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A unified approach for three-dimensional finite element calculation of electromagnetic and fluid flow fields in material processing systems.

机译：材料处理系统中电磁和流体流场的三维有限元统一计算方法。

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摘要

The current research, which falls within the general area of magnetohydrodynamics, addresses the fundamental understanding of the principles underlying coupled electromagnetic, fluid flow, and heat transfer phenomena in materials processing operations.; A general three-dimensional finite element based computational methodology for the numerical simulation of steady magnetohydrodynamic (MHD) flows in material processing systems has been developed. This involves the coupled solution of the Maxwell's equations in conjunction with the turbulent Navier-Stokes equations. The electromagnetic field algorithm is based on the current vector potential formulation of the Maxwell's equations and, unlike conventional formulations, did not impose a gauge condition, and was capable of solving the field in multiply connected domains without solving the field in free space.; The developed methodology was validated against problems with closed form solution. The error in numerical predictions was found to be within 1% of the analytical solution, which is within acceptable level of numerical accuracy. It was also found that the numerical solution was a function of the number of grids within the skin depth.; The developed methodology was subsequently applied to a practical system of interest--inclusion removal from molten metal by the application of electromagnetic force. In particular, a solid non-conducting spherical particle of radius, R, at the center of a cuboid of edge length 2L was considered. It was found that the numerical prediction approached the analytical solution of a sphere in an infinite media at the limit of decreasing (R/L). Further, the effect of confinement on the separation force was investigated. The separation force was found to increase with increasing (R/L). In addition, the effect of the inclusion of (uxB) term on the solution was investigated. It was found that the magnetic field damped the flow anisotropically in general.
机译：当前的研究属于磁流体力学的一般领域，致力于对材料加工过程中电磁，流体流动和传热现象耦合的原理的基本理解。已经开发了一种基于三维有限元的通用计算方法，用于材料处理系统中稳态磁流体动力学（MHD）流动的数值模拟。这涉及麦克斯韦方程组与湍流纳维-斯托克斯方程组的耦合解。电磁场算法基于麦克斯韦方程组的当前矢量电势公式，与传统公式不同，它没有施加规范条件，并且能够求解多重连接域中的磁场，而无需求解自由空间中的磁场。所开发的方法已针对封闭式解决方案中的问题进行了验证。发现数值预测中的误差在分析解决方案的1％以内，这在数值精度的可接受水平内。还发现数值解是趋肤深度内网格数量的函数。随后将开发的方法应用于感兴趣的实际系统-通过施加电磁力从熔融金属中去除夹杂物。特别地，考虑了在边缘长度为2L的长方体的中心处的半径为R的固体非导电球形颗粒。结果发现，数值预测接近于无限大介质中球体的解析解（R / L）。此外，研究了限制对分离力的影响。发现分离力随（R / L）的增加而增加。另外，研究了包含（uxB）项对溶液的影响。已经发现，磁场通常各向异性地阻尼流动。

著录项

  • 作者

    Natarajan, Thinium T.;

  • 作者单位

    The University of Alabama.;

  • 授予单位 The University of Alabama.;
  • 学科 Engineering Metallurgy.; Engineering Materials Science.
  • 学位 Ph.D.
  • 年度 1997
  • 页码 195 p.
  • 总页数 195
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 冶金工业;工程材料学;
  • 关键词

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