Note on the thermodynamic consistency of the integral pom–pom model

The numerical prediction of planar viscoelastic contraction flows using the pom–pom model and higher-order finite volume schemes

“…However, convergence was achieved using a modified version of the XPP model in which the stretch dynamics were adjusted to be consistent with other viscoelastic models. This was in agreement with a modification proposed by Van Meerveld [26] based on non-equilibrium thermodynamics (see below for discussion). Quantitative comparisons with experimental data on velocity and stress profiles were presented.…”

“…Through the current body of work, we have become of aware of further modifications to the pom-pom model (see [26,38]). The mathematical nature of these adjustments is to alter the multiplicative factor on the exponential term of Eq.…”

Numerical simulations of the planar contraction flow for a polyethylene melt using the XPP model

“…This introduces a singularity for Λ i = 0 and guarantees that Λ i > 0. The same result was found by Van Meerveld [25] who analyzed the integral Pom-Pom model using the thermodynamical framework GENERIC. He pointed out that it may be of importance for contraction/expansion flows, in which Wapperom and Keunings [30] detected a negative affine motion.…”

“…Van Meerveld [25] looked at the integral Pom-Pom model from a GENERIC point of view. He proposed the small change in the evolution equation for the backbone stretch.…”

Modified constraint release in molecular based reptation models for fast flows

“…The third term corresponds to the creation or destruction of the constraints at the tube ends and the fourth to a linear rescaling of the contour label s, respectively [5,22,23]. The justification, based on non-equilibrium thermodynamic grounds, to formulate the dynamics in f (u, s, r, t) without the IAA through the irreversible dynamics, if λ is a dynamic variable, is given in [24,25]. The last contribution describes the constraint release, CR, associated to the tube dynamics.…”