A steady solution of the gasar eutectic growth in directional solidification

This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε≤1, where ε is defined as the ratio of half an inter-pore...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 22; no. 7; pp. 547 - 554
Main Author 李向明 李文琼 金青林 周荣
Format Journal Article
LanguageEnglish
Published 01.07.2013
Subjects
Diffusion length
Directional solidification
Eutectics
Gas pressure
Mathematical analysis
Mathematical models
Melts
Peclet数
Porosity
Scale (ratio)
共晶生长
匹配方法
定向凝固
扩散长度
数学模型
气体压力
稳定
Online AccessGet full text

Cover

More Information
Summary:This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε≤1, where ε is defined as the ratio of half an inter-pore spacing and solutal diffusion length. We also give the interfacial shape and predict the porosity of gasar eutectic growth. Results show that porosity is mainly dependent on gas pressure above the metal melt, but independent of pulling velocity. Our predicted results are in agreement with experimental data.
Bibliography:Li Xiang-Ming, Li Wen-Qiong, Jin Qing-Lin, Zhou Rong School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, China
This paper presents the general mathematical model on gasar eutectic growth in directional solidification. Using multiple scale expansion and matching method, we obtain the global steady solution of gasar eutectic growth as the Peclet number ε≤1, where ε is defined as the ratio of half an inter-pore spacing and solutal diffusion length. We also give the interfacial shape and predict the porosity of gasar eutectic growth. Results show that porosity is mainly dependent on gas pressure above the metal melt, but independent of pulling velocity. Our predicted results are in agreement with experimental data.
porosity;solidification;gasar eutectic growth;asymptotic solution
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/7/078101