For the reaction-diffusion-concentration equations:
ODE: - U dC/dx = D d²C/dx² - KvC
BCs: C(0) = 0, C(L) = C₀
For the reaction-diffusion-concentration equations:
0 = C/C₀², x = x/L, Pe = UL/D
(a) Show that: 0(x) = exp(Pe/2)(1 - x)sin(Pe/2)² + Da sin(Pe/2)² + Da