Calculation of dust lifting by a transient shock wave

A mathematical model of lifting of dust particles under the action of transient shock waves is proposed, which takes into account a simultaneous action of the Saffman force and aerodynamic interference on the particle. This model provides an adequate description of the initial stage of lifting of single particles of a dusty layer under the action of shock waves of weak and moderate strength. Satisfactory agreement of numerical and experimental data is reached. It is shown that particle lifting is caused by the action of the Saffman force in the case of weak shock waves (the shock-wave Mach number is less than 1.5) and medium-sized particles (the particle diameter is less than 100 $\mu$m) and aerodynamic interference between the particle and the surface in the case of shock waves of moderate strength (the shock-wave Mach number is 2.1–3.3) and large particles (the particle diameter is 200–250 $\mu$m).