A turbomachinery component for a turbomachine includes feed manifold, a return manifold and a sidewall. The feed manifold is configured to receive a coolant stream therein and includes a plurality of feed plenums. The return manifold includes a plurality of return plenums. The sidewall defines a plurality of feed channels and a plurality of return channels therein. The sidewall further includes an inner surface and an outer surface opposite the inner surface. Each feed channel is in fluid communication with at least one of the feed plenums. Each return channel is in fluid communication with at least one of the return plenums. The sidewall further at least partially defines a plurality of microchannels. Each microchannel is in fluid communication with one of the feed channels and one of the return channels.