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EFFECTS OF INTERNAL HEAT GENERATION ON SOLIDIFICATION

机译:内部生热对凝固的影响

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摘要

We present solutions for solid-liquid phase change in materials that generate internal heat. This problem is solved for both cylindrical and semi-infinite geometries. The analysis assumes a temperature profile in the solid phase and constant temperature boundary conditions on the exposed surfaces. We derive differential equations governing the solidification thickness for both geometries as functions of the Stefan number and the internal heat generation (IHG). For the cylindrical geometry, the solidification layer obtains a steady-state value which is related to the inverse of the square root of the IHG. The solutions to the semi-infinite geometry problem show that when the surface is cooled to below the freezing point, a solidification layer forms along the edge and begins to grow until it reaches a maximum, then begins remelt.
机译:我们提出了产生内部热量的材料中固液相变的解决方案。圆柱和半无限几何均解决了此问题。该分析假设固相温度曲线和暴露表面的恒定温度边界条件。我们推导了控制两种几何形状的凝固厚度的微分方程,它们是Stefan数和内部热量(IHG)的函数。对于圆柱几何形状,凝固层获得的稳态值与IHG平方根的倒数有关。对半无限几何问题的解决方案表明,当表面冷却到凝固点以下时,凝固层会沿着边缘形成并开始生长直至达到最大值,然后开始重新凝固。

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