Turbulent cooling of the gas and dielectric recovery following a spark discharge

A theoretical model is proposed for performing self-consistent calculations of the entire evolution of a spark discharge and the subsequent cooling of the postdischarge channel and dielectric recovery for a specified aperiodic discharge current pulse, taking into account the generation and dissipation of turbulent motion of the gas. The results are compared with the well-known experiments of E. P. Bel’kov, where it was discovered that the dielectric recovery rate depends on the characteristics of the discharge current pulse, which ultimately determine the intensity of the turbulent motion arising in the cooling channel.