...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Solidification of a finite slab with convective cooling and shrinkage
【24h】

Solidification of a finite slab with convective cooling and shrinkage

机译：对流冷却和收缩使有限平板凝固

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We consider the one-dimensional solidification of a finite slab of a pure substance which is initially in liquid state. Convective cooling is applied at one end of the slab while the other end is kept adiabatic. There is a precooling stage before solidification begins. A void, which has substantial overall effect on the solidification of the slab, is formed at the cooled end due to shrinkage and grows during solidification. Perturbation analysis for small Stefan numbers e is used to find the interface position and temperature distributions in both solid and liquid phases. The order of magnitude of the Biot number at the cold end, Bi, determines the nature of the solution. Regular and two time-scale perturbation solutions are obtained for Bi ～ O(ε~(-1/2)) and Bi ～ O(1), respectively. The results can be extended to other orders of magnitude, as well as to slowly-varying time-dependent Bi. The results agree well with special cases in the literature, and with numerical solutions calculated using the enthalpy method.
机译：我们考虑一开始是液态的纯净物质的有限平板的一维凝固。在平板的一端进行对流冷却，而另一端保持绝热。在凝固开始之前有一个预冷阶段。对板坯的固化具有实质性总体影响的空隙由于收缩而在冷却端形成并在固化过程中生长。小Stefan数e的摄动分析用于找到固相和液相的界面位置和温度分布。冷端的毕奥数的数量级Bi决定了溶液的性质。分别获得了Bi〜O（ε〜（-1/2））和Bi〜O（1）的规则和两个时标摄动解。结果可以扩展到其他数量级，也可以扩展到随时间变化的Bi。结果与文献中的特殊情况以及使用焓法计算的数值解非常吻合。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号