A theory is developed for inviscid supersonic flow past blunt bodies of revolution containing small spherical cloud particles of uniform size. It is assumed that there are no collisions between the particles. The only interactions between the gas and the particles are drag force and heat exchange. The problem is solved by using the direct method of a given body and the technique of series truncation. The convergence of the series is improved by recasting it in a modified Euler transformation. It is found that the relaxation zone is much larger than the shock layer thickness, hence the flow is nonequilibrium in the entire subsonic region. The solutions for the case without the particles agree with the known blunt‐body solutions, and those with the particles resemble the known dusty air solutions behind a normal shock wave.