Abstract
Electrical discharges in air at atmospheric pressure like corona or dielectric barrier discharges are generally crossed by thin ionized filament called streamers (about 100μm diameter). The streamer develops and propagates inside the background gas with a high velocity (around 106 m/s) higher than the electron drift velocity (around 105 m/s). During the transport of charged particles within the filaments under the action of the electric field, the energetic charged particles undergo many collisions with the background gas (neutral particles). The interactions between charged and neutral particles generate in turn a gas dynamics characterized by gas temperature and density gradients. The variation of density, momentum transfer and energy of the different particles, present within the ionized filaments, are governed by the fluid conservation laws (or continuity equations) coupled, in the charged particles case, to the electric field or Poisson equation.
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