The mixing of evaporating micron-size particles with a cross stream of gas

An analysis is presented of the dynamics and heat and mass transfer of micron-size particles with a known initial mass distribution, injected into a supersonic gas flow (such as that found in a gasdynamic laser). As an example, numerical results are presented on the acceleration of micron-size particles of carbonic acid by hydrogen. The obtained results make it possible to formulate a variational problem concerning the determination of the set of conditions (i.e., initial mass distribution of dispersed particles, gas parameters in the subsonic section of the nozzle, the angle at which the particles are injected into the gas flow, etc.) assuring the extremum of a certain functional of the physical parameters entailed in the mixing of high-speed two-phase flows.