J. Molenaar et al., ONSET OF THE SHARKSKIN PHENOMENON IN POLYMER EXTRUSION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4683-4691
A specific form of melt flow instabilities associated with surface def
ects for polymer extrudates, and commonly referred to as the ''sharksk
in effect'', is modeled. When this effect occurs, a more or less regul
ar pattern of ridges on the surface is observed resembling the skin of
a shark if bent. It is shown that the relaxation oscillation model of
Molenaar and Koopmans [J. Rheol. 38, 99 (1994)] developed to describe
''spurt'' defects - in this perturbation not only the surface but the
extrudate as a whole shows distortions - can be expanded to include a
description for the dynamics of surface defect appearance. By introdu
cing a nonlinear viscoelastic constitutive equation (Kaye-Bernstein-Ke
arsly-Zapas model) into the relaxation oscillation model a boundary la
yer can develop which shows oscillating behavior. Explicit criteria fo
r the onset of this behavior are derived. The relations between these
criteria and experimental parameters are pointed out. This allows for
an experimental verification of the supposition that this kind of solu
tion is the origin of the sharkskin effect. The current macroscopic ap
proach may form the basis for the reconciliation of the debate on the
origin of melt flow instabilities as either a ''slip at the wall'' or
a nonmonotone ''constitutive equation'' phenomenon. [S1063-651X(98)025
10-0].