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

摘要CTS-9321876宾夕法尼亚州立大学P.I.：Gita Talmage这项工作包括对磁场对直拉单晶生长过程影响的数值和分析研究。其独特之处在于对影响晶体生长的磁场流动不稳定性的检查。有两个主要问题需要研究。第一种包括从定常层流到内部非定常周期性层流的转变。第二个重点是热毛细管效应引起的流动不稳定性。这些问题是根据磁流体力学方程提出的，在通常的Navier-Stokes方程的基础上增加了模拟电磁场产生动量的项。直拉法生长晶体是一种应用广泛的微电子技术。熔体是一种导电流体，通常在磁场的存在下，强烈影响块体流动，从而影响最终产品的质量。

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.