Electrostatic characteristics of a charged turbulent free jet

The properties of a charge density fluid which is generated in charged, turbulent, free jet flow are studied. The dynamic conservation equation of charge is solved analytically for the mean charge density field in a flow by assuming a simple velocity field, and numerically by using a more accurate velocity field. The characteristics of the charged jet can be described by a given dimensionless length ratio. Based on the electrostatic properties of a charged jet, three conductivity ranges are identified. In the high-conductivity range, the charged region is confined only to the near field. In the other extreme, there is a low-conductivity range in which the charge density field in the flow behaves analogously to other conservative scalar field properties in a turbulent jet with similar rates of decay and spread. The intermediate conductivity range falls between these two limits, with charge dispersion controlled by migration and diffusion.