“…It has often been assumed that short hole heat transfer correlations were adequate for this purpose, but these neglected the heat transfer on the hole approach surface which was first investigated and shown to be large by Sparrow and Ortiz (1982). Andrews, et al ( , 1985aAndrews, et al ( , 1986Andrews, et al ( , 1987 have shown that for full coverage discrete hole film cooling of combustion chamber walls, the overall heat transfer was dominated by the hole approach surface area. They provided a correlation for a range of hole geometries that included both the hole approach and internal short hole heat transfer and the present work extends the range of geometries investigated to include the influence of N and X/D at constant D and L/D.…”