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Perturbation solution of the compressible annular Poiseuille flow of a viscous fluid
(2010)
The isothermal annular Poiseuille flow of a weakly compressible Newtonian liquid with constant shear and bulk viscosities is considered. A linear equation of state is assumed and a perturbation analysis in terms of the ...
Combined effects of compressibility and slip in flows of a Herschel-Bulkley fluid
(2013)
In this work, the combined effects of compressibility and slip in Poiseuille flows of Herschel-Bulkley fluids are investigated. The density is assumed to obey a linear equation of state, and wall slip is assumed to follow ...
Time-dependent compressible extrudate-swell problem with slip at the wall
(1994)
We solve the time-dependent compressible Newtonian extrudate-swell problem with slip at the wall, in an attempt to simulate the stick-slip extrusion instability. An arbitrary nonlinear slip model relating the shear stress ...
The time-independent, compressible Poiseuille and extrudate-swell flows of a Carreau fluid with slip at the wall
(2003)
We solve the time-dependent, compressible Poiseuille and extrudate-swell flows of a shear-thinning fluid that obeys the Carreau constitutive model, using finite elements in space and a fully-implicit scheme in time. Slip ...
New analytical solutions for weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
(2016)
Steady-state, isothermal, Poiseuille flows in straight channels and circular tubes of weakly compressible Newtonian fluids are considered. The major assumption is that both the mass density and the shear viscosity of the ...
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 ...
Laminar axisymmetric flow of a weakly compressible viscoelastic fluid
(2012)
The combined effects of weak compressibility and viscoelasticity in steady, isothermal, laminar axisymmetric Poiseuille flow are investigated. Viscoelasticity is taken into account by employing the Oldroyd-B constitutive ...
A study of various factors affecting Newtonian extrudate swell
(2012)
Finite-element simulations have been undertaken for the benchmark problem of extrudate swell present in extrusion. Both cases of planar and axisymmetric domains were considered under laminar, isothermal, steady-state ...
Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall
(2012)
We consider both the planar and axisymmetric steady, laminar Poiseuille flows of a weakly compressible Newtonian fluid assuming that slip occurs along the wall following Navier's slip equation and that the density obeys a ...
Perturbation solutions of Poiseuille flows of weakly compressible Newtonian liquids
(2009)
Both the planar and axisymmetric isothermal Poiseuille flows of weakly compressible Newtonian liquids with constant shear and bulk viscosities are solved up to the second-order. A linear equation of state is assumed and a ...