The effects of vortical mean flows on the propagation of acoustic waves are numerous, from simple convection effects to instabilities in the acoustic phenomena, including absorption, reflection and refraction effects. Therefore, the role of vorticity in acoustic propagation besides noise generation has been a subject of controversial discussions since the foundation of aeroacoustics. In this work, a theoretical study with subsequent industrial applications has been performed, concerning the derivation of a family of scalar operators for aeroacoustics based in total enthalpy terms and including mean vorticity effects in the propagation.