• Title/Summary/Keyword: Marangoni Convection

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A NUMERICAL ANALYSIS OF CZOCHRALSKI SINGLE CRYSTAL GROWTH OF SILICON WITH MISALIGNED CUSP MAGNETIC FIELDS (Misaligned된 비균일자장이 인가된 초크랄스키 실리콘 단결정성장에 대한 수치적 해석)

  • Kim, Chang Nyung
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.121-131
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    • 2000
  • Melt flow, heat and mass transfer of oxygen have been analyzed numerically in the process of Czochralski single crystal growth of silicon under the influence of misaligned cusp magnetic fields. Since the silicon melt in a crucible for crystal growth is of high temperature and of highly electrical-conducting, experimentation method has difficulty in analyzing the behavior of the melt flow. A set of simultaneous nonlinear equations including Navier-Stokes and Maxwell equations has been used for the modelling of the melt flow which can be regarded as a liquid metal. Together with the melt flow which forms the Marangoni convection, a flow circulation is observed near the comer close both to the crucible wall and the free surface. The melt flow tends to follow the magnetic lines instead of traversing the lines. These flow characteristics helps the flow circulation exist. Mass transfer characteristics influenced by the melt flow has been analyzed and the oxygen absorption rate to the crystal has been calculated and turned out to be rather uniform than in the case of an aligned magnetic field.

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Heat Transfer Enhancement with Surfactants in Horizontal Bundle Tubes on Absorber (계면활성제를 이용한 수평관군 흡수기의 전열촉진)

  • Seol, Won-Sil;Kwon, Oh-Kyung;Moon, Choon-Geun;Yoon, Jung-In
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.8
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    • pp.1097-1103
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    • 2000
  • This research was concerned with the enhancement of heat transfer by surfactant added to the aqueous solution of LiBr. Different horizontal tubes were tested with and without an additive of normal octyl alcohol. The test tubes were a bare tube, floral tube and hydrophilic tube. The additive mass concentration was about 0.05${\sim}$5.5%. The heat transfer coefficient was measured as a function of solution flow rate for the range of 0.01${\sim}$0.034 kg/ms. The experimental results were compared with cases without surfactant. The enhancement of heat transfer by Marangoni convection effect generated by the addition of the surfactant is observed in each test tube. The increase of heat transfer coefficient by surfactant addition is about 35${\sim}$90% for bare tube, 40${\sim}$70% for the floral tube, 30${\sim}$50% for the hydrophilic tube and was higher for the cases with smaller a little solution flow rates.

Effect of buoyancy and thermocapillarity on the melt motion and mass transfer for different aspect ratio of flow field in magnetic Czochralski crystal growth of silicon (Cusp 자장이 걸려있는 초크랄스키 실리콘 단결정성장에서 유동장의 종횡비에 따라 부력과 열모세관 현상이 용융물질의 유동과 물질전달에 미치는 영향)

  • 김창녕
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.10 no.3
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    • pp.177-184
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    • 2000
  • The effect of the buyancy and thermocapillarity for differnent aspect ratio of flow field on melt motion and mass transfer has been numerically investigated in magnetic Czochralski crystal growth of silicon. During the process of crystal growth, the melt depth of crucible reduces so the aspect ratio of flow field also reduces. Therefore the shape of magnetic field of the flow field changes and the flow pattern also changes significantly. Together with the melt flow which forms the Marangoni convection (or thermocapillary flow) that comes from the inside the flow field, a flow circulation is observed near the corner close both to the crucible wall and the free surface. Due to this circulation, buoyancy effect has been turned out to be local rather than global. As the aspect ratio decreases, the radial component of the magnetic field prevails compared with the axial component in the flow field. Under the influence of this magnetic field, the melt flow and the temperature distribution in a meridional plane tend to depend on the radial position. As the aspect ratio decreases, the temperature gradient near the edge of the crystal decreases yielding smaller thermocapillarity, and the oxygen concentration near the crystal and the oxygen incorporation rate also decrease.

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Water film covering characteristic on horizontal fuel rod under impinging cooling condition

  • Penghui Zhang;Bowei Wang;Ronghua Chen;G.H. Su;Wenxi Tian;Suizheng Qiu
    • Nuclear Engineering and Technology
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    • v.54 no.11
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    • pp.4329-4337
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    • 2022
  • Jet impinging device is designed for decay heat removal on horizontal fuel rods in a low temperature heating reactor. An experimental system with a fuel rod simulator is established and experiments are performed to evaluate water film covering capacity, within 0.0287-0.0444 kg/ms mass flow rate, 0-164.1 kW/m2 heating flux and 13.8-91.4℃ feeding water temperature. An effective method to obtain the film coverage rate by infrared equipment is proposed. Water film flowing patterns are recoded and the film coverage rates at different circumference angles are measured. It is found the film coverage rate decreases with heating flux during single-phase convection, while increases after onset of nucleate boiling. Besides, film coverage rate is found affected by Marangoni effect and film accelerating effect, and surface wetting is significantly facilitated by bubble behavior. Based on the observed phenomenon and physical mechanism, dry-out depth and initial dry-out rate are proposed to evaluate film covering potential on a heating surface. A model to predict film coverage rate is proposed based on the data. The findings would have reliable guide and important implications for further evaluation and design of decay heat removal system of new reactors, and could be helpful for passive containment cooling research.