  We have calculated the Bardeen-Stephen contribution to the vortex viscosity
for uniaxial anisotropic superconductors within the time-dependent
Ginzburg-Landau (TDGL) theory. We focus our attention on superconductors with a
mismatch of anisotropy of normal and superconducting characteristics. Exact
asymptotics for the Bardeen-Stephen contribution have been derived in two
limits: the cases of small and large electric field penetration depth (as
compared to the coherence length). Also we suggest a variational procedure
which allows us to calculate the vortex viscosity for superconductors with
arbitrary ratio of the coherence lenght to the electric field penetration
depth. The approximate analytical result is compared with numerical
calculations. Finally, using a generalized TDGL theory, we prove that the
viscosity anisotropy and, thus, the flux-flow conductivity anisotropy may
depend on temperature.
