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Newtonian and non-Newtonian flow in a channel obstructed by an antisymmetric array of cylinders
(1991)
Consideration is given to the flow of Newtonian and non-Newtonian elastic liquids in a channel obstructed by an antisymmetric array of cylinders. Experiments are carried out on Newtonian maltose-syrup/water mixtures and a ...
The integrated singular basis function method for the stick‐slip and the die‐swell problems
(1991)
We further develop a new singular finite element method, the integrated singular basis function method (ISBFM), for the solution of Newtonian flow problems with stress singularities. The ISBFM is based on the direct ...
Compressible viscous flow in slits with slip at the wall
(1994)
We study the time-dependent compressible flow of a Newtonian fluid in slits using an arbitrary nonlinear slip law relating the shear stress to the velocity at the wall. This slip law exhibits a maximum and a minimum and ...
A singular function boundary integral method for the laplace equation
(1996)
The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic ...
The simultaneous use of 4×4 and 2×2 bilinear stress elements for viscoelastic flows
(1993)
Mixed finite elements for viscoelastic flows based on a 4×4 sub-linear interpolation for the extra stress components satisfy the Babuska-Brezzi condition and are highly stable. They have been proved to be quite satisfactory ...
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. ...
A singular finite element for Stokes flow: The stick–slip problem
(1989)
Abrupt changes in boundary conditions in viscous flow problems give rise to stress singularities. Ordinary finite element methods account effectively for the global solution but perform poorly near the singularity. In this ...
Cessation of viscoplastic Poiseuille flow in a square duct with wall slip
(2015)
We solve numerically the cessation of the pressure-driven Poiseuille flow of a Bingham plastic under the assumption that slip occurs along the wall following a generalized Navier-slip law involving a non-zero slip yield ...
Cessation flows of bingham plastics with slip at the wall
(National Technical University of Athens, 2013)
We use finite elements in space and a fully implicit scheme in time in order to solve the cessation of axisymmetric Poiseuille flow of a Bingham plastic under the assumption that slip occurs along the wall. The Papanastasiou ...