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首页> 外文期刊>Journal of Crystal Growth >Solidification with a quasiequilibrium mushy region: exact analytical solution of nonlinear model.
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Solidification with a quasiequilibrium mushy region: exact analytical solution of nonlinear model.

机译:准平衡糊状区域的凝固:非线性模型的精确解析解。

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摘要

A set of nonlinear equations describing solidification of a binary melt in the presence of a quasiequilibrium mushy region is solved analytically in the case of an arbitrary dependence of effective coefficients of heat and mass transfer. Concentration, temperature distributions and a bulk fraction of the solid phase in a mushy region are found as Functions of a spatial coordinate for unidirectional quasistationary regime of solidification. An algebraic equation for The bulk fraction of the solid phase at the solid-mushy region interface is also deduced. The mushy region width is Found as a function of given physical and operating parameters of solidification. On the basis of obtained solutions the Regime of solidification with the quasiequilibrium mushy zone is replaced by equivalent discontinuity surface (frontal) Regime with new boundary conditions.
机译:在热和质量传递的有效系数有任意依赖性的情况下,可以解析地求解一组描述在准平衡糊状区域存在下二元熔体凝固的非线性方程。发现糊状区域中的浓度,温度分布和固相的体积分数作为单向准稳态凝固的空间坐标的函数。还推导了固溶区界面处固相体积分数的代数方程。发现糊状区域的宽度是凝固的给定物理和操作参数的函数。在获得的解决方案的基础上,将具有准平衡糊状区的凝固区替换为具有新边界条件的等效不连续表面(额叶)区。

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