Viscoelastic Mobility Problem Using A Boundary Element Method

In this paper, the complete double layer boundary integral equation formulation for Stokes flows is extended to viscoelastic fluids to solve the mobility problem for a system of particles, where the non-linearity is handled by particular solutions of the Stokes inhomogeneous equation. Some techniques of the meshless method are employed and a point-wise solver is used to solve the viscoelastic constitutive equation. Hence volume meshing is avoided. The method is tested against the numerical solution for a sphere settling in the Odroyd-B fluid and some results on a prolate motion in shear flow of the Oldroyd-B fluid are reported and compared with some theoretical and experimental results.Singapore-MIT Alliance (SMA

Numerical-simulation of the Motion of a Sphere in a Boger Fluid

We use the finitely extensible non-linear elastic dumbbell theory developed by Chilcott and Rallison in order to analyze the flow of an inorganic Boger fluid around a sphere for two ratios of the cylinder to sphere radii. We use four different sets of material parameters for describing the same viscometric behavior of the fluid; we find important differences in the drag dependence upon the Weissenberg number. In particular, we examine the generation of recirculating vortices in the wake of the sphere. We also calculate the effect of the second normal stress difference upon the drag

[Monnaie : Tétradrachme, Argent, Incertain, Perside, Andragoras]

Appartient à l’ensemble documentaire : MonnGr

[Monnaie : Drachme, Argent, Sinope, Paphlagonie, Abrocomas]

Appartient à l’ensemble documentaire : MonnGr