Cessation of Newtonian circular and plane Couette flows with wall slip and non-zero slip yield stress

A Lagrangian nodal integration method for free-surface fluid flows

“…The integration procedure described in the previous section is here applied to Eqs. (12)(13)(14) to derive the fully discretized form of the original problem. For the sake of clarity, the linear momentum and the continuity equations are treated separately.…”

“…In this second test, we consider the steady circular Couette ow of a Newtonian uid [14]. The inner cylinder is rotating at a xed angular velocity ω, while the outer one is kept xed.…”

A finite volume method for the simulation of elastoviscoplastic flows and its application to the lid-driven cavity case

“…Viscoplastic and viscoelastic fluids can exhibit complex slip behaviour, e.g. power-law slip [79,80], pressure dependence [81], or "slip yield stress" [82,83]. However, experiments with Carbopol in [78] (0.2% by weight) and [74] w , respectively, where u s is the slip velocity (the left-hand side of Eq.…”

Numerical Simulation of Slip Influence on Electric Conducting Viscoelastic Fluid Past an Isothermal Cylinder

“…A study was conducted by to analyze a boundary layer in Magnetohydrodynamic free convection while employing a nonsimilarity technique to which partial differential equations are reduced to ordinary differential equations. For some non-Newtonian fluids, such as polymer melts, it is nowadays consensually accepted the existence of slip velocity between the fluid and the solid wall (Kaoullas and Georgiou (2015), Chiu-On Ng (2016), Afonso et al (2013), Philippou et al (2017), Panaseti and Georgiou (2017)). Ferrás et al (2012Ferrás et al ( ,2013Ferrás et al ( , 2017 gives a detailed overview of the viscoelastic fluid slip flows.…”