25], based on this concept was developed, inducing perfectly axisymetric creeping flow, showing high distributive and dispersive capabilities without generating excessive pressure drops as shown by Bouquey et al.

Moreover, in order to simulate real industrial processes, the viscosity of the fluids at ambient temperature (experimental temperature) must be similar to that of molten polymers and high enough to ensure creeping flow conditions in the whole measure range involved in the experiments.

Among the topics are a boundary element solution of thermal

creeping flow in a nanometer single mixer, evaluating interface cracks, rotational symmetry applied to boundary element computation for nuclear fusion plasma, fundamental solutions for inverse obstacle acoustic scattering, the volume integral equation method for analyzing scattered waves in an elastic half space, and analyzing layered soil problems with an alternative multi-region boundary element method technique and a new infinite boundary element formulation.

This approach has been used to study the creeping flow of power law fluids (Bruschke and Advani, 1993; Chen and Wung, 1989; Spelt et al.

Similarly Table 2 shows a comparison with the approximate analytical expression of Ferreira and Chhabra (2004) in the creeping flow regime.

The equations of conservation of mass, momentum and energy for steady,

creeping flow (very low Reynolds Number, inertialess) must be solved.

It is now well known that the so-called Stokes paradox does not exist for the

creeping flow of shear-thinning (n < 1) fluids past an unconfined circular cylinder (Tanner, 1993; Marusic-Paloka, 2001) and reliable results are now available for the

creeping flow of power law fluids (Tanner, 1993; Whitney and Rodin, 2001; Ferreira and Chhabra, 2004).

However, no attempt so far has been made to extend this method for quasi-hyperbolic constitutive equations in the limit of creeping flow.

This paper presents an implementation of the above techniques, commonly used in high Re flows, to the limits of Re[right arrow]0 for creeping flows of viscoelastic nature, such as those encountered in molten polymer flow, for a single component fluid, as the initial step to modeling the more complex multicomponent polymer flow.

To further reduce the difficulty of the problem,

creeping flow conditions (i.

The

creeping flow assumption, at the higher flow rate, may no longer be valid and results in the poor agreement between simulation and experiments.

Benis's analysis was verified experimentally for

creeping flow.