For theoretical investigation of electrical breakdown of a gas, we apply a one-dimensional, steady profile, constant velocity, three-component (electrons, ions and neutral particles) fluid model. Our fluid model consists of the equations of conservation of mass, momentum and energy, coupled with the Poison’s equation. The set of equations is referred to as the electron fluid dynamical equations (EFD). This investigation involves breakdown waves with a substantial current behind the wave front, and waves for which the electric field force on electrons is in the opposite direction of the wave propagation (anti-force waves – lightning return stroke). Therefore, the set of electron fluid dynamical equations need to be modified. For a low wave speed, we intend to find current values, and also the maximum current, for which solutions for our set of electron fluid dynamical equations become possible.
Hemmati, M.; Childs, W. P.; Shojaei, H.; and Morris, H.
"Low Speed Current Bearing Anti-force Waves,"
Journal of the Arkansas Academy of Science: Vol. 68
, Article 13.
Available at: https://scholarworks.uark.edu/jaas/vol68/iss1/13