The effect of bypass air momentum on the combustion efficiency of a boron-carbide fueled solid-fuel ramjet motor has been investigated theoretically. A 3-D model of the flow in the aft-burner has been developed and solved numerically. The theoretical results indicated that combustion efficiency can be increased by employing bypass air with low dump momentum, in agreement with experimental results. High bypass air dump momentum was shown to enhance extinguishment of particle combustion through increased collisions with the motor walls.