Mathematical model of fluid flow boiling in metal foam is established，in order to understand the heat and mass transfer mechanisms of flow boiling in metal foam.Mixture multiphase flow model is used in this paper.The permeability model and effective thermal conductivity model of metal foam is introduced in the present model，in order to reflect the different characteristic of metal foam from that of traditional porous media.The Darcy term and inertial term are introduced in the present model，in order to reflect the influence of metal foam on momentum transfer of the fluid.The energy conservation equation of solid phase is added to the present model by coupling the energy conservation equation of fluid phase，in order to reflect the thermal non equilibrium phenomena of heat transfer in metal foam.The calculation results of the present model agrees well with the experimental results in the open literature.