Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution / Lee Daniel,Alexandrov Dmitri,Huang H. -N. // NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS. - 2012. - V. 5, l. 2. - P. 157-185.

ISSN/EISSN:
1004-8979 / нет данных
Type:
Article
Abstract:
The numerical modeling of a binary solidification with a mushy layer mechanism is considered in this manuscript. The nonlinear coupled system of equations describes the heat and mass diffusions of a one-dimensional spatial variable in the semi-infinite interval. Also formulated is a transformed system in a finite interval. We propose numerical methods for solving the nonlinear system using a threshold strategy based on fixed computation-domain approach. Our calculated results and those from the LeadEx field experiment are well-matched in their tendencies.
Author keywords:
Direct numerical simulation; Heat and mass transfer; Mushy layer; Solidification; Stefan problem FREE-BOUNDARY PROBLEMS; STEFAN PROBLEM; EQUATIONS; ZONE; EXISTENCE
DOI:
10.4208/nmtma.2012.m1029
Web of Science ID:
ISI:000306790000002
Соавторы в МНС:
Другие поля
Поле Значение
Month MAY
Publisher GLOBAL SCIENCE PRESS
Address ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA
Language English
Keywords-Plus FREE-BOUNDARY PROBLEMS; STEFAN PROBLEM; EQUATIONS; ZONE; EXISTENCE
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email danlee@thu.edu.tw Dmitri.Alexandrov@usu.ru nhuang@thu.edu.tw
ResearcherID-Numbers Alexandrov, Dmitri/D-2516-2016
ORCID-Numbers Alexandrov, Dmitri/0000-0002-6628-745X
Funding-Acknowledgement Federal Target Program ``Scientific and Academic - Teaching Staff of Innovative Russia{''}; Russian Foundation for Basic Research {[}11-01-00137]; Institute of Mathematics Academia Sinica, Taiwan
Funding-Text The authors express their sincere gratitude to the Institute of Mathematics Academia Sinica, Taiwan, for support during summer 2008. D. V. Alexandrov thanks the following grants and programs for financial support: the Federal Target Program ``Scientific and Academic - Teaching Staff of Innovative Russia{''} in 2009 - 2013 and Russian Foundation for Basic Research (project No 11-01-00137).
Number-of-Cited-References 38
Usage-Count-Since-2013 2
Journal-ISO Numer. Math.-Theory Methods Appl.
Doc-Delivery-Number 979BN