Two‐dimensional, hydrodynamic turbulence, and the transport of enstrophy by this turbulence from large spatial scales to small spatial scales, is considered. This fluid is taken as slightly ionized, with a small number of ions in equilibrium with it. These ions produce a fluctuating magnetic field that induces a fluctuating electric field, either or both of which alter the distribution function of the electrons present. Considering a cold‐electron plasma, it is found that turbulence can heat the electrons, increase their Langmuir frequency and decrease the Landau damping.