Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates

Autor: Matheus Tozo de Araujo, Leandro Franco de Souza, Analice Costacurta Brandi, Daniel Onofre de Almeida Cruz, Laison Junio da Silva Furlan
Přispěvatelé: Universidade de São Paulo (USP), Universidade Estadual Paulista (UNESP), Federal University of Rio de Janeiro
Rok vydání: 2021
Předmět:
Zdroj: Applied Sciences
Volume 11
Issue 21
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Applied Sciences, Vol 11, Iss 10115, p 10115 (2021)
ISSN: 2076-3417
DOI: 10.3390/app112110115
Popis: This work presents different formulations to obtain the solution for the Giesekus constitutive model for a flow between two parallel plates. The first one is the formulation based on work by Schleiniger, G
Weinacht, R.J., [Journal of Non-Newtonian Fluid Mechanics, 40, 79–102 (1991)]. The second formulation is based on the concept of changing the independent variable to obtain the solution of the fluid flow components in terms of this variable. This change allows the flow components to be obtained analytically, with the exception of the velocity profile, which is obtained using a high-order numerical integration method. The last formulation is based on the numerical simulation of the governing equations using high-order approximations. The results show that each formulation presented has advantages and disadvantages, and it was investigated different viscoelastic fluid flows by varying the dimensionless parameters, considering purely polymeric fluid flow, closer to purely polymeric fluid flow, solvent contribution on the mixture of fluid, and high Weissenberg numbers.
Databáze: OpenAIRE