• 제목/요약/키워드: Marangoni Convection

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

  • Kim, Chang Nyung
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제4권1호
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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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계면활성제를 이용한 수평관군 흡수기의 전열촉진 (Heat Transfer Enhancement with Surfactants in Horizontal Bundle Tubes on Absorber)

  • 설원실;권오경;문춘근;윤정인
    • 대한기계학회논문집B
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    • 제24권8호
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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.

Cusp 자장이 걸려있는 초크랄스키 실리콘 단결정성장에서 유동장의 종횡비에 따라 부력과 열모세관 현상이 용융물질의 유동과 물질전달에 미치는 영향 (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)

  • 김창녕
    • 한국결정성장학회지
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    • 제10권3호
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    • pp.177-184
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    • 2000
  • 약한 cusp 자장이 가하여진 Czochralski실리콘 단결정 성장에서 유동장의 종횡비에 따라 부력과 열모세관 현상이 용융물질의 유동과 물질(산소)전달에 미치는 영향이 수치적인 방법으로 연구되었다. 실리콘 단결정 성장이 진행됨에 따라 도가니안의 용융물질의 깊이가 즐어들어 유동장의 종횡비가 감소하고, 이에 따라 현존하는 유동장에 작용하는 자장의 상대적인 형태가 변화하므로 유동의 형태가 계속 변화한다. 유동장 내부에서 자유표면으로 접근하여 Marangoni 대류를 구성하는 용융물질의 흐름(열모세관 현상)과 함께 도가니 벽 근처의 자유표면 바로 아래에서 순환류가 발생하는데, 이 순환류의 존재로 인하여 부력의 효과가 “전반적으로”나타나지 않고 도리어 “국소적으로”나타나는 특성을 갖는다. 종횡비가 작아질수록 유동장의 대부분에서 자장의 반경방향 성분이 축방향 성분보다 우세하여 용융물질의 유동은 횡방향 성분(수평성분)이 현저해지므로 자오면에서의 온도분포는 점차 반경방향에 의존하는 특성을 갖게 된다 종횡비가 작아질수록 결정의 가장자리에서 온도구배가 작아지며 따라서 열모세관 현상포 약화된다 또 이때 결정주위의 산소의 농도가 작아지며 따라서 흡수되는 산소의 양도 작아진다.

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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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    • 제54권11호
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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.