  We investigate the linear theory of Kelvin-Helmholtz instability at the
interface between a partially ionized dusty outflow and the ambient material
analytically. We model the interaction as a multifluid system in a planar
geometry. The unstable modes are independent from the charge polarity of the
dust particles. Although our results show a stabilizing effect for charged dust
particles, the growth time scale of the growing modes gradually becomes
independent of the mass or charge of the dust particles when the magnetic field
strength increases. We show that growth time scale decreases with increasing
the magnetic field. Also, as the mass of the dust particles increases, the
growth time scale of the unstable mode increases.
