On the gravitational suppression of hydrothermal modes in liquid layers with a blockage on the bottom wall

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Abstract

The present analysis follows and integrates author's previous work (Lappa M., 2017, Int. J. Thermal Science, 118: 303–319), where the main focus was on buoyancy flow of semiconductor and superconductor melts in geometries with an obstruction located on the bottom. Here we consider hybrid thermogravitational/thermocapillary convection in the case of high-Pr materials for which typical disturbances are represented by the so-called hydrothermal waves. By means of two-dimensional and three-dimensional numerical simulations, we show that the presence of a blockage in the physical domain can significantly change the dynamics of these waves in some regions of the space of parameters. More precisely, their velocity of propagation can be modulated and even reduced to zero. In the latter case, rolls travelling in the system are replaced with disconnected segments of stationary waves originating from the stations where sudden variations of the geometry occur.

LanguageEnglish
Article number105987
Number of pages19
JournalInternational Journal of Thermal Sciences
Volume145
Early online date28 Jun 2019
DOIs
Publication statusE-pub ahead of print - 28 Jun 2019

Fingerprint

retarding
Liquids
liquids
Geometry
geometry
Buoyancy
buoyancy
Superconducting materials
convection
disturbances
stations
Semiconductor materials
propagation
Computer simulation
simulation
Hot Temperature
Convection

Keywords

  • hydrothermal waves
  • Marangoni convection
  • buoyancy convection

Cite this

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title = "On the gravitational suppression of hydrothermal modes in liquid layers with a blockage on the bottom wall",
abstract = "The present analysis follows and integrates author's previous work (Lappa M., 2017, Int. J. Thermal Science, 118: 303–319), where the main focus was on buoyancy flow of semiconductor and superconductor melts in geometries with an obstruction located on the bottom. Here we consider hybrid thermogravitational/thermocapillary convection in the case of high-Pr materials for which typical disturbances are represented by the so-called hydrothermal waves. By means of two-dimensional and three-dimensional numerical simulations, we show that the presence of a blockage in the physical domain can significantly change the dynamics of these waves in some regions of the space of parameters. More precisely, their velocity of propagation can be modulated and even reduced to zero. In the latter case, rolls travelling in the system are replaced with disconnected segments of stationary waves originating from the stations where sudden variations of the geometry occur.",
keywords = "hydrothermal waves, Marangoni convection, buoyancy convection",
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AB - The present analysis follows and integrates author's previous work (Lappa M., 2017, Int. J. Thermal Science, 118: 303–319), where the main focus was on buoyancy flow of semiconductor and superconductor melts in geometries with an obstruction located on the bottom. Here we consider hybrid thermogravitational/thermocapillary convection in the case of high-Pr materials for which typical disturbances are represented by the so-called hydrothermal waves. By means of two-dimensional and three-dimensional numerical simulations, we show that the presence of a blockage in the physical domain can significantly change the dynamics of these waves in some regions of the space of parameters. More precisely, their velocity of propagation can be modulated and even reduced to zero. In the latter case, rolls travelling in the system are replaced with disconnected segments of stationary waves originating from the stations where sudden variations of the geometry occur.

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KW - Marangoni convection

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