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Perturbation solution of Poiseuille flow of a weakly compressible Oldroyd-B fluid
(2011)
The isothermal, planar Poiseuille flow of a weakly compressible Oldroyd-B fluid is considered under the assumption that the density of the fluid obeys a linear equation of state. A perturbation analysis for all the primary ...
Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity
(2011)
The pressure-dependence of the viscosity becomes important in flows where high pressures are encountered. Applications include many polymer processing applications, microfluidics, fluid film lubrication, as well as simulations ...
Start-up and cessation Newtonian Poiseuille and Couette flows with dynamic wall slip
(2015)
Analytical solutions are derived for the start-up and cessation Newtonian Poiseuille and Couette flows with wall slip obeying a dynamic slip model. This slip equation allows for a relaxation time in the development of wall ...
Newtonian Poiseuille flows with slip and non-zero slip yield stress
(2013)
The Newtonian Poiseuille flow is considered for various geometries, under the assumption that wall slip occurs above a critical value of the wall shear stress known as, the slip yield stress. In the axisymmetric and planar ...
Slip yield stress effects in start-up Newtonian Poiseuille flows
(2013)
Analytical solutions are derived for various start-up Newtonian Poiseuille flows assuming that slip at the wall occurs when the wall shear stress exceeds a critical value, known as the slip yield stress. Two distinct regimes ...
A timestepper approach for the systematic bifurcation and stability analysis of polymer extrusion dynamics
(2008)
We discuss how matrix-free/timestepper algorithms can efficiently be used with dynamic non-Newtonian fluid mechanics simulators in performing systematic stability/bifurcation analysis. The timestepper approach to bifurcation ...
Viscoplastic flow development in tubes and channels with wall slip
(2016)
The development of Bingham plastic flow in tubes and channels is investigated numerically using the Papanastasiou regularization and finite element simulations. It is assumed that slip occurs along the wall following ...
Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method
(2010)
The augmented Lagrangian/Uzawa method has been used to study benchmark one-dimensional cessation flow problems of a Bingham fluid, such as the plane Couette flow, and the plane, round, and annular Poiseuille flows. The ...
Newtonian Poiseuille flows with pressure-dependent wall slip
(2013)
The effect of pressure-dependent slip at the wall in steady, isothermal, incompressible Poiseuille flows of a Newtonian liquid is investigated. Exponential dependence of the slip coefficient on the pressure is assumed and ...
Asymptotic solutions of weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
(2015)
We consider both the axisymmetric and planar steady-state Poiseuille flows of weakly compressible Newtonian fluids, under the assumption that both the density and the shear viscosity vary linearly with pressure. The primary ...