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arXiv 1208.4934cond-mat.mtrl-sci
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快速凝固过冷纯熔体的终态传热

Heat transfer in rapidly solidifying supercooled pure melt during final transient

G. L. Buchbinder, V. A. Volkov

摘要:

建立了一维过冷熔体凝固末期的传热模型。确定温度分布的Stefan问题的条件下,解决了(i)界面接近试样表面以恒定的速度$V$ ;(ii)的凝固潜热线性依赖于界面温度;(iii)所有的物理量给出的界面位置的指数函数的线性组合。首先,我们找到相应的双曲Stefan问题的解决方案,在该框架内的热传递是由电报方程描述。然后,通过极限转移$V/V_H \rightarrow 0$ $(V_H \rightarrow \infty)$,得到了初始抛物Stefan问题的解,其中$ V_H $是热扰动的传播速度,其中双曲热模型转化为抛物热模型.

英文摘要:

The heat transfer model for a one-dimensional supercooled melt during the final stage of solidification is considered. The Stefan problem for the determination of the temperature distribution is solved under the condition that (i) the interface approaches the specimen surface with a constant velocity $V$; (ii) the latent heat of solidification linearly depends on the interface temperature; (iii) all the physical quantities given at the phase boundary are presented by linear combinations of the exponential functions of the interface position. First we find the solution of the corresponding hyperbolic Stefan problem within the framework of which the heat transfer is described by the telegraph equation. The solution of the initial parabolic Stefan problem is then found as a result of the limiting transition $V/V_H \rightarrow 0$ $(V_H \rightarrow \infty)$, where $ V_H $ is the velocity of the propagation of the heat disturbances, in which the hyperbolic heat model teds to the parabolic one.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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