The turbine engine (10) includes a turbine wheel (12) coupled to a compressor (14), a nozzle (16), and an annular combustor (18). The combustor (18) receives fuel from a source and air from the compressor (14) and combusts fuel and air in the combustion space to generate the gases of combustion. The turbine engine (10) also includes at least one air blast fuel injector (26) disposed in the annular outer wall (20) of the combustor (18) for injecting atomized fuel generally tangentially of the outer wall (20) outwardly of a flame zone (28) within the combustion space. The turbine engine (10) utilizes air film strips (36, 38, 40) and/or holes (20b, 22b, 24b) for cooling the combustor (18) with an air film on an inwardly facing surface of one or more of the walls (20, 22, 24) defining the combustor (18) while at the same time avoiding the filming of air onto the outer wall (20) radially outwardly of and generally axially coextensive with the flame zone (28).