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Polymer Sciences | ISSN: 2471-9935
October 02-03, 2017 Chicago, USA
3
rd
International Conference on
Polymer Science and Engineering
Double-decked model of the flow of polymeric incompressible fluid past a flat wedge
Roman Semenko
and
Alexander Blokhin
Novosibirsk State University, Russia
A
s known, polymeric fluids consists of very large molecules (macromolecules) which causes remarkable properties of these
fluids. Polymer melts has a non-linear viscoelastic behavior so a number of rheological model was developed to describe its
motion. One of the most popular type includes mesostructural (or statistical) models. They are based on molecular structure of
the substance and considers the processes of intermolecular interactions. This approach allows the one to study the connection
be-tween macroscopical and microscopical scales. Usually mesostructural models uses reptation theory which consider long linear
entangled macromolecules. Often macromolecule is modeled as set of beads connected by springs which represents an elastic forces.
We will use mesostructural model which is the modified Vinogradov-Pokrovskii model.. It considers friction between beads of a
macromolecule as a tensor which is connected to the anisotropy of a shear flow. This anisotropy tensor is determined by size and
shape of macromolecules. If the flow of polymermelts has non-zero velocity gradients then macro-molecules deforms along the flow
which makes a media anisotropic. Our goal is to study the behavior of polymeric fluid for classical type of flows which is the flow
past theflat infinite wedge. It is well-known that stationary solutions for supersonic flow of fluid past the wedge has surface of strong
discontinuity of a shock wave type. We are looking for the similar type of the flow for polymeric fluids using modified Vinogradov
Pokrovskii model. We showed classical scheme of stationary flow past the wedge has to be modified for polymeric fluid by adding
extra surfaces of strong discontinuities (we have called this type of flow as adouble-decked model).
r.semenko@g.nsu.ruPolym Sci, 3:3
DOI: 10.4172/2471-9935-C1-003