An optimal control methodology is applied to find the heat and oxygen flux
profiles, distributed along the length of a plug flow reactor, for the conv
ersion of methanol to formaldehyde. The calculations use models for the gas
-phase and catalytic [MoO3-Fe-2(MoO4)(3)] reactions. The reactor designs sh
ow that a distributed heat flux improves formaldehyde yields, but an oxygen
flux does not affect the results. Formaldehyde mass fractions of over 90%
have been achieved in the simulations. The solutions obtained, although not
proven to be globally optimal, are of very high quality. A fully nonlinear
robustness analysis of the formaldehyde production with respect to the cat
alyst model variables is performed by the use of a high dimensional model r
epresentation. This representation is similar to the ANOVA decomposition us
ed in statistics but does not require an increase in the number of data poi
nts as the dimensionality of the variable space increases. The most importa
nt variables are the catalyst surface area and the rate of formaldehyde des
orption. The yield improvement from employing optimized fluxes is found to
be robust to the catalytic model parameter values.