This monograph presents theoretical and experimental studies of flows of
elastic liquids. Falling into this category are particularly the melts
and concentrated solutions of such flexible-chain polymers as
polyethylene, polyisobutylene and polypropylene, all of which are widely
used in polymer processing. These polydisperse polymers vary greatly,
from batch to batch, in their mechanical properties and 20% variation in
a property is believed to be good enough. l 7 All recent books - devoted
to the rheology of polymers do not answer the question of which
constitutive equations should be used for solving the fluid mechanic
problems of polymer processing in the usual case of an appreciable
nonlinear region of deformation where nonlinear effects of shear and
extensional elasticity are very important. Viscoelastic constitut- ive
equations cited commonly (see, e.g. Refs 5 and 6) do not describe
simultaneously even the simplest cases of deformations, viz. simple
shear and uniaxial extension. Moreover, some of them are internally
inconsist- ent and sometimes display highly unstable behaviour in simple
flows without any fundamental reasons. Even more respected molecular ap-
free from these defects.