We present the first results from the Shellflow program, an all-sky Tully-F
isher (TF) peculiar-velocity survey of 276 Sb-Sc galaxies with redshifts be
tween 4500 and 7000 km s(-1). Shellflow was designed to minimize systematic
errors between observing runs and between telescopes, thereby removing the
possibility of a spurious bulk flow caused by data inhomogeneity. A fit to
the data yields a bulk-flow amplitude of V-bulk = 70(-70)(+100) km s(-1) (
1 sigma error) with respect to the cosmic microwave background, i.e., consi
stent with being at rest. At the 95% confidence level, the flow amplitude i
s <300 km s(-1). Our results are insensitive to which Galactic extinction m
aps we use, and to the parameterization of the TF relation. The larger bulk
motion found in analyses of the Mark III peculiar-velocity catalog are thu
s likely to be due to nonuniformities between the subsamples making up Mark
III. The absence of bulk flow is consistent with the study of Giovanelli a
nd collaborators and flow-field predictions from the observed distribution
of IRAS galaxies.