The equations governing the flow field that is developed when a moderately strong shock wave propagates in an oxygen–carbon suspension were developed and solved numerically using the flux‐corrected transport technique. A comparison is made between two suspensions. In one suspension the carbon particles are assumed to be inert and in the other, the combustion of the carbon particles is accounted for. In addition, the dependence of the post‐shock flow field on the initial loading ratio of the carbon particles was also investigated.