Discharge Coefficient Measurements for Flow Through Compound‐Angle Conical Holes with Cross‐Flow

Abstract

Diffusion‐shaped film holes with compound angles are currently being investigated for high temperature gas turbine airfoil film cooling. An accurate prediction of the coolant blowing rate through these film holes is essential in determining the film effectiveness. Therefore, the discharge coefficients associated with these film holes for a range of hole pressure ratios is essential in designing airfoil cooling circuits. Most of the available discharge coefficient data in open literature has been for cylindrical holes. The main objective of this experimental investigation was to measure the discharge coefficients for subsonic as well as supersonic pressure ratios through a single conical‐diffusion hole. The conical hole has an exit‐to‐inlet area ratio of 4, a nominal flow length‐to‐inlet diameter ratio of 4, and an angle with respect to the exit plane (inclination angle) of 0°, 30°, 45°, and 60°. Measurements were performed with and without a cross‐flow. For the cases with a cross‐flow, discharge coefficients were measured for each of the hole geometries and 5 angles between the projected conical hole axis and the cross‐flow direction of 0°, 45°, 90°, 135°, and 180°. Results are compared with available data in open literature for cylindrical film holes as well as limited data for conical film holes.