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Journal of Applied Mechanics and Technical Physics

2015 year, number 5

COMPUTATION OF WAVE INTERFERENCE AND RELAXATION OF PARTICLES AFTER PASSING OF A SHOCK WAVE

I. A. Bedarev, A. V. Fedorov
Khristianovich Institute of Theoretical and AppliedMechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Keywords: ударные волны, скоростная и тепловая релаксация частиц, численноемоделирование, shock waves, thermal and velocity relaxation of particles, numericalsimulations

Abstract

Interaction of a shock wave with a system of motionlessor relaxing particles is numerically simulated. Regimes of the gas flowaround these particles are described, and the influence of the initialparameters of the examined phenomenon on the flow pattern is analyzed.The drag coefficient of particles is calculated as a function of theMach number behind the shock wave at a fixed Reynolds number. Thedynamics of heat exchange for particles of different sizes(10$\mu$m--1mm) is determined, and the laws of thermal relaxationafter passing of a shock wave over the system of particles are found.The times of thermal and velocity relaxation of particles are estimatedas functions of the Reynolds number, and the predicted relaxation timeis compared with the corresponding empirical dependences.