidence: 99%
“…That instability is of interest in many physical problems and has been observed experimentally in, e.g. binary ñuid convection [2][3][4][5], isothermal double diffusive convection [6], puré Rayleigh-Bénard convection (as a secondary instability of rolls) [7][8][9], the Taylor-Couette system [10,11], several thermocapillary flows [12][13][14], electrodynamic convection in nematic liquid crystals [15][16][17][18], and several combustión systems [19][20][21].…”
Section: Introductionmentioning
confidence: 99%