OP-II-3

MATHEMATICAL MODELING OF THE ALUMINA POWDERSYNTHESIS BY PLASMA CHEMICAL PROCESSESArkhipov V.A. 1 , Zhukov A.S. 21 Research Institute of Applied Mathematics and Mechanicsof Tomsk State University, 634050, Tomsk, Russia2 Tomsk State University, 634050, Tomsk, Russialeva@niipmm.tsu.ruPP-II-5Jet plasma processes (spray pyrolysis) are the universal high productive methodsto obtain ceramic powders of various content and shape sizes [1]. The actualproblem being considered in the report that provides the efficiency of plasmachemical processes as methods to obtain alumina powders is to determine controlparameters and their effect on the content, properties, structure and shape sizes ofthe powders being obtained.During spray pyrolysis the solution Al(NO 3 ) 3 ⋅9H 2 O is atomized into reactor, wherethe aerosol droplets undergo evaporation and solute condensation within the droplet,drying, thermolysis of the precipitate particle at higher temperature to form amicroporous particle, and, finally, sintering of the microporous particle to form adense particle.To obtain the spraying parameters, we studied the flow rate characteristics andthe geometry of the spray cone of the centrifugal injector used in the swirl reactorconsidered. To determine the aerodynamic and thermodynamic characteristics of thespray cone, we have to consider the flow field with two phases and take into accountmomentum, mass, and heat transfer between the phases. The problem of calculatingthe local characteristics of the flow in the swirl-reactor spray cone was considered ina similar manner [2].The equations of motion for the gas phase were written in the Euler form underthe assumption of insignificant influence of local discontinuities in the flow, caused bythe presence of droplets in the gas phase. The equations of motion in the Lagrangianform, the equation for the change in the droplet radius due to vaporization, and theheat-balance equation were written for droplets of finite number of fractions.Interaction between the phases was taken into account by considering droplets asinternal sources for gas phase. In this case, the right side of equations that describethe gas phase behavior was supplemented by additional terms caused by interactionof droplets with the gas medium.343