Effect of the solvent viscosity on pure electro-osmotic flow of viscoelastic fluids

Author(s)

Ferras, L. L. ^{[1, 2]} ; Cavadas, A. S. ^[3] ; Resende, P. R. ^[4] ; Afonso, A. M. ^[5] ; Pinho, F. T. ^[5]

Affiliation

^[1] Univ Minho Guimaraes, Dept Matemat, Ctr Matemat UM, P-4800058 Guimaraes - Portugal

^[2] Univ Minho, Inst Polymers & Composites I3N, Campus Azurem Guimaraes, P-4800058 Guimaraes - Portugal

^[3] Univ Porto, Fac Engn, Dept Engn Mecan, Rua Dr Roberto Frias S-N, P-4200465 Porto - Portugal

^[4] Univ Estadual Paulista Unesp, Inst Ciencia & Tecnol, Sorocaba - Brazil

^[5] Univ Porto, Fac Engn, Dept Engn Mecan, Ctr Estudos Fenomenos Transporte, Rua Dr Roberto Frias S-N, P-4200465 Porto - Portugal

• Document type: Journal article
• Source: Journal of Non-Newtonian Fluid Mechanics; v. 259, p. 125-129, SEP 2018.
• Web of Science Citations: 2

Abstract

In this work the fully-developed steady channel flow of the homogeneous polymer solution studied in {[}4] is revisited and a completely new analytical solution is proposed which is devoid of the limitations of the previous solution (beta(3) epsilon De(kappa)(2) <= 2/27), i.e., it is valid for the complete range of the rheological parameters. The viscoelastic fluid is described by the simplified Phan-Thien and Tanner model with linear stress coefficient function for the polymer contribution plus a Newtonian solvent. The solution is also valid if the polymer contribution is described by the finitely extensive non-linear elastic model with the Peterlin approximation for the average spring force (FENE-P model). (AU)

• FAPESP's process: 15/26842-3 - Numerical studies on micro-combustion
• Grantee: Pedro Miguel Rebelo Resende
• Support Opportunities: Scholarships abroad - Research