In various industrial devices, multiphase flows play a crucial role and their accurate description in a mutliphysics context still remains poorly understood. Numerical simulations may help such understandings, but face numerous challenges. The present study focuses on the implementation and the validation of a simple and fast phase transition algorithm, coupled with the multi-fluid 4-equation model in the compressible solver AVBP. Saturation properties are obtained through a fitted Antoine equation, reducing the computational cost compared to the iterative procedure while maintaining excellent precision. The algorithm is validated on canonical one-dimensional configurations, and against a superheated liquid configuration for which both experimental and numerical data are available. The aforementioned framework is finally assessed on evaporating two-phase shear layers, including surface tension forces, reminiscent of airblast aeronautical fuel injectors. These shear layer simulations serve as an initial step towards understanding the impact of the evaporation process on liquid injectors’ dynamics, and constitute a step towards a unified framework for unsteady liquid fuel injection in reactive conditions.