Micro- and macroscale simulation behind thermal front in an active fine-dyspersated mixture

The micro- and macroscale model for chemically active disperse mixture of gas and fine solid particles behind the thermal wave is presented. The thermal wave, propagating in a cylindrical porous tube, is numerically simulated. The numerically stable technique is developed in order to provide the self-consistent scale capturing for numerical simulation of the thermal wave. The scale simulation is based on the equations for an isolated particle in a finite volume (so called mesoscale) as well as on Navier–Stokes equations that include the averaged heat and mass fluxes calculated using the microequations. For the model kinetics scheme the fields of temperature, mass fractions, and particle radius are presented for the various values of similarity parameters of the problem.