Mathematical modelling of macrosegregation on binary alloys induced by convection

• Grant number: 16/12678-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2016
• End date: October 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: José Alberto Cuminato
• Grantee: Milton de Oliveira Assunção Junior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID
• Associated scholarship(s): 19/09418-4 - Three topics in industrial applied mathematics, BE.EP.DR

Abstract

The occurrence of macrosegregation in ingot casting can actuate to depletion of the product's final quality. Such formation can be described as an severe variation on macroscopic scale of chemical species that compose the alloy, and the prediction of such occurrences via computational simulations has yet to be improved.Therefore, this research focus on the development of bi-dimensional mathematical model that - through computational simulations - could be applied to study and predict the formation of macrosegregation during the manufacturing process of binary alloys. Once accomplished these goals, this work can establish the framework to new studies that may tackles more advanced problems, e.g., tri-dimensional models or more diverse alloys.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ASSUNCAO, M.; VYNNYCKY, M.; MITCHELL, S. L.. n small-time similarity-solution behaviour in the solidification shrinkage of binary alloy. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, v. 32, n. 2, p. 199-225, APR 2021. (18/07643-8, 16/12678-0)

VYNNYCKY, M.; ASSUNCAO, M.. On the significance of sulphuric acid dissociation in the modelling of vanadium redox flow batteries. JOURNAL OF ENGINEERING MATHEMATICS, v. 123, n. 1, p. 173-203, AUG 2020. (16/12678-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ASSUNÇÃO JUNIOR, Milton de Oliveira. Mathematical modelling of macrosegregation in binary alloys induced by convection. 2021. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.