  Cooling flows, cluster mergers and motions of galaxies through the cluster
gas with supersonic and sonic velocities must lead to large scale motions of
the intracluster medium (ICM). A high-resolution numerical simulation of X-ray
cluster formation by Norman and Bryan predicts cluster-wide turbulence with
v_turb ~ 300-600 ~km/s and eddy scales l_outer ~ 100-500 kpc, the larger
numbers being characteristic of turbulence near the virial radius, while the
smaller numbers pertain to the core. The simulation also predicts the existence
of ordered bulk flows in the core with v ~ 400 km/s on scales of several
hundred kpc. In this paper we consider the observability of such fluid motions
via the distortions it induces in the CMB via the kinematic SZ effect, as well
as via Doppler broadening and shifting of metal lines in the X-ray spectrum. We
estimate |\Delta T/T|_kinematic < few X 10^{-6} -- at or below current limits
of detectability. However, we find that an energy resolution of a few eV is
sufficient to detect several Doppler shifted components in the 6.7 keV Fe line
in the core of the cluster.
