Film cooling methodologies in air-breathing gas turbines have been evolving for many decades. In the present work, a combined experimental and numerical parametric study is conducted to investigate the three-dimensional slot film cooling of an annular combustor. The experimental investigation is conducted to understand the fluid flow and heat transfer phenomenon of the film cooling and to validate the numer-ical study under laboratory conditions (low temperature and pressure). Transient infrared thermography is used to estimate both adiabatic film-cooling effectiveness (eta ad) and heat transfer coefficient (h) simul-taneously using a semi-infinite approximation method. The blowing ratios considered in the study are in the range of 0.5 to 5. The experimental results showed that film-cooling effectiveness (eta ad) enhanced with an increase in the blowing ratio from 0.5 to 2 and deteriorated beyond BR = 2 due to the adverse effects of turbulence. A parametric study is conducted numerically to understand the effect of flow and geometrical parameters under actual engine conditions (high temperature and pressure). The parameters considered are slot Reynolds number (Res), slot jet diameter (d) , slot jet pitch (p) , lip taper angle (alpha), lip length (L ) , and slot jet injection angle (beta). For the considered parameters, numerical results showed that the slot jet diameter ( d) = 2 mm , dimensionless slot jet pitch (p/d) = 2, slot jet injection angle (beta) = 20 o and dimensionless lip length (L/d) = 5.9 outperformed the other configurations due to the low turbu-lence and entrainment. Finally, an Artificial Neural Network-based mathematical model is developed that correlates the eta lat as a function of flow and geometrical parameters.(c) 2023 Elsevier Ltd. All rights reserved.