A complete three-dimensional thermal finite element analysis has been performed for the Beta version of an axial vane rotary engine. This work investigated the effects of the heat flow for two different geometric designs (kinematic inversions): rotor turning with vane turning and cams turning with a non-rotating vane. The output from a modified zero dimensional combustion code was used to establish the thermal boundary conditions in the finite element model. An iterative procedure between the thermal finite element model and the zero dimensional code was used to obtain the component wall temperature profile. Updating the combustion model wall temperature resulted in different thermal characteristics than those from the constant wall temperature solution. The thermal analysis provided a quantitative comparison of the different geometric versions of the engine, showing where improvements must be made.