Stably stratified steady flow past a bluff body in a channel is consid
ered for cases in which the stratification is not sufficiently strong
to give solutions containing wave motions. The physical mechanisms by
which stratification influences the flow are revealed. In particular,
the drag reduction under weak stratification, observed in experiments,
is explained. This is achieved by constructing an asymptotic laminar
solution for high Reynolds number (Re) and large channel width, which
explicitly gives the mechanisms, and using comparisons with numerical
results for medium Re and experiments for turbulent flows to argue tha
t these mechanisms are expected to be common in all cases. The results
demonstrate the possibility, subject to certain restrictions, of usin
g steady high-Re theory as a tool for studying qualitative features of
real flows.