Closed-form solution for the inward unsteady-state solidification of cylinders and spheres: pure metals and eutectics

被引：1
作者：
Ferreira, I. L. [1 ]
Garcia, A. [2 ]
Moreira, A. L. S. [1 ]
机构：
[1] Fed Univ Para, Fac Mech Engn, UFPA, Augusto Correa Ave 1, BR-66075110 Belem, Para, Brazil
[2] Univ Campinas UNICAMP, Dept Mfg & Mat Engn, BR-13083860 Campinas, SP, Brazil
来源：
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY | 2022年 / 147卷 / 16期
关键词：
Transient solidification; Phase change; Global heat transfer coefficient; Pure metals and eutectic alloys solidification; HEAT-TRANSFER COEFFICIENTS; DENDRITE ARM SPACINGS; AL-CU; UNIDIRECTIONAL SOLIDIFICATION; MATHEMATICAL-MODEL; THERMAL PARAMETERS; PHASE-FIELD; DIRECTIONAL SOLIDIFICATION; GROWTH-RATE; ALLOYS;
D O I：
10.1007/s10973-021-11153-y
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, an analytical method previously proposed for one-phase and two-phases transient mass/heat diffusion with reaction is now applied to derive closed-form solutions for the inward transient solidification of cylinders and spheres, considering a global metal/mold heat transfer coefficient. Furthermore, temperature profiles are derived for mold, solid, and liquid phases. The analytical model developed proved to be general, thus permitting to derive closed-form exact analytical solutions for pure metals and eutectics.
引用
收藏
页码：9009 / 9024
页数：16
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