Steady viscoelastic fluid flow between parallel plates under electro-osmotic forces: Phan-Thien-Tanner model

The electro-osmotic flow of a viscoelastic fluid between parallel plates is investigated analytically. The rheology of the fluid is described by the Phan-Thien-Tanner model. This model uses the Gordon-Schowalter convected derivative, which leads to a non-zero second normal stress difference in pure...

ver descrição completa

Detalhes bibliográficos
Autor principal: S. Dhinakaran (author)
Outros Autores: A. M. Afonso (author), M. A. Alves (author), F. T. Pinho (author)
Formato: article
Idioma:eng
Publicado em: 2010
Assuntos:
Texto completo:https://hdl.handle.net/10216/105602
País:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/105602
Descrição
Resumo:The electro-osmotic flow of a viscoelastic fluid between parallel plates is investigated analytically. The rheology of the fluid is described by the Phan-Thien-Tanner model. This model uses the Gordon-Schowalter convected derivative, which leads to a non-zero second normal stress difference in pure shear flow. A nonlinear Poisson-Boltzmann equation governing the electrical double-layer field and a body force generated by the applied electrical potential field are included in the analysis. Results are presented for the velocity and stress component profiles in the microchannel for different parametric values that characterize this flow. Equations for the critical shear rates and maximum electrical potential that can be applied to maintain a steady fully developed flow are derived and discussed.