Kelvin-Helmholtz instability in flowing dusty and partially ionized plasmas

Abstract

We investigate the effect of different flow velocities on Kelvin-Helmholtz instability arising in partially ionized dusty plasmas. The basic equations governing the motion of partially ionized dusty plasma have been linearized to obtain the dispersion relation by applying the boundary conditions. Dispersion relation is solved numerically to discuss the growth rate of unstable mode. It is found that unstable mode doesn’t appear in the absence of relative motion but our results show a stabilizing effect for lower values of relative motion. It is also found that growth time scale of unstable modes increases as the relative motion increases and the flow in region without dust particles has a dominant effect on growth rate of unstable mode.