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    STUDIA CHEMIA - Issue no. 2 / 2005  
         
  Article:   IMPLEMENTATION OF BIVARIATE POPULATION BALANCE EQUATIONS IN CFD CODES FOR MODELLING NANOPARTICLE FORMATION IN TURBULENT FLAMES.

Authors:  ALESSANDRO ZUCCA, DANIELE L. MARCHISIO, ANTONELLO A. BARRESI.
 
       
         
  Abstract:  In recent years the problem of studying particle formation and dynamics in turbulent flames has become more and more important, for both environmental and technological reasons. Information on size and morphology of the particulate matter is often required, since these characteristics largely influence the effects of particles on human health and global climate (in the case of soot), and the features of the produced material (in the case of combustion synthesis). The solution of the population balance equation has to be integrated with Computational Fluid Dynamics (CFD), which needs to be employed for the simulation of temperature, composition and velocity fields of the flame. In this work, the recently proposed Direct Quadrature Method of Moments (DQMOM), which allows the solution of the bivariate population balance equation with low additional computational effort, is applied to the study of soot formation in turbulent non-premixed flames. The model takes into account nucleation, molecular growth, oxidation and aggregation of particles; simplified kinetic rates are employed, while velocity and scalar fields are computed by simulations based on the solution of the Reynolds Averaged Navier Stokes (RANS) equations. The bivariate formulation of the DQMOM (in terms of particle volume and surface area) is implemented and compared with the monovariate formulation (in terms of particle volume). Simulation results show that the DQMOM is a suitable tool for the solution of the considered problem both in the monovariate and in the bivariate case, and evidence the importance of a proper treatment of particle fractal dimension to obtain accurate predictions of the morphological properties of soot aggregates.  
         
     
         
         
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