We summarize the background and derivation of non-equilibrium evaporation models from kinetic theory, and demonstrate how they may be applied in the context of fluid mechanics and heat transfer problems. We find that the linearized Boltzmann-equation Moment Method is a good trade-off between complexity and accuracy for practical purposes, and that the use of non-equilibrium evaporation models in general has significant quantitative and qualitative impact on the results. (C) 2019 Elsevier Ltd. All rights reserved.