INWARD SOLIDIFICATION OF SPHERES AND CIRCULAR-CYLINDERS
INWARD SOLIDIFICATION OF SPHERES AND CIRCULAR-CYLINDERS
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DOI：
10.1016/0017-9310(74)90061-1
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发表时间：
1974-01-01
影响因子：
5.2
通讯作者：
POOTS, G
中科院分区：
文献类型：
--
作者：
RILEY, DS;SMITH, FT;POOTS, G
本文分析了一个球体或圆柱体在熔合温度下初始处于熔融状态时，当其外表面突然冷却时向内冻结的过程。除其他外，该处理假定热性能恒定，并且参数β，即物质的潜热与显热之比，很大。首先推导出基本级数解，然后进行两区域分析，以适应球体或圆柱体中心凝固前热剖面的急剧变化。虽然理论本质上是严格渐进的，但结果与β= 10和20（圆柱体）和β= 10（球体）的完整问题的数值解比较好。
An analytical study is presented of the inward freezing of a sphere or a circular cylinder, initially molten and at the fusion temperature, when the outside surface is suddenly cooled. The treatment assumes, among other things, constant thermal properties and that the parameter β, the ratio of the latent heat to the sensible heat of the substance, is large. Basic series solutions are first derived and these are then followed by a two-region analysis which is needed to accommodate the sharp change in thermal profile just before the centre of the sphere or the cylinder solidifies. Although the theory is strictly asymptotic in nature, results compare well with numerical solutions of the full problem forβ= 10and20 (cylinder) andβ= 10 (sphere).