Mathematical modelling of solidification and melting: A review

被引:378
作者
Hu, H [1 ]
Argyropoulos, SA [1 ]
机构
[1] UNIV TORONTO, DEPT MET & MAT SCI, TORONTO, ON M5S 1A4, CANADA
关键词
D O I
10.1088/0965-0393/4/4/004
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The major methods of mathematical modelling of solidification and melting problems are reviewed in this paper. Different analytical methods, nowadays still used as standard references to validate numerical models, are presented. Various mathematical formulations to numerically solve solidification and melting problems are categorized. Relative merits and disadvantages of each formulation are analysed. Recent advances in modelling solidification and melting problems associated with convective motion of liquid phase are discussed. Based on this comprehensive survey, basic guidelines are outlined to choose a correct mathematical formulation for solving solidification and melting problems.
引用
收藏
页码:371 / 396
页数:26
相关论文
共 101 条
[1]  
Alexiades V., 1993, Mathematical Modeling of Melting and Freezing Processes, DOI 10.1201/9780203749449
[2]  
[Anonymous], 1945, T AM SOC MECH ENG
[3]   THE DISSOLUTION OF TITANIUM IN LIQUID STEEL [J].
ARGYROPOULOS, SA ;
GUTHRIE, RIL .
METALLURGICAL TRANSACTIONS B-PROCESS METALLURGY, 1984, 15 (01) :47-58
[4]  
ARGYROPOULOS SA, 1979, CAN METALL QUART, V18, P267
[5]  
ARGYROPOULOS SA, 1981, THESIS MCGILL U
[6]   NUMERICAL MODELING OF MELTING AND SOLIDIFICATION PROBLEMS - A REVIEW [J].
BASU, B ;
DATE, AW .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 1988, 13 :169-213
[7]   EXPERIMENTAL INVESTIGATION OF NATURAL-CONVECTION IN THE MELTED REGION AROUND A HEATED HORIZONTAL CYLINDER [J].
BATHELT, AG ;
VISKANTA, R ;
LEIDENFROST, W .
JOURNAL OF FLUID MECHANICS, 1979, 90 (JAN) :227-&
[9]   ON THE PERFORMANCE OF THE ENTHALPY METHOD IN THE REGION OF A SINGULARITY [J].
BELL, GE ;
WOOD, AS .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1983, 19 (11) :1583-1592
[10]   MOVING BOUNDARY-PROBLEM - HEAT-CONDUCTION IN THE SOLID-PHASE OF A PHASE-CHANGE MATERIAL DURING MELTING DRIVEN BY NATURAL-CONVECTION IN THE LIQUID [J].
BENARD, C ;
GOBIN, D ;
ZANOLI, A .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1986, 29 (11) :1669-1681