Spherical solidification by the enthalpy method and the heat balance integral method

James Caldwell; Ching-Chuen Chan

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Spherical solidification by the enthalpy method and the heat balance integral method

机译：焓法和热平衡积分法的球形凝固

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摘要

A numerical scheme based on the enthalpy method is applied to spherical solidification. The method provides a means to track the position of the phase front with very little extra effort. The method is compared to the heat balance integral method (HBIM), a front tracking method, which has been previously applied successfully to plane and cylindrical geometry's. The results show that the two methods compare well over a wide range of the Stefan number, except when the Sefan number is small.

机译：将基于焓法的数值方案应用于球形凝固。该方法提供了一种以很少的额外努力来跟踪相前位置的方法。将该方法与热平衡积分法（HBIM）进行了比较，后者是一种前跟踪方法，该方法先前已成功地应用于平面和圆柱几何形状。结果表明，除了Sefan数较小时，这两种方法在很大的Stefan数范围内都可以很好地进行比较。

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《Applied Mathematical Modelling》 |2000年第1期|45-53|共9页
作者
James Caldwell; Ching-Chuen Chan;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Enthalpy method; Heat balance integral method; Sphericla solidification;

机译：焓法;热平衡积分法;球形凝固;

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专利

1. Numerical solutions of the Stefan problem by the enthalpy method and the heat balance integral method [J] . Caldwell J., Chan CC. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 1998,第1期

机译：焓法和热平衡积分法的斯特凡问题数值解
2. Optimising the heat balance integral method in spherical and cylindrical Stefan problems [J] . Ribera H., Myers T. G., MacDevette M. M. Applied mathematics and computation . 2019,第期

机译：优化球形和圆柱稳态问题中的热平衡积分方法
3. A Novel Optimal Power Approach in Heat Balance Integral Method and Refined Integral Method [J] . Feng Ling, Qiuming Liao Pacific journal of applied mathematics . 2013,第3期

机译：热平衡积分法和精细积分法的最优最优功率方法
4. Spherical solidification by the enthalpy method and heat balance integral method [C] . J. Caldwell, Y. Y. Kwan International Conference on Advanced Computational Methods in the Heat Transfer . 2002

机译：通过焓法和热平衡积分法的球形凝固
5. Analysis of conduction heat transfer in semi-infinite slabs and infinite quadrants with discrete heat generation sources using Green's function integral methods. [D] . Meza Castillo, Omar Enrique. 2003

机译：使用格林函数积分法分析具有离散生热源的半无限平板和无限象限中的传导传热。
6. Spherical tensor gradient operator method for integral rotation: A simple efficient and extendable alternative to Slater–Koster tables [O] . Timothy J. Giese, Darrin M. York -1

机译：用于整体旋转的球面张量梯度算子方法：一种简单有效且可扩展的Slater–Koster表替代方案
7. Optimising the heat balance integral method in spherical and cylindrical Stefan problems [O] . H. Ribera, T.G. Myers, M.M. MacDevette 2019

机译：优化球形和圆柱稳定性问题中的热平衡积分方法
8. Enthalpy Method for the Solidification of a Supercooled Liquid [R] . Solomon, A. D., Alexiades, V., Wilson, D. G., 1986

机译：焓法测定过冷液体的固化

Spherical solidification by the enthalpy method and the heat balance integral method

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