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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)


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Vynnycky, M. [1, 2] ; Assuncao, M. [3]
Total Authors: 2
[1] Univ Limerick, Dept Math & Stat, Limerick V94 T9PX - Ireland
[2] KTH Royal Inst Technol, Dept Mat Sci & Engn, S-10044 Stockholm - Sweden
[3] Univ Sao Paulo Sao Carlos, Inst Math & Comp Sci, Dept Appl Math & Stat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: SIAM JOURNAL ON APPLIED MATHEMATICS; v. 79, n. 4, p. 1147-1172, 2019.
Web of Science Citations: 0

Asymptotic methods are used to analyze a time-dependent two-dimensional (2D) model for the operation of a vanadium redox flow battery-an energy storage technology that has attracted much attention recently. The model takes into account mass, momentum, and charge conservation involving a total of seven ionic species in two porous electrodes that are separated by a proton exchange membrane and attached to external recirculating tanks. In particular, we demonstrate a self-consistent asymptotic reduction of the original model. From this, we identify the presence of concentration boundary layers in each porous electrode at its interface with the membrane, and are able to explain the linear evolution in time of the inlet concentrations of the reacting ionic species-an assumption used in earlier models but never justified. The results of the asymptotic model, which ultimately requires only the numerical solution of four coupled nonlinear ordinary differential equations, are found to compare favorably with those of the original 2D transient problem, which involves 11 coupled nonlinear partial differential equations and two algebraic relations. The solution of the fully reduced asymptotic model is found to require around 300 times less computational time than that of the original model. (AU)

FAPESP's process: 13/15875-2 - Mathematical modelling of vanadium redox batteries
Grantee:Milton de Oliveira Assunção Junior
Support type: Scholarships in Brazil - Master
FAPESP's process: 14/03787-4 - Mathematical modelling of vanadium redox batteries
Grantee:Milton de Oliveira Assunção Junior
Support type: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 18/07643-8 - Industrial mathematics and practical asymptotics
Grantee:José Alberto Cuminato
Support type: Research Grants - Visiting Researcher Grant - International