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.