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 |
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| Přispěvatelé: | Universidade de São Paulo (USP), Universidade Estadual Paulista (UNESP), Federal University of Rio de Janeiro |
| Rok vydání: | 2021 |
| Předmět: |
Technology
Work (thermodynamics) exact solution QH301-705.5 High Weissenberg number QC1-999 Numerical solution Constitutive equation flow between two parallel plates Physics::Fluid Dynamics Fluid dynamics Giesekus model General Materials Science High-order approximations Biology (General) high Weissenberg number QD1-999 Instrumentation Mathematics Fluid Flow and Transfer Processes numerical solution Flow between two parallel plates Computer simulation Exact solution high-order approximations Physics Process Chemistry and Technology General Engineering Fluid mechanics Mechanics Engineering (General). Civil engineering (General) DINÂMICA DOS FLUÍDOS Computer Science Applications Numerical integration Chemistry Exact solutions in general relativity Flow (mathematics) TA1-2040 |
| 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 |
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