  We develop a semi-analytical model for transport in structured catalytic
microreactors, where both reactant and product are compressible fluids. Making
use of the lubrication and Fick-Jacobs approximations, we reduce the
three-dimensional governing equations to an effective one-dimensional set of
equations. Our model captures the effect of compressibility, of corrugations in
the shape of the reactor, as well as of an inhomogeneous catalytic coating of
the reactor walls. We show that in the weakly compressible limit (e.g.,
liquid-phase reactors), the distribution of catalyst does not influence the
reactor yield, which we verify experimentally. Beyond this limit, we show that
introducing inhomogeneities in the catalytic coating and corrugations to the
reactor walls can improve the yield.
