The theoretical equations of particle laden compressible flow by taking into account of heat radiation and convection were derived. It is found that, the heat exchange between dispersed phase and carried fluid phase is proportional to square of Mach number. In extreme high temperature environment, the convective heat transfer between two phases is one way, which means that the isothermal particle transfers the heat into the fluid, but the fluid can not cool down the radiation-heated particle via convection. In addition, the effect of shrinking core on the particle dynamics was investigated. The shrinking core effect modifies the Stokes number of particle, therefore the time evolution of unsteady velocity of particle from rest to terminal state in a uniform flow was altered.

%U https://xbna.pku.edu.cn/EN/10.13209/j.0479-8023.2022.039