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Hemodynamics in stenotic vessels of small diameter under steady state conditions: Effect of viscoelasticity and migration of red blood cells
(2015)
BACKGROUND: In microcirculation, the non-Newtonian behavior of blood and the complexity of the microvessel network are responsible for the high flow resistance and the large reduction of the blood pressure. Red blood cell ...
Solution of the planar Newtonian stick-slip problem with the singular function boundary integral method
(2005)
A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated ...
The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
(2002)
The singular function boundary integral method is applied for the solution of a Laplace equation problem over an L-shaped domain. The solution is approximated by the leading terms of the local asymptotic solution expansion, ...
On the stability of the shear flow of a viscoelastic fluid with slip along the fixed wall
(1996)
In this paper we solve the time-dependent shear flow of an Oldroyd-B fluid with slip along the fixed wall. We use a non-linear slip model relating the shear stress to the velocity at the wall and exhibiting a maximum and ...
The compressible Newtonian extrudate swell problem
(1995)
We solve the compressible Newtonian extrudate swell problem in order to investigate the effect of compressiblity on the shape of the extrudate. We employ a first‐order equation of state relating the density to the pressure ...
On the stability of the simple shear flow of a Johnson-Segalman fluid
(1998)
We solve the time-dependent simple shear flow of a Johnson-Segalman fluid with added Newtonian viscosity. We focus on the case where the steady-state shear stress/shear rate curve is not monotonic. We show that, in addition ...
Steady flow of a two-dimensional film under pressure
(2000)
We use finite elements and the full Newton iteration method to solve the steady, two-dimensional flow of a Newtonian planar film, issuing from a slit under a pressure difference between the two free surfaces, in the presence ...
Singular finite elements for the sudden‐expansion and the die‐swell problems
(1990)
The singular finite element method is used to solve the sudden‐expansion and the die‐swell problems in order to improve the accuracy of the solution in the vicinity of the singularity and to speed up the convergence. The ...
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 ...
A note on the unbounded creeping flow past a sphere for Newtonian fluids with pressure-dependent viscosity
(2015)
We investigate theoretically isothermal, incompressible, creeping Newtonian flows past a sphere, under the assumption that the shear viscosity is pressure-dependent, varying either linearly or exponentially with pressure. ...