Local and nonlocal rheological equations for fibre reinforced power law melts

摘要

A generalisation of the traditional class of constitutive equations for fibre sus-pensions in slow flows is proposed. The drag force on an individual fibre strand is described by a simple power law function of its velocity relative to the bulk motion. Anisotropic power law constitutive equations are thus obtained by integration over the fibre length and proper averaging over the orientation distribution. Moreover, nonlocal action due to a non-uniform distribution of fibre centres in the flow domain is allowed for. The latter is exemplified by axisymmetric squeeze flow of a continuous strand-mat suspension.