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

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., [<i>Journal of Non-Newtonian Fluid Mechanics</i>, <b>40<...

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Autores principales:	Laison Junio da Silva Furlan, Matheus Tozo de Araujo, Analice Costacurta Brandi, Daniel Onofre de Almeida Cruz, Leandro Franco de Souza
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Giesekus model flow between two parallel plates exact solution numerical solution high-order approximations high Weissenberg number Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/6ad6dabc5645441c8405800bad703754
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spelling	oai:doaj.org-article:6ad6dabc5645441c8405800bad7037542021-11-11T15:10:46ZDifferent Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates10.3390/app1121101152076-3417https://doaj.org/article/6ad6dabc5645441c8405800bad7037542021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10115https://doaj.org/toc/2076-3417This 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., [<i>Journal of Non-Newtonian Fluid Mechanics</i>, <b>40</b>, 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.Laison Junio da Silva FurlanMatheus Tozo de AraujoAnalice Costacurta BrandiDaniel Onofre de Almeida CruzLeandro Franco de SouzaMDPI AGarticleGiesekus modelflow between two parallel platesexact solutionnumerical solutionhigh-order approximationshigh Weissenberg numberTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10115, p 10115 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Giesekus model flow between two parallel plates exact solution numerical solution high-order approximations high Weissenberg number Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	Giesekus model flow between two parallel plates exact solution numerical solution high-order approximations high Weissenberg number Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Laison Junio da Silva Furlan Matheus Tozo de Araujo Analice Costacurta Brandi Daniel Onofre de Almeida Cruz Leandro Franco de Souza Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates
description	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., [<i>Journal of Non-Newtonian Fluid Mechanics</i>, <b>40</b>, 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.
format	article
author	Laison Junio da Silva Furlan Matheus Tozo de Araujo Analice Costacurta Brandi Daniel Onofre de Almeida Cruz Leandro Franco de Souza
author_facet	Laison Junio da Silva Furlan Matheus Tozo de Araujo Analice Costacurta Brandi Daniel Onofre de Almeida Cruz Leandro Franco de Souza
author_sort	Laison Junio da Silva Furlan
title	Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates
title_short	Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates
title_full	Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates
title_fullStr	Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates
title_full_unstemmed	Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates
title_sort	different formulations to solve the giesekus model for flow between two parallel plates
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/6ad6dabc5645441c8405800bad703754
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Different Formulations to Solve the Giesekus Model for Flow between Two Parallel Plates

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