Three topics in industrial applied mathematics

• Grant number: 19/09418-4
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: June 01, 2019
• End date: May 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: José Alberto Cuminato
• Grantee: Milton de Oliveira Assunção Junior
• Supervisor: Michael Vynnycky
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: University of Limerick (UL), Ireland
• Associated to the scholarship: 16/12678-0 - Mathematical modelling of macrosegregation on binary alloys induced by convection, BP.DR

Abstract

The main topic of research addresses the occurrence of macrosegregation in ingot casting, a phenomena that 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.Two side problems will also be approached as a mean to diversify and interact with the broadly experienced group of researchers in industrial applied mathematics at the University of Limerick, namely: the mathematical modelling of Vanadium Redox Batteries, and drug dissolution on coronary stents.