Hot Wire Below the Free Surface of a Liquid: Structural and Dynamical Properties of a Secondary Instability

Vince, J. M.; Dubois, M.

doi:10.1209/0295-5075/20/6/006

Cited by 35 publications

(44 citation statements)

References 8 publications

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“…More recently, 1D propagative patterns have also been observed in a new experiment involving a hot wire below the free surface of a liquid. This dynamic state is qualitatively consistent with theories based on Ginzburg-Landau equations [12]. However, the physical mechanisms responsible for this instability remain unknown as well as the exact role of defects.…”

Section: Traveling Waves In a Fluid Layersupporting

confidence: 87%

Traveling waves in a fluid layer subjected to a horizontal temperature gradient

1993

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URL: http://www-spht.cea.fr/articles/S93/017 http://fr.arxiv.org/abs/cond-mat/9303049International audienceWe report experimental observations of traveling waves in a pure fluid with a free surface situated in a long container submitted to a horizontal temperature gradient perpendicular to its large extension. Above a critical value of the gradient and depending on the height of liquid $ h, $ a source of waves is created in the container for small value of $ h, $ while the system exhibits stationary patterns for larger values of $ h. $ The spatio-temporal properties of the waves are studied and compared to theoretical predictions. ----- Ce court article résume les premiers résultats acquis dans cette nouvelle configuration longitudinale: comme dans les travaux précédents des mêmes auteurs, nous sommes dans le cas d'un canal horizontal rempli d'un liquide. Cette fois l'instabilité est provoquée par un gradient horizontal de température. La phénoménologie observée rappelle fortement le cas où le chauffage se fait à l'aide d'un fil conducteur placé sous la surface: un système d'ondes propagatives apparaît dès le seuil de l'instabilité, lequel subit ensuite des bifurcations l'amenant à une dynamique spatiotemporelle non-triviale. En dehors de la nouveauté indiscutable de ces résultats, c'est bien l'analogie avec le cas du fil chaud qui me paraît la plus prometteuse: elle montre la généralité de ces phénomènes, et permet d'espérer une clarification des véritables mécanismes à l'origine de l'instabilité dans un cas comme dans l'autre. Ce travail mérite d'être publié et poursuivi. \vskip 20mm \hfill{Huges Chaté

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Section: Traveling Waves In a Fluid Layersupporting

confidence: 87%

Traveling waves in a fluid layer subjected to a horizontal temperature gradient

1993

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“…This kind of behavior can be found in experiments of lateral heating in thin fluid layers [1,2], hot-wire convection [3], von Kármán street flows [4], nematic liquid crystals [5], Taylor-Dean instability [7] or turbulent spirals on Taylor-Couette flow [6].…”

Section: Introductionmentioning

confidence: 75%

“…The heating is provided by means of resistive wires placed under the surface [3,33] or by a laser beam [34,35]. Nevertheless, the time-dependent patterns of these systems are produced after a primary bifurcation.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional dynamics in locally heated liquid layers

Burguete

Maza

Mancini

2003

Physica D: Nonlinear Phenomena

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Recent results on one-dimensional patterns in locally heated experiments are presented. A fluid layer is heated locally by a nearly one-dimensional heater, and subjected to both horizontal and vertical temperature gradients. Depending on the fluid depth and on the temperature difference established across the layer different convective regimes appear. When a very small temperature gradient is applied a basic convective state appears. It consists of two big rolls parallel to the heater and filling the convective cell. A primary instability in the homogeneous basic flow gives rise to a one-dimensional cellular stationary pattern. For higher values of the control parameters, time-dependent patterns appear through a secondary instability. Various regimes are analyzed: oscillations, traveling waves and alternating patterns. The hydrodynamic characteristics of these patterns are provided. Local temperature measurements allows to describe the physical mechanisms responsible for the instabilities. The similarities and discrepancies of the experimental data with some theoretical models are provided.

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“…Wave systems have been studied in binary-fluid convection (subcritical traveling waves bifurcation) [4][5][6], oscillatory instability in low Prandtl number convection [7,8], oscillatory rotating convection [9], cylinder wake [10], Taylor dean vortices. [11,12] Among these different waves systems, thermocapillary flows and in particular hydrothermal waves [13][14][15][16][17][18] or hot wire waves [19][20][21][22] appear as a very simple tool, owing to their supercritical bifurcation. They correspond to the first instability of a thin liquid layer with a free surface subjected to a horizontal temperature gradient [23].…”

Section: Introductionmentioning

confidence: 99%

“…They correspond to the first instability of a thin liquid layer with a free surface subjected to a horizontal temperature gradient [23]. Different experimental configurations have been used to study those traveling waves: rectangular cells with different aspect ratios [13,24,25,18,15], annular cells [26,14], cylindrical cells [27,17] and linear hot wire under the surface of a liquid [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II. Convective/absolute transitions

Garnier¹,

Chiffaudel²,

Daviaud³

2003

Physica D: Nonlinear Phenomena

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We present experimental results on hydrothermal traveling-waves dynamics in long and narrow 1D channels. The onset of primary traveling-wave patterns is briefly presented for different fluid heights and for annular or bounded channels, i.e., within periodic or non-periodic boundary conditions. For periodic boundary conditions, by increasing the control parameter or changing the discrete mean-wavenumber of the waves, we produce modulated waves patterns. These patterns range from stable periodic phase-solutions, due to supercritical Eckhaus instability, to spatio-temporal defect-chaos involving traveling holes and/or counter-propagating-waves competition, i.e., traveling sources and sinks. The transition from non-linearly saturated Eckhaus modulations to transient pattern-breaks by traveling holes and spatiotemporal defects is documented. Our observations are presented in the framework of coupled complex Ginzburg-Landau equations with additional fourth and fifth order terms which account for the reflection symmetry breaking at high wave-amplitude far from onset. The second part of this paper [1] extends this study to spatially non-periodic patterns observed in both annular and bounded channel.

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Hot Wire Below the Free Surface of a Liquid: Structural and Dynamical Properties of a Secondary Instability

Cited by 35 publications

References 8 publications

Traveling waves in a fluid layer subjected to a horizontal temperature gradient

Traveling waves in a fluid layer subjected to a horizontal temperature gradient

One-dimensional dynamics in locally heated liquid layers

Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II. Convective/absolute transitions

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