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Dual Phase Lag Model of Melting Process in Domain of Metal Film Subjected to an External Heat Flux

机译:外部热流作用下金属膜域熔化过程的双相滞后模型

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Heating process in the domain of thin metal film subjected to a strong laser pulse are discussed. The mathematical model of the process considered is based on the dual-phase-lag equation (DPLE) which results from the generalized form of the Fourier law. This approach is, first of all, used in the case of micro-scale heat transfer problems (the extremely short duration, extreme temperature gradients and very small geometrical dimensions of the domain considered). The external heating (a laser action) is substituted by the introduction of internal heat source to the DPLE. To model the melting process in domain of pure metal (chromium) the approach basing on the artificial mushy zone introduction is used and the main goal of investigation is the verification of influence of the artificial mushy zone ‘width’ on the results of melting modeling. At the stage of numerical modeling the author’s version of the Control Volume Method is used. In the final part of the paper the examples of computations and conclusions are presented.
机译:讨论了金属薄膜在强激光脉冲作用下的加热过程。所考虑过程的数学模型基于双相滞后方程(DPLE),该方程由傅立叶定律的广义形式得出。首先,这种方法用于微观尺度的传热问题(极短的持续时间,极高的温度梯度和所考虑域的极小的几何尺寸)。外部加热(激光作用)被内部热源引入DPLE所代替。为了模拟纯金属(铬)域中的熔化过程,使用了基于人工糊状区引入的方法,主要研究目标是验证人工糊状区“宽度”对熔化建模结果的影响。在数值建模阶段,使用作者的“控制量方法”版本。在论文的最后部分给出了计算和结论的例子。

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