УДК 535.329.541.64
G.V. Pyshnograi; H. N. A. Al Joda; I.G. Pyshnograi
EQUATIONS OF STATE FOR POLYMERIC FLUIDS AND COMPONENTS OF DYNAMIC MODULUS
Department of Mathematics, Altai State Technical University,
Barnaul, Russia
Abstract: Constitutive equations for melts and concentrated solutions of linear polymers are derived as consequences of mesocopic approach for dynamics of macromolecule. The model is investigated for viscometric flows. It was shown that the model gives a good description of linear viscoelastisity and non-linear effects of simple shear polymer flows.
Keywords: Constitutive equations, polymers, mesocopic approach.
Introduction : Describing viscoelastic behavior of the polymer system, one should distinguish the case of highly concentrated (c > 10%) solutions and melts of long polymers – strongly entangled systems ( ), where is the length (in any units) of a macromolecule and is the length of a part of macromolecule between the adjacent entanglements, and the case of melts of shorter polymers and half-dilute polymer solutions (c ~ 1-10%) – weakly entangled systems ( ) [1]. The convenient characteristic of a system of entangled linear macromolecules (solutions and melts of polymers) appears to be ,which for strongly entangled systems, is inversely proportional to number of entanglements for one macromolecule . This quantity can be easily with estimated the value of real component of dynamic modulus on the typical plateau, according to the formula for weakly and strongly entangled systems, correspondingly