Abstract: A method of producing numerous small passages within a turbomachinery component is disclosed. The method comprises providing a turbomachinery component substrate having grooves, filling the grooves with a filler, condensing a vapor onto the surfaces of the substrate and the filler, and removing the filler. The method enables the formation of small passages located close to the component surface without the low yield rate associated with conventional methods of turbomachinery component production. Turbomachinery components having numerous small passages for cooling are also disclosed. Such passages may diminish fluid pressure losses of a cooling medium passing therethrough.