The governing equations for the stagnation-flame reactor model are identical to those used in the Opposed-Flow Flame Simulator, described in Axisymmetric and Planar Diffusion . Only the boundary conditions at one boundary are changed. Specifically, there is only one inlet while the other boundary is a wall. The inlet is therefore assumed to be a pre-mixed blend of fuel and oxidizer.

The reactor model fixes the burner inlet at x = 0 and is the same as that given in Equation 14–9 . The boundary conditions at the wall (x = L) are replaced by Equation 14–10 .

(14–10)

This reactor model does not solve for the surface chemistry at the wall, but instead assumes a no-slip convective velocity condition and assumes that the species convective and diffusive fluxes balance. In the absence of thermal diffusion, the wall boundary condition for the species equation implies that the species concentration gradient goes to zero.