Browsing by Subject "Newtonian fluid"
Now showing items 1-13 of 13
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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 ...
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Article
Comparison of spectral and finite element methods applied to the study of the core-annular flow in an undulating tube
(2002)A Galerkin/finite element and a pseudo-spectral method, in conjunction with the primitive (velocity-pressure) and streamfunction-vorticity formulations, are tested for solving the two-phase flow in a tube, which has a ...
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Article
Converged solutions of the Newtonian extrudate-swell problem
(1999)Both the axisymmetric and the planar Newtonian extrudate-swell problems are solved using the standard and the singular finite element methods. In the latter method, special elements that incorporate the radial form of the ...
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Article
Development lengths in Newtonian Poiseuille flows with wall slip
(2016)The effect of wall slip on the development of planar and axisymmetric Newtonian Poiseuille flows is studied by means of finite element simulations. The Navier slip law is employed. i.e., it is assumed that the slip velocity ...
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Article
Newtonian flow in a triangular duct with slip at the wall
(2013)We consider the Newtonian Poiseuille flow in a tube whose cross-section is an equilateral triangle. It is assumed that boundary slip occurs only above a critical value of the wall shear stress, namely the slip yield stress. ...
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Article
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 ...
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Article
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 ...
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On the combined effects of slip, compressibility, and inertia on the Newtonian extrudate-swell flow problem
(2013)We solve both the planar and axisymmetric extrudate-swell flows of a compressible Newtonian liquid with Navier slip at the wall, using the finite-element method in space and a fully-implicit finite-difference scheme in ...
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Article
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 ...
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Article
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 ...
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Article
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 ...
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Article
The steady annular extrusion of a Newtonian liquid under gravity and surface tension
(2000)The steady extrusion of a Newtonian liquid through an annular die and its development outside and away from the die are studied under the influence of gravitational and surface tension forces. The finite element method ...
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Article
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 ...