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Thermal Kinetics Phase Field Model for the Metals' Solidification -Mathematic Derivation of the Dendrite Growth Phase Field Variable Diffusion Model

机译:枝晶生长相场可变扩散模型的金属凝固 - 微道衍生的热动力学相现场模型

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Phase field equations for simulation of dendritic growth have a history of nearly twenty years. The existing phase field equations are directly derived through the Ginzburg-Landau equations. However, though widely used, the physical meaning of each variable in the equations is not clear. So the domestic and foreign researchers have made a lot of mistakes and interpretation. In this paper, with the solid fraction as a phase field variables in the field, based on thermodynamics and heat transfer theory, author gives a rigorous scientific phase variable diffusion model of the pure metal solidification and its derivation process.
机译:模拟树突增长的相场方程具有近二十年的历史。现有的相场方程直接通过Ginzburg-Landau方程来源。然而,虽然广泛使用,方程中每个变量的物理含义尚不清楚。因此,国内外研究人员犯了很大的错误和解释。本文以实心级分作为现场的相场变量,基于热力学和传热理论,作者提供了纯金属凝固的严谨科学相变扩散模型及其推导过程。

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