A Method for Calculating Ultrasonic Coagulation of PM2.5 Particles in Vortex and Turbulent Acoustic Flows

We propose a method for calculating the kinetics of ultrasonic coagulation of PM2.5during fine gas cleaning that provides an order of magnitude higher calculation performance.Increased productivity is achieved through the proposed and justified method of reducing theoriginal three-dimensional problem to a two-dimensional one. The proposed reduction method isbased on the fact that the time of complete rotation of vortex acoustic flows turns out to be muchshorter than the characteristic coagulation time during fine gas cleaning. This makes it possible topresent the fractional composition of aerosol particles as a function of two stream functionsinstead of three coordinates. Calculations carried out using the proposed method make it possibleto identify the possibility of increasing the efficiency of coagulation in three-dimensional flows dueto the following mechanisms: a local increase in concentration caused by the inertial transfer ofparticles to the periphery of three-dimensional vortices in the gas phase, increasing the frequencyof particle collisions due to three-dimensional turbulent disturbances in ultrasonic fields with ahigh amplitude of oscillatory velocity (more than 10 m/s), and increasing productivity andensuring the possibility of continuous implementation of the process in flow mode due to thetransfer of particles between the streamlines of the main vortices initiated by ultrasonic vibrationsas well as due to external flows perpendicular to the plane of the vortices in three-dimensionalspace. The developed set of programs for implementing calculations can be used in the design ofgas cleaning equipment.