Motivated by turbulent drag reduction by minute concentrations of polymers
we study the effects of minor viscosity contrasts on the stability of hydro
dynamic flows. The key player is a localized region where fluctuations are
produced by interactions with the mean flow (the "critical layer"). We show
that a layer of weakly space-dependent viscosity placed near the critical
layer has a very large stabilizing effect on hydrodynamic fluctuations, ret
arding significantly the onset of turbulence. The effect is not due to a mo
dified dissipation (as is assumed in theories of drag reduction) but is due
to reduced energy intake from the mean flow to the fluctuations. Similar p
hysics may act in turbulent drag reduction.