Equilibrium shapes of liquid menisci subjected to gravity force and surface tension

Rossolenko, S. N.; Жданов, А. В.

doi:10.1016/0022-0248(90)90300-a

Cited by 12 publications

(5 citation statements)

References 1 publication

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“…Although some works considering non-circular supports have been published on crystal growing by the Czochralski method [8][9][10] and on capillary jets emerging from non-circular nozzles, most of the literature deals with liquid bridges and floating zones between circular disks, with the liquid interface shape being non-axisymmetric or axisymmetric depending on lateral forces or eccentricity being considered or not.…”

Section: Introductionmentioning

confidence: 99%

Simulation of non-axisymmetric floating zone crystal growth under microgravity

Martinez

Meseguer²,

Perales³

2002

Microgravity sci. Technol.

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The possibility of growing crystals of non-circular cross-section by using the floating zone technique is considered, basing the analysis on the isothermal liquid bridge model, and restricting the study to a linear asymptotic analysis. An almost square initial seed is considered in more detail, although the analysis is general and can be applied to other initial shapes, not only of the seed but also of the supply rod, that can be of any cross-section. The influence of non-circular seed and/or feed cross-section shape, and of a possible axial acceleration typical of microgravity platforms (sounding rockets and space labs), on both the liquid interface shape and the solid grown shape, are analysed, including the stability limits by breaking of the molten bridge.

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Section: Introductionmentioning

confidence: 99%

Simulation of non-axisymmetric floating zone crystal growth under microgravity

Martinez

Meseguer²,

Perales³

2002

Microgravity sci. Technol.

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“…These ones are used in the automated systems of the crystals' form and quality controlling [11] and in consideration of the dynamic models of the crystallization processes [19]. Non-cylindrical (almost quadratic) forms of the meniscus distinguishing for the growth of rare-earth molybdates by modified Czochralski and EFG methods [20] are investigated using numerical solution of the Young-Laplace equation submitted in Cartesian (non-cylindrical) system of coordinates [21]. Thermo-capillary numerical models also require solution of the equation [24][25][26][27][28][29][30][31].…”

Section: Schematic Of Shaped Crystal Growth By the Efg Techniquementioning

confidence: 99%

Numerical Analysis of Liquid Menisci in the EFG Technique

Rossolenko¹,

Katyba²,

Dolganova³

et al. 2019

Crystal Growth

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This chapter is devoted to the analysis of the behavior of the profile curves of the melt menisci for the sapphire crystal growth by edge-defined film-fed growth (EFG) technique. The menisci of the shaped crystals with capillary channels, fibers, and tubes (including cases of outer and inner circular menisci) are considered. Also, we investigated the profile curves of menisci both in the cases of the positive and negative angles between profile curve and the working edge of the die. The cases of outer and inner circular menisci of the tubular crystals and menisci at capillaries and fibers are considered.

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“…These expressions are also used in the development and investigation of the dynamic models of the crystallization processes [8]. Non-cylindrical (quadratoid) shapes of the meniscus specific for the growth of rare-earth molybdates by modified Czochralski and EFG techniques [9] are calculated on the base of numerical solution of the Young-Laplace equation represented in cartesian (non-cylindrical) coordinates system [10]. Thermocapillary numerical models also require solution of the Young-Laplace [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the profile curves of the menisci for the sapphire tubes growth by EFG (Stepanov) technique

Rossolenko¹,

Курлов

Asrian

2009

Cryst. Res. Technol.

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This paper deals with investigation of the behavior of the profile curves of the melt menisci for the case of the sapphire crystal growth by EFG (Stepanov) technique. The cases of external and internal circular menisci of the crystal tube are considered. The cases of the positive and negative angles of the contact of the profile curve with the working surface of the shaper are considered. Features of the profile curves are used in the automated control systems of the crystal growth using of the weight sensor.

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Equilibrium shapes of liquid menisci subjected to gravity force and surface tension

Cited by 12 publications

References 1 publication

Simulation of non-axisymmetric floating zone crystal growth under microgravity

Simulation of non-axisymmetric floating zone crystal growth under microgravity

Numerical Analysis of Liquid Menisci in the EFG Technique

Analysis of the profile curves of the menisci for the sapphire tubes growth by EFG (Stepanov) technique

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