Abstract: The current status and development of numerical modeling of two-phase flows of gasparticles or liquidparticles with and without chemical reactions are reviewed. Different approaches for handling the particle phase, e. g. the single-fluid model, the particle trajectory model, and the two-fluid model, as well as their application and assessment are discussed. A number of modifications for the above mentioned models and new models, such as continuum-trajectory model and continuum model accounting for particle history effect were presented. The authors points of views on the subject were also given. Future trends in the area was discussed.