| Full text | |
| Author(s): |
Bertoco, Juliana
[1]
;
Leiva, Rosalia T.
[2]
;
Ferras, Luis L.
[3]
;
Afonso, Alexandre M.
[4]
;
Castelo, Antonio
[2]
Total Authors: 5
|
| Affiliation: | [1] Univ Estado Mato Grosso, Fac Ciencias Exatas & Tecnol, Caceres 78217-900, BR-78217900 Caceres, MT - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil
[3] Univ Minho, Ctr Math CMAT, Campus Azurem, P-4800058 Guimaraes - Portugal
[4] Univ Porto, Fac Engn, Dept Engn Mecan, Ctr Estudos Fenomenos Transporte, P-4200465 Porto - Portugal
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | APPLIED SCIENCES-BASEL; v. 11, n. 21 NOV 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work, we present a numerical study on the development length (the length from the channel inlet required for the velocity to reach 99% of its fully-developed value) of a pressure-driven viscoelastic fluid flow (between parallel plates) modelled by the generalised Phan-Thien and Tanner (gPTT) constitutive equation. The governing equations are solved using the finite-difference method, and, a thorough analysis on the effect of the model parameters alpha and beta is presented. The numerical results showed that in the creeping flow limit (Re=0), the development length for the velocity exhibits a non-monotonic behaviour. The development length increases with Wi. For low values of Wi, the highest value of the development length is obtained for alpha=beta=0.5; for high values of Wi, the highest value of the development length is obtained for alpha=beta=1.5. This work also considers the influence of the elasticity number. (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 |