Combined effect of volume and gravity on the three-dimensional flow instability in non-cylindrical floating zones heated by an equatorial ring

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Abstract

The present paper strongly extends a previous analysis dealing with the investigation of the three-dimensional Marangoni flow instability in cylindrical floating zones (straight liquid column of full-zone extent) of a low Prandtl liquid laterally heated by a ring positioned around the equatorial plane and under microgravity conditions. The new study gives insights into the combined influence of volume and gravitational effects. The deformation of the free melt/gas interface due to the gravity field is taken into account. Parallel supercalculus is used to reduce the otherwise prohibitive computational time. The prominent features of the three-dimensional field are largely dependent on geometrical parameters. The results (full zone) are heretofore unseen and show that the interplay between the upper half and lower half of the liquid domain is an essential factor for the correct description of the phenomena under investigation. They are contrasted with the case of the half zone for which a rich variety of interesting and worthy contributions is available in literature.
LanguageEnglish
Pages331-343
Number of pages13
JournalPhysics of Fluids
Volume16
Issue number2
DOIs
Publication statusPublished - 31 Dec 2003

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three dimensional flow
floating
Gravitation
gravitation
rings
Liquids
liquids
Gravitational effects
gravitational effects
Microgravity
microgravity
Gases
gases

Keywords

  • three-dimensional flow instability
  • microgravity
  • flow instabilities
  • instability analysis
  • Marangoni flow
  • parallel supercalculus

Cite this

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title = "Combined effect of volume and gravity on the three-dimensional flow instability in non-cylindrical floating zones heated by an equatorial ring",
abstract = "The present paper strongly extends a previous analysis dealing with the investigation of the three-dimensional Marangoni flow instability in cylindrical floating zones (straight liquid column of full-zone extent) of a low Prandtl liquid laterally heated by a ring positioned around the equatorial plane and under microgravity conditions. The new study gives insights into the combined influence of volume and gravitational effects. The deformation of the free melt/gas interface due to the gravity field is taken into account. Parallel supercalculus is used to reduce the otherwise prohibitive computational time. The prominent features of the three-dimensional field are largely dependent on geometrical parameters. The results (full zone) are heretofore unseen and show that the interplay between the upper half and lower half of the liquid domain is an essential factor for the correct description of the phenomena under investigation. They are contrasted with the case of the half zone for which a rich variety of interesting and worthy contributions is available in literature.",
keywords = "three-dimensional flow instability, microgravity, flow instabilities, instability analysis, Marangoni flow, parallel supercalculus",
author = "Marcello Lappa",
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T1 - Combined effect of volume and gravity on the three-dimensional flow instability in non-cylindrical floating zones heated by an equatorial ring

AU - Lappa, Marcello

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N2 - The present paper strongly extends a previous analysis dealing with the investigation of the three-dimensional Marangoni flow instability in cylindrical floating zones (straight liquid column of full-zone extent) of a low Prandtl liquid laterally heated by a ring positioned around the equatorial plane and under microgravity conditions. The new study gives insights into the combined influence of volume and gravitational effects. The deformation of the free melt/gas interface due to the gravity field is taken into account. Parallel supercalculus is used to reduce the otherwise prohibitive computational time. The prominent features of the three-dimensional field are largely dependent on geometrical parameters. The results (full zone) are heretofore unseen and show that the interplay between the upper half and lower half of the liquid domain is an essential factor for the correct description of the phenomena under investigation. They are contrasted with the case of the half zone for which a rich variety of interesting and worthy contributions is available in literature.

AB - The present paper strongly extends a previous analysis dealing with the investigation of the three-dimensional Marangoni flow instability in cylindrical floating zones (straight liquid column of full-zone extent) of a low Prandtl liquid laterally heated by a ring positioned around the equatorial plane and under microgravity conditions. The new study gives insights into the combined influence of volume and gravitational effects. The deformation of the free melt/gas interface due to the gravity field is taken into account. Parallel supercalculus is used to reduce the otherwise prohibitive computational time. The prominent features of the three-dimensional field are largely dependent on geometrical parameters. The results (full zone) are heretofore unseen and show that the interplay between the upper half and lower half of the liquid domain is an essential factor for the correct description of the phenomena under investigation. They are contrasted with the case of the half zone for which a rich variety of interesting and worthy contributions is available in literature.

KW - three-dimensional flow instability

KW - microgravity

KW - flow instabilities

KW - instability analysis

KW - Marangoni flow

KW - parallel supercalculus

U2 - 10.1063/1.1634970

DO - 10.1063/1.1634970

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