Nonadiabatic heterogeneous flame propagation and extinction in SHS pro
cess is analyzed based on a premixed mode of propagation for the bulk
flame supprted by the nonpremixed reaction of dispersed non-metal part
icles in the liquid metal. The formulation derived is applicable for a
wide range of mixture ratios, allowing for volumetric heat loss, fini
te reaction rate at the particle surface, and temperature-sensitive Ar
rhenius mass diffusion in the liquid. Not only the range of flammabili
ty but also the burning velocity is obtained as functions of mixture r
atio, degree of dilution, and non-metal particle size. It is further s
hown that the theoretical results agree well with available experiment
al data, indicating that the present formulation captures the essentia
l features of the nonadiabatic heterogeneous SHS process.