The generalized Enskog-like kinetic equation (GEKE) derived recently f
or inhomogeneous fluids [L. A. Pozhar and K. E. Gubbins, J. Chem. Phys
. 94, 1367 (1991)] has been solved using the thirteen-moments approxim
ation method to obtain linearized Navier-Stokes equations and the asso
ciated zero-frequency transport coefficients. Simplified transport coe
fficient expressions have been obtained for several special cases (sim
plified geometries, homogeneous fluid). For these cases it is shown th
at the main contributions to the transport coefficients can be related
to those for dense homogeneous fluids calculated at ''smoothed'' numb
er densities and pair correlation functions. The smoothing procedure h
as been derived rigorously and shown to be an intrinsic feature of the
GEKE approach. These results have been established for an arbitrary d
ense inhomogeneous fluid with intermolecular interactions represented
by a sum of hard-core repulsive and soft attractive potentials in an a
rbitrary external potential field and/or near structured solid surface
s of arbitrary geometries.