A very new possibility of generation of large-scale flow patterns in t
urbulent astrophysical bodies is discussed. When the global rotation a
nd the fluid stratification are simultaneously involved, the Reynolds
stress tensor contains contributions linear in the mean velocity. Then
for sufficiently rapid rotation the system becomes unstable to large-
scale motions. The mean velocity equation is very similar to the mean
magnetic field equation of dynamo theory. A plane ''dynamo-wave'' solu
tion of the Reynolds equation is found in a further analogy to the hyd
romagnetic dynamo. The numerical solution of a 1D eigenvalue problem l
eads to a rather low critical ''dynamo number'' (congruent-to 6) imply
ing that the new mean-flow excitation can indeed act in rotating and s
tratified astrophysical disks (and spheres?).