AbstractThis review concerns the mathematical modeling of fire phenomena. The fire is treated as a head and mass source driving a fluid flow process. Combustion is not included. It deals in detail with the field modeling approach incorporating the effects of turbulence, strong buoyancy and variable density on the transport of momentum, heat and mass. For the sake of simplicity, other effects such as those due to the interactions of the above mechanisms with the wall, radiation, etc., which may be crucial to the dynamics of the fire phenomenon, are not dealt with in this review. These effects will be the subject of future work.