Steady concentration waves and dispersion effects in a gas-particle two-phase medium with weak particle interaction

Abstract

The model of a concentrated two-phase medium constructed in [1–3] with allowance for the random small-scale motion of the dispersed phase due to particle interaction is used for analyzing steady particle concentration waves and dispersion effects in the case of negligibly small rates of generation and dissipation of the energy of small-scale motion. The propagation of one-dimensional disturbances in a direction parallel or antiparallel to the force of gravity is investigated. The structure of the steady wave front is found and the conditions of formation of internal concentration discontinuities at the front are determined. Dispersion effects are investigated for weakly nonlinear waves. The results can be used for analyzing wave phenomena in a gas-fluidized bed, a “falling” bed, pneumatic transport and “fast” fluidization systems, etc. The model proposed in [1–3] was developed in [4] in order to investigate steady waves and dispersion effects at high rates of generation and dissipation of the energy of small-scale motion of the dispersed phase and in [5] in order to analyze the propagation of particle concentration discontinuities for finite rates of generation and dissipation of the energy of random motion and linear stability in the presence of weak particle interaction.