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The PAL (Penalized Augmented Lagrangian) method for computing viscoplastic flows: A new fast converging scheme
(2018)
Computation of viscoplastic fluid flows has always been a challenging task. Viscoplastic models are intrinsically discontinuous at the yielded-unyielded interface, which leads to numerical difficulties, because of the ...
Annular pressure-driven flow of a Bingham plastic with pressure-dependent rheological parameters
(2019)
The pressure and temperature dependence of the yield stress is well established in oil drilling. In the present work, the steady, annular pressure-driven flow of a Bingham plastic is considered under the assumption that ...
Start-up plane Poiseuille flow of a Bingham fluid
(2019)
The start-up flow of a Bingham plastic in a channel is considered and Safronchik’s solution [1] for the initial evolution of the yield surface and the core velocity is revisited. Stricter time bounds for the validity of ...
Squeeze flow of semi-solid slurriesAAA
(2013)
A standard method used to determine material properties of semi-solid slurries is the squeeze flow experiment in which a fixed amount of material is squeezed under constant force or velocity. The relation between the force ...
Determining true material constants of semisolid slurries from rotational rheometer data
(2016)
In this work we revisit the issue of obtaining true material constants for semisolid slurries. Therefore, we consider the circular Couette flow of Herschel-Bulkley fluids. We first show how true constants can be obtained ...
Analysis of the singular function boundary integral method for a biharmonic problem with one boundary singularity
(2012)
In this article, we analyze the singular function boundary integral method (SFBIM) for a two-dimensional biharmonic problem with one boundary singularity, as a model for the Newtonian stick-slip flow problem. In the SFBIM, ...
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 ...
The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity
(2012)
Three-dimensional Laplace problems with a boundary straight-edge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...