Flow Instabilites and Their Impact on Czochralski Crystal Growth in the Presence of an Axial

流动不稳定性及其对存在轴向的直拉晶体生长的影响

• 批准号: 9321876
• 负责人: Gita Talmage
• 金额: $ 12万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9321876&HistoricalAwards=false
• 关键词: Flow; Instabilites; Their; Impact; Czochralski

ABSTRACT CTS-9321876 Pennsylvania State University P. I.: Gita Talmage This work consists of numerical and analytical research on the effect of magnetic fields on the Czochralski crystal-growth process. The unique feature rests with the examination of magnet fields flow instabilities that affect crystal growth. There are two principal problems to be examined. The first consists of the transition from steady laminar to unsteady, periodic laminar flow within an interior. The second focuses on flow instabilities due to thermocapillary effects. These problems are posed in terms of the equations of magnetohydrodynamics in which added to the usual Navier-Stokes equations are terms that model the production of momentum due to the electromagnetic filed. Czochralski crystal-growth is a widely used microelectronics. The melt is an electrically conducting fluid and, is often in the presence of a magnet field which strongly influence the bulk flows and hence the quality of the final product.

摘要CTS-9321876宾夕法尼亚州立大学P.I.： 吉塔塔玛格 本工作包括数值和分析研究磁场对直拉法晶体生长过程的影响。 其独特之处在于对影响晶体生长的磁场流动不稳定性的研究。 有两个主要问题需要研究。 第一种是从定常层流到非定常周期性层流的过渡。 第二个重点是由于热毛细效应的流动不稳定性。 这些问题是根据磁流体力学方程提出的，其中在通常的纳维-斯托克斯方程中添加了模拟电磁场产生动量的项。 提拉法晶体生长是一种应用广泛的微电子技术。 熔体是一种导电流体，并且经常处于磁场的存在下，这强烈影响整体流动，从而影响最终产品的质量。