The phase-space kinetic theory for polymeric liquid mixtures has been
further developed for molecular models without internal constraints. T
he theory provides expressions for the mass, momentum, and energy flux
es, each of which may in general be influenced by concentration, veloc
ity, and temperature gradients. To illustrate the use of these results
, the thermal conductivity for a dilute polymer solution is derived; t
he FENE dumbbell model is used to describe the mechanical behavior of
the polymer chains. The Hookean dumbbell results can be obtained by le
tting the ''finite extensibility parameter'' b tend to infinity.