After current zero in a high-voltage SF₆ circuit breaker, the recovery voltage heats the remaining electrons, producing departures from thermal equilibrium that may modify the electrical conductivity of the medium and thus the interruption capability of the apparatus. In this study we present a two-temperature hydrodynamic model coupled with a kinetic model, applied to the extinction of a blown SF₆ arc in a two-dimensional simplified geometry. The free decay and the post-arc phase with the recovery voltage have been studied. The kinetic part of the modelling allows us to calculate the evolution of the electron number density. A simplified turbulence model has been added to study its influence on the post-arc phase. The main results of this study reinforce the conclusions obtained taking into account only the chemical non-equilibrium: the departures from equilibrium tend to decrease the interruption capability predicted by the model. This effect is due to the weak energy exchange by elastic collisions between the electrons and the heavy particles, leading to an electron temperature higher than the gas temperature which favours the ionization of the medium submitted to a recovery voltage.