Turbine engine component wall having branched cooling passages

A component wall in a turbine engine comprising:

• a substrate having a first surface and a second surface opposed from the first surface, the substrate having a thickness defined between the first and second surfaces;
• and
• at least one cooling passage extending through the substrate for delivering cooling fluid from a chamber associated with the first surface to the second surface, the at least one cooling passage being divided at a first location downstream from an inlet of the at least one cooling passage, the inlet located at the first surface of the substrate, the at least one cooling passage comprising:
• an entrance portion for receiving the cooling fluid from the chamber, the entrance portion extending from the inlet to the first location;
• first and second branches that receive the cooling fluid from the entrance portion at the first location, the first and second branches each comprising:
• an intermediate portion that extends transversely from the entrance portion and receives cooling fluid from the entrance portion;
• and
• an exit portion that extends transversely from the respective intermediate portion, the exit portion receiving the cooling fluid from the respective intermediate portion and delivering the cooling fluid out of the respective branch through an outlet of the respective exit portion;
• wherein the cooling fluid is delivered out of the at least one cooling passage to provide cooling to the second surface of the substrate.