We present a self-consistent two-dimensional fluid model of the temporal and spatial development of the one atmosphere uniform glow discharge plasma (OAUGDP (R)). Continuity equations for electrically charged species N-2(+), N-4(+) O-2(+), O-2(-), and electrons are solved coupled to the Poisson equation, Subject to appropriate boundary conditions. An algorithm proposed by Patankar was use (S. V. Patankar, "Numerical Heat Transfer and Fluid Flow", Taylor Francis, New York 1980). The transport parameters and rate coefficients for electrons at atmospheric pressure are obtained by solving the homongeneous Boltzmann equation for electrons under the hydrodynamic assumption. Operational variables are obtained as a function of time: electric Current, Surface charge accumulated on the dielectric surface; the memory voltage and the gas voltage controlling the discharge. The spatial distribution of the electric field, the populations of charged species, the resulting ponderomotive forces, and the gas speed are also obtained.