Turbine component having surface cooling channels and method of forming same

A turbine engine comprising:

• a combustor section configured to generate a hot gas;
• and
• a component disposed along a path configured to be traversed by the hot gas, said component comprising:
• a substrate comprising a substrate first surface, said substrate first surface comprising a recess defined therein;
• an insert coupled to said substrate proximate said substrate first surface, wherein said insert is shaped complementary to a shape of said recess;
• a channel defined by a first channel wall formed in said substrate and a second channel wall formed by at least one coating disposed on said substrate first surface;
• an inlet opening defined in flow communication with said channel, said inlet opening defined by a first inlet wall formed in said substrate and a second inlet wall defined by said insert;
• and
• a transition region disposed between said channel and said inlet opening such that said transition region is in flow communication with said channel and is at least partially defined by a first transition wall formed in said substrate and a second transition wall formed by said insert.

A method of forming a component for a turbine engine, said method comprising:

• forming a first channel wall of a channel in a substrate;
• forming a first inlet wall of an inlet opening in the substrate;
• forming a recess in the substrate first surface;
• coupling an insert to the substrate proximate a first surface of the substrate, wherein the insert defines a second inlet wall of the inlet opening, and wherein the insert is shaped complementary to a shape of the recess;
• disposing at least one coating on the substrate first surface, wherein the at least one coating forms a second channel wall of the channel, the inlet opening defined in flow communication with the channel;
• and
• forming a transition region between the channel and the inlet opening such that the transition region is in flow communication with the channel and is at least partially defined by a first transition wall formed in the substrate and a second transition wall formed by the insert.