P. Goldstein et Ls. Garciacolin, TRANSPORT PROCESSES IN A VISCOELASTIC BINARY MIXTURE, Journal of non-equilibrium thermodynamics, 19(2), 1994, pp. 170-183
Generalized thermohydrodynamics is used to provide for a basis to comp
ute transport coefficients of a binary isothermal solution consisting
of a viscoelastic fluid in a viscous solvent. A description is made of
the states of this system using, besides the conventional conserved d
ensities, a set of non-conserved variables provided by the stress tens
or and the mass flux of one of the components. Within a linearized sch
eme, the solution to the evolution equations obeyed by the latter ones
provides a set of constitutive equations which are in general both wa
ve vector and frequency dependent. When the constitutive equations are
substituted into the conservation equations, a complete set is obtain
ed from which all relevant quantities may be computed. These involve w
ave vector and frequency dependent expressions for the transport coeff
icients as well as the dynamic structure factor which may be obtained
by light or neutron scattering. These results are analyzed and compare
d with other ones existing in the literature.