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首页> 外文期刊>International Journal of Heat and Mass Transfer >A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
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A cubic heat balance integral method for one-dimensional melting of a finite thickness layer

机译：有限厚度层一维熔化的立方热平衡积分法

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摘要

The work in this paper concerns the one-dimensional melting of a finite thickness layer. An asymptotic series solution describes the temperature in the melt regions. In the solid region the thermal boundary layers are approximated by a cubic polynomial. Results are compared with the exact solution for a semi-infinite block, and shown to agree to within less than 1%. The method is then applied to a situation where no analytical solution is available. A finite thickness frozen solid is placed on a warm substrate in a warm environment: initially the base of the solid heats to the melting temperature when a single melted region develops and subsequently a second melting front appears on the top boundary. We also present an example relevant to heating an ice layer from below, which occurs with de-icing systems.
机译：本文的工作涉及有限厚度层的一维熔化。渐近级数解描述了熔融区域的温度。在固体区域中，热边界层由三次多项式近似。将结果与半无限块的精确解进行比较，结果表明该结果小于1％。然后将该方法应用于没有分析解决方案可用的情况。将有限厚度的冷冻固体放在温暖的环境中的温暖基材上：当形成单个熔化区域时，固体底部最初加热到熔化温度，随后第二个熔化前沿出现在顶部边界上。我们还提供了一个与从下面加热冰层相关的示例，这在除冰系统中会发生。

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