Couette–Poiseuille flow of the Giesekus model between parallel plates

Abstract

An approximate solution for the Couette–Poiseuille flow of the Giesekus model between parallel plates has been recently proposed by Raisi et al. (2008) in Rheol Acta 47:75–80. Raisi et al. analyse the plane flow in x direction of a viscoplastic fluid between parallel plates; the upper one moves at constant velocity and the lower one is at rest. A pressure gradient can also be applied. The fluid obeys the Giesekus constitutive equation. Using dimensionless variables, and with the same notations of Raisi et al., the tangent stress τ ∗ yx and the normal stress τ ∗ yy are, respectively, τ ∗ yx = τ ∗ 0 + Gy∗ (1)