A two-phase numerical investigation on trench-shaped injection holes for film cooling is being conducted using Reynolds-averaged Navier-Stokes simulations to assess their practical effectiveness. The study is focusing on the cooling performance of a novel type of film holes, known as straight transverse trenches attached to a flat plate, using a mixture of water mist and air in the coolant fluid. The examination considers film cooling with varying turbulent intensities (3%, 10%, and 20%) and mist concentrations (4%, 7%, and 10%). The analysis involves adiabatic laterally averaged film cooling effectiveness parameters, with two blowing ratios ranging from 0.6 to 1.0. The findings indicate that trenched cooling holes exhibit a more uniform coolant distribution laterally at all positions, resulting in enhanced cooling performance, particularly at high blowing ratios.