论文标题
与鲁宾斯坦二进制合金固化问题有关的明确解决方案与固定脸部的热通量或对流条件有关
Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face
论文作者
论文摘要
在半无限材料中开发了两相鲁宾斯坦二元合金固化问题的相似性解决方案。这些新的显式解决方案是通过考虑两种情况来获得的：固定面的热通量或对流边界条件，并且还提供了数据的必要条件，以便具有瞬时的固化过程。我们还表明，在数据的某些限制下，二进制合金固化问题的所有解决方案都是等效的。此外，这意味着表征鲁宾斯坦解决方案固化前端的系数必须验证不等式作为所有热和边界条件的函数。
Similarity solutions for the two-phase Rubinstein binary-alloy solidification problem in a semi-infinite material are developed. These new explicit solutions are obtained by considering two cases: a heat flux or a convective boundary conditions at the fixed face, and the necessary and sufficient conditions on data are also given in order to have an instantaneous solidification process. We also show that all solutions for the binary-alloy solidification problem are equivalent under some restrictions for data. Moreover, this implies that the coefficient which characterizes the solidification front for the Rubinstein solution must verify an inequality as a function of all thermal and boundary conditions.
