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

S Dhinakaran; A M Afonso; M A Alves; F T Pinho

doi:10.1016/j.jcis.2010.01.025

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

J Colloid Interface Sci. 2010 Apr 15;344(2):513-20. doi: 10.1016/j.jcis.2010.01.025. Epub 2010 Jan 25.

Authors

S Dhinakaran¹, A M Afonso, M A Alves, F T Pinho

Affiliation

¹ CEFT, Departamento de Engenharia Química, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Robert Frias, 4200-465 Porto, Portugal. dhina@fe.up.pt

PMID: 20153862
DOI: 10.1016/j.jcis.2010.01.025

Abstract

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.