Casting core for a cast engine component

A casting core used in manufacture of a cast engine component for a turbine engine, the cast engine component having a first area, a second area, a fluid passage wall separating the first area and the second area, and a connecting fluid passage extending through the fluid passage wall and interconnecting the first area and the second area, the casting core comprising:

• a first core corresponding to at least one of the first area or the second area of the cast engine component;
• and
• a second core corresponding to the connecting fluid passage of the cast engine component, the second core further defining:
• a first leg of the connecting fluid passage extending in a first direction;
• a second leg of the connecting fluid passage extending in a second direction non-parallel to the first direction, the second leg intersecting the first leg at an angle (α), with a normalized angle of
• α
• 45
• ⁢
• °
• being greater than or equal to 0.5 and less than or equal to
• 3.67
• (
• 0.5
• <
• α
• 45
• ⁢
• °
• <
• 3.67
• )
• ;
• and
• a turn of the connecting fluid passage formed along an intersection between the first leg and the second leg and extending along at least a portion of the first leg or the second leg, the turn having a first bend with a first radius of curvature and a second bend with a second radius of curvature, with the smallest of the first and second radius of curvature defining a radius (R) of the turn, the radius (R) being greater than or equal to 0.005 inches and less than or equal to 0.05 inches (0.005<R<0.05);
• wherein after a casting process, the first core and the second core are each removed to define voids formed within the cast engine component;
• wherein at least a portion of the first core and an entirety of the second core is provided within a geometric boundary defined by a set of geometric characteristics of the first core and the second core within the geometric boundary, the set of geometric characteristics having:
• a first minimum equivalent diameter (D1eqmin) of the first core that is representative of a minimum hydraulic diameter of at least one of the first area or the second area within the geometric boundary, the first minimum equivalent diameter (D1eqmin) being greater than or equal to 0.015 inches and less than or equal to 1 inch (0.015<D1eqmin<1);
• and
• a second minimum equivalent diameter (D2eqmin) of the second core that is representative of a minimum hydraulic diameter of the connecting fluid passage within the geometric boundary, the second minimum equivalent diameter (D2eqmin) being greater than or equal to 0.005 inches and less than or equal to 0.2 inches (0.005<D2eqmin<0.2);
• wherein a first flexible geometry factor (FGF1) is equal to:
• (
• D
• ⁢
• 1
• eq
• ⁢
• min
• D
• ⁢
• 2
• eq
• ⁢
• min
• )
• ⁢
• (
• R
• D
• ⁢
• 2
• eq
• ⁢
• min
• )
• ;
• and
• wherein the first flexible geometry factor (FGF1) is greater than or equal to 0.024 and less than or equal to 1000 (0.024≤FGF1≤1000).