| Full text | |
| Author(s): |
da Silva Furlan, Laison Junio
[1]
;
de Araujo, Matheus Tozo
[1]
;
Brandi, Analice Costacurta
[2]
;
de Almeida Cruz, Daniel Onofre
[3]
;
de Souza, Leandro Franco
[1]
Total Authors: 5
|
| Affiliation: | [1] Univ Sao Paulo, Dept Appl Math & Stat, BR-13566590 Sao Carlos - Brazil
[2] Sao Paulo State Univ, Dept Math & Comp Sci, BR-19060900 Presidente Prudente - Brazil
[3] Univ Fed Rio de Janeiro, Dept Mech Engn, BR-21941972 Rio De Janeiro - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | APPLIED SCIENCES-BASEL; v. 11, n. 21 NOV 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |