Hydrothermal waves in a liquid bridge subjected to a gas stream along the interface

Gaponenko, Yuri; Yasnou, Viktar; Mialdun, Aliaksndr; Nepomnyashchy, Alexander; Shevtsova, Valentina

doi:10.1017/jfm.2020.901

Cited by 17 publications

(40 citation statements)

References 36 publications

(84 reference statements)

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“…The problem was solved using dimensional variables (x, y, z), and the variables were transformed accordingly. Numerical convergence was previously tested 11,38 for a similar configuration, and we take these results as a reference for validation of the code.…”

Section: E Numerical Methodsmentioning

confidence: 99%

“…In line with our earlier studies of thermoconvective flows in twophase systems, 11,19,38 we focus on a liquid bridge (LB) supported by two solid disks at different temperatures (DT ¼ T þ À T À ) embedded into a gas phase. The convective flow in the liquid is produced by the combined action of the buoyancy and thermocapillary effects.…”

Section: Problem Formulation a The Systemmentioning

confidence: 97%

“…2. The dimensions used correspond to our previous experimental 19 and numerical 11 studies: R 0 ¼ 3 mm, R out ¼ 5 mm, the length of the TABLE I. Physical properties of n-decane and nitrogen at 25 C: the dynamic viscosity l, the thermal diffusivity v; the thermal conductivity k, the density q, the thermal expansion b T ¼ Àð1=q 0 Þdq=dT, and the Prandtl number Pr ¼ =v.…”

Section: Problem Formulation a The Systemmentioning

confidence: 99%

“…( 21). This analysis of the properties of hydrothermal waves follows a recently developed methodology, 11 and we refer readers to this work for more details.…”

Section: B Spatiotemporal Evolution Of Hydrothermal Waves In a Three-dimensional Flowmentioning

confidence: 99%

“…[6][7][8] From a theoretical point of view, such liquid bridges provide a unique system to test fundamental theories of nonlinear dynamics and chaos. [9][10][11] An oscillatory instability, which develops from the steady axisymmetric flow, may generate standing or traveling hydrothermal waves (HTW). A traveling wave (TW) can propagate in the azimuthal 12 or axial 13,14 directions and be characterized by a single integer azimuthal wavenumber m or a combination thereof.…”

Section: Introductionmentioning

confidence: 99%

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Effect of the supporting disks shape on nonlinear flow dynamics in a liquid bridge

et al. 2021

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The stability of convective flows in a non-homogeneous temperature field is affected by the shape of the container hosting the fluid. We present a nonlinear two-phase computational study of convection in a liquid bridge that develops under the action of buoyancy and Marangoni forces. The hydrothermal instability is examined for three shapes of disks supporting liquid bridge: both disks flat, the upper (hot) disk tapered, and the lower (cold) disk tapered. Steady flow is also analyzed for the case that both disks are tapered. In all the cases of instability, the flow pattern comprises, but is not limited to, a hydrothermal wave with an azimuthal wavenumber m ¼ 2. An intriguing flow pattern is observed in the case of flat disks when the nonlinear interaction between the modes m ¼ 0 and m ¼ 2 leads to quasiperiodic motion forming a torus in the phase space. The torus originates from two traveling waves (TW) with the same mode m ¼ 2 but with distinct (close) frequencies. Note that this was not observed in the one-phase model. The case with a tapered cold disk reveals an oscillatory state with a single TW wave associated with m ¼ 2 mode. In the case of a tapered hot disk, an axially symmetric TW with m ¼ 0 is observed first and, at later times, is accompanied by a TW with m ¼ 2.

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Section: E Numerical Methodsmentioning

confidence: 99%

Section: Problem Formulation a The Systemmentioning

confidence: 97%

Section: Problem Formulation a The Systemmentioning

confidence: 99%

“…( 21). This analysis of the properties of hydrothermal waves follows a recently developed methodology, 11 and we refer readers to this work for more details.…”

Section: B Spatiotemporal Evolution Of Hydrothermal Waves In a Three-dimensional Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of the supporting disks shape on nonlinear flow dynamics in a liquid bridge

et al. 2021

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Internal flow structure and dynamic free-surface deformation of oscillatory thermocapillary convection in a high-Prandtl-number liquid bridge

et al. 2022

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Effects of Thermocapillary and Natural Convection During the Melting of PCMs with a Liquid Bridge Geometry

Varas

Martínez

Olfe

et al. 2023

Microgravity Sci. Technol.

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The results of a numerical investigation of the melting of a PCM occupying an axisymmetric volume in the presence of gravity are presented. The PCM is held between two circular supports maintained at different temperatures. The melting process, which is analyzed for n-octadecane, is affected by a combination of thermocapillary and natural convection. If the PCM is heated from above, the convective motion driven by the thermocapillary force is opposed by the buoyant force, which reduces the heat transfer rate. If the PCM is heated from below, natural convection acts in the same sense as thermocapillary convection and the heat transfer rate is increased. The volume $$\mathcal {V}$$ V of the PCM relative to an ideal cylinder, which selects the shape of the PCM/air interface, is found to play an important role. The overall effect of natural convection on heat transfer is characterized by the ratio of the melting time in microgravity to that of the same system with gravity. This gain factor is greater (less) than unity when heating from below (above) and depends strongly on $$\mathcal {V}$$ V , particularly for smaller PCM volumes.

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Hydrothermal waves in a liquid bridge subjected to a gas stream along the interface

Abstract: Abstract

Cited by 17 publications

References 36 publications

Effect of the supporting disks shape on nonlinear flow dynamics in a liquid bridge

Effect of the supporting disks shape on nonlinear flow dynamics in a liquid bridge

Internal flow structure and dynamic free-surface deformation of oscillatory thermocapillary convection in a high-Prandtl-number liquid bridge

Effects of Thermocapillary and Natural Convection During the Melting of PCMs with a Liquid Bridge Geometry

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