Mathematical simulation of the vibration treatment of parts in a liquefied abrasive working medium

Abstract The hydromechanics of the fluidized bed processing medium is presented; conditions for its formation, stability, and limits existence are given. stochasticity a two-phase hydromechanical process in has been determined. boundary on surface spherical processed part vibrating machine reservoir considered. It was found that velocity granules during collision with part, addition to chaotic component, normal tangential component. established amplitude oscillations one components twice other component granule at ten times less than velocity. equations dynamics compiled taking into account nature flow around low Reynolds numbers. fields fluid near found, mechanism established. movement abrasive medium, under action presented. dependences metal removal vibration treatment rotating oscillating obtained. shown from depends rotation frequency exciter. noted presence makes it possible control processes work hardening micro-cutting.