title: Analytical and numerical study of the electro-osmotic annular flow of viscoelastic fluids.
abstract: In this work we present semi-analytical solutions for the electro-osmotic annular flow of viscoelastic fluids modeled by the Linear and Exponential PTT models. The viscoelastic fluid flows in the axial direction between two concentric cylinders under the combined influences of electrokinetic and pressure forcings. The analysis invokes the Debye-Hückel approximation and includes the limit case of pure electro-osmotic flow. The solution is valid for both no slip and slip velocity at the walls and the chosen slip boundary condition is the linear Navier slip velocity model. The combined effects of fluid rheology, electro-osmotic and pressure gradient forcings on the fluid velocity distribution are also discussed.
authors.affiliation: Institute for Polymers and Composites/I3N, University of Minho, Campus de Azurém, 4800-058 Guimarães, Portugal. Electronic address: luis.ferras@dep.uminho.pt.
authors.forename: L L
authors.initials: LL
authors.lastname: Ferrás
authors.affiliation: Departamento de Engenharia Química, CEFT, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal. Electronic address: aafonso@fe.up.pt.
authors.forename: A M
authors.initials: AM
authors.lastname: Afonso
authors.affiliation: Departamento de Engenharia Química, CEFT, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal. Electronic address: mmmalves@fe.up.pt.
authors.forename: M A
authors.initials: MA
authors.lastname: Alves
authors.affiliation: Institute for Polymers and Composites/I3N, University of Minho, Campus de Azurém, 4800-058 Guimarães, Portugal. Electronic address: mnobrega@dep.uminho.pt.
authors.forename: J M
authors.initials: JM
authors.lastname: Nóbrega
authors.affiliation: Centro de Estudos de Fenómenos de Transporte, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal. Electronic address: fpinho@fe.up.pt.
authors.forename: F T
authors.initials: FT
authors.lastname: Pinho
keywords: Analytical solution; Annular flow; Slip boundary conditions; sPTT model