Development Length of Fluids Modelled by the gPTT Constitutive Differential Equation

Autor(es)

Bertoco, Juliana ^[1] ; Leiva, Rosalia T. ^[2] ; Ferras, Luis L. ^[3] ; Afonso, Alexandre M. ^[4] ; Castelo, Antonio ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: APPLIED SCIENCES-BASEL; v. 11, n. 21 NOV 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs