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

页码：9009 / 9024

页数：16

共 64 条

[1] Effects of Growth Rates and Compositions on Dendrite Arm Spacings in Directionally Solidified Al-Zn Alloys
Acer, Emine
Cadirli, Emin
Erol, Harun
Kaya, Hasan
Gunduz, Mehmet
[J]. METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 2017, 48A (12): : 5911 - 5923
[2] Effect of Growth Rate on the Microstructure and Microhardness in a Directionally Solidified Al-Zn-Mg Alloy
Acer, Emine
Cadirli, Emin
Erol, Harun
Gunduz, Mehmet
[J]. METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 2016, 47A (06): : 3040 - 3051
[3] Analytical solutions of mushy layer equations describing directional solidification in the presence of nucleation
Alexandrov, Dmitri V.
Ivanov, Alexander A.
Alexandrova, Irina V.
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 376 (2113):
[4] Three-dimensional characterization of dendritic microstructures
Alkemper, J
Voorhees, PW
[J]. ACTA MATERIALIA, 2001, 49 (05) : 897 - 902
[5] Modeling of equiaxed growth in multicomponent alloys accounting for convection and for the globular/dendritic morphological transition
Appolaire, Benoit
Combeau, Herve
Lesoult, Gerard
[J]. MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2008, 487 (1-2): : 33 - 45
[6] Tailoring of Processing Parameters, Dendritic Microstructure, Si/Intermetallic Particles and Microhardness in As-cast and Heat-Treated Samples of Al7Si0.3Mg Alloy
Barbosa, Carolina R.
Machado, Gabriel H.
Azevedo, Hugo M.
Rocha, Fernando S.
Filho, Jose C.
Pereira, Arielly A.
Rocha, Otavio L.
[J]. METALS AND MATERIALS INTERNATIONAL, 2020, 26 (03) : 370 - 383
[7] Barros A. S., 2016, Defect and Diffusion Forum, V367, P10, DOI 10.4028/www.scientific.net/DDF.367.10
[8] Horizontally Solidified Al-3wt%Cu-(0.5wt%Mg) Alloys: Tailoring Thermal Parameters, Microstructure, Microhardness, and Corrosion Behavior
Barros, Andre
Cruz, Clarissa
Silva, Adrina P.
Cheung, Noe
Garcia, Amauri
Rocha, Otavio
Moreira, Antonio
[J]. ACTA METALLURGICA SINICA-ENGLISH LETTERS, 2019, 32 (06) : 695 - 709
[9] Thermal conductivity and electrical resistivity dependences on growth rate in the directionally solidified Al-Cu-Ni eutectic alloy
Bayram, Umit
Marasli, Necmettin
[J]. JOURNAL OF ALLOYS AND COMPOUNDS, 2018, 753 : 695 - 702
[10] Prediction of dendrite arm spacings in unsteady- and steady-state heat flow of unidirectionally solidified binary alloys
Bouchard, D
Kirkaldy, JS
[J]. METALLURGICAL AND MATERIALS TRANSACTIONS B-PROCESS METALLURGY AND MATERIALS PROCESSING SCIENCE, 1997, 28 (04): : 651 - 663

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