  Microchannel reactors are critical in biological plus energy-related
applications and require meticulous design of hundreds-to-thousands of fluid
flow channels. Such systems commonly comprise intricate space-filling
microstructures to control the fluid flow distribution for the reaction
process. Traditional flow channel design schemes are intuition-based or utilize
analytical rule-based optimization strategies that are oversimplified for
large-scale domains of arbitrary geometry. Here, a gradient-based optimization
method is proposed, where effective porous media and fluid velocity vector
design information is exploited and linked to explicit microchannel
parameterizations. Reaction-diffusion equations are then utilized to generate
space-filling Turing pattern microchannel flow structures from the porous media
field. With this computationally efficient and broadly applicable technique,
precise control of fluid flow distribution is demonstrated across large numbers
(on the order of hundreds) of microchannels.
