This paper covers the topic of the interaction process between a detonation wave and a cloud of inert particles. A computer code written by Fortran77 based on numerical method on Flux Corrected Transport algorithm by Boris et al[1] was developed to solve the Euler equations for inviscid flow .The chemical reaction is modeled with one-step Arrhenius chemistry, and the particle phase is modeled in Lagrangian frame of reference. Simulation results which achieved using the Tecplot to show the numerical result's from computer code as contours and graphs, illustrate that detonation wave could be suppressed by a cloud of inert particle, if the cloud parameters meet some critical conditions.

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