Asymptotics and simulation of complex fluids

• Grant number: 15/50094-7
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2015
• End date: July 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Agreement: University of Bath
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: José Alberto Cuminato
• Grantee: José Alberto Cuminato
• Principal researcher abroad: Jonathan David Evans
• Institution abroad: University of Bath, England
• 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

Abstract

This proposal sets out a research plan to investigate a hierarchical set of model equations that describe complex viscoelastic fluids. Such fluids have memory which makes them challenging to understand mathematically and numerically. These types of fluids (AU)

Scientific publications

(4)

(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)

EVANS, J. D.; PALHARES JUNIOR, I. L.; OISHI, C. M.. Stresses of PTT, Giesekus, and Oldroyd-B fluids in a Newtonian velocity field near the stick-slip singularity. Physics of Fluids, v. 29, n. 12, DEC 2017. (15/50094-7, 14/17348-2, 16/20389-8)

EVANS, J. D.; OISHI, C. M.. Transient computations using the natural stress formulation for solving sharp corner flows. Journal of Non-Newtonian Fluid Mechanics, v. 249, p. 48-52, NOV 2017. (15/50094-7, 13/07375-0)

EVANS, JONATHAN D.; FRANCA, HUGO L.; OISHI, CASSIO M.. Application of the natural stress formulation for solving unsteady viscoelastic contraction flows. Journal of Computational Physics, v. 388, p. 462-489, JUL 1 2019. (15/50094-7, 13/07375-0, 16/00456-2, 17/04471-9)

TOME, M. F.; ARAUJO, M. T.; EVANS, J. D.; MCKEE, S.. Numerical solution of the Giesekus model for incompressible free surface flows without solvent viscosity. Journal of Non-Newtonian Fluid Mechanics, v. 263, p. 104-119, JAN 2019. (15/50094-7, 13/07375-0)