With this long relaxation time, the Deborah number
is extremely large given the short time (a fraction of a second or less) used for applying the step strain to the embossing film.
They defined Deborah number
as the ratio of polymer fluid relaxation time to Rayleigh instability growth time to evaluate the beads formation parameters.
0], is the Deborah number
, A is a geometric ratio, and [phi] the dimensional stretching force.
This definition of the Deborah number
is for instance not correlated to the cross-over point of a polymer and therefore not related to the general linear viscoelastic properties of the polymer melts.
The ratio of the stress relaxation time to the process time is called the Deborah number
Calculating a Deborah number
for an indentation is trickier.
The Reynolds number Re is a measure of the ratio of inertial force to viscous force and the Deborah number
De is a measure of the ratio of elastic force to viscous force.
where De is the thermal Deborah number
(De = [[alpha]t.
The Deborah number
which is the ratio of the material relaxation time to the process or deformation time affects the stability of polymer processing operations.
For each value of the Deborah number
, a critical value of the Draw ratio exists beyond which it is no longer possible to obtain a solution of the differential system.
After completing the procedure of nondimensionalizations, three parameters exist in the coextrusion-spinning system: Deborah number
, inverse axial tension and the shear viscosity ratio of core to skin material.
0] [Omega]) and the Deborah number
(De = [Lambda][Omega]) can be varied independently.