A modification of the Darcy-Weisbach friction factor applicable to nanoscale liquid transport
processes is proposed. Non-equilibrium molecular dynamics simulations allow us to access …

We characterise the stress singularity of the Oldroyd-B, Phan-Thien–Tanner (PTT), and
Giesekus viscoelastic models in steady planar stick-slip flows. For both PTT and Giesekus …

A numerical technique is applied to solve a biharmonic equation problem of a steady-state
seepage flow of water through a thin layer of soil, under an impermeable dam. Due to the …

Stick-slip flow is a challenging viscoelastic benchmark problem due to the presence of a
separation or transition point at the die exit where a sudden change in flow boundary …

A singular function boundary integral method for Laplacian problems with boundary
singularities is analyzed. In this method, the solution is approximated by the truncated …

The stress singularity for Phan-Thien–Tanner (PTT) and Giesekus viscoelastic fluids is
determined for extrudate swell (commonly termed die swell). In the presence of a Newtonian …

The singular function boundary integral method (SFBIM) is applied for the numerical solution
of a 2-D Laplace model problem of a perfectly elastic wedge beam under plane stress …

We use the singular function boundary integral method (SFBIM) to solve two model fracture
problems on the plane. In the SFBIM, the solution is approximated by the leading terms of …

The steady planar and cylindrical stick-slip flows for a viscoelastic fluid are computed using
the Phan-Thien and Tanner (PTT) constitutive model. The mixed finite element method is …

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 …