Extend the penetration model for two species reacting instantaneously. Assume that the solution on either side of the reaction front in Fig. 11.8 can be expressed in terms of error function which obviously satisfies the differential equation. Fit the boundary conditions for each side. Now use the flux balance at the reaction plane and derive an expression for \(\lambda\) as a function of time. How does this model compare with the film model?

Fig. 11.8:

Transcribed Image Text:

CA Reaction plane, 20) 2(12) Distance, x