Implementation and analysis of numerical solution of the population balance equation in CFD packages

Polydispersed flow modelling using population balances in an adaptive mesh finite element framework

“…The backward facing step contains a region of primary recirculation with large flow gradients, which can be exploited for studying various flow phenomena. The problem setup in this work differed from that of Silva et al (2008) in the dimensions of the BFS considered and in the breakage and aggregation rates used for modelling the water droplet population evolution. The BFS geometry considered in this paper is the same as the one used by Armaly et al (1983) in their classic benchmark experiments, except for the third dimension.…”

“…The Schiller-Naumann interphase drag coefficient has been shown to fit the standard drag curve well for Reynolds number values less than 800 with only a 5 percent deviation (Clift et al, 1978). Although these comparisons have been made for a single dispersed sphere, others have successfully extended the use of this drag coefficient for multiple dispersed particles in flow (Buwa and Ranade, 2002;Tabib et al, 2008;Silva et al, 2008).…”

“…3. ANSYS R CFX R (a commercial control volume finite element software): Silva et al (2008); Yeoh et al (2012).…”

Computational fluid dynamic modeling of fluidized-bed polymerization reactors

“…From their work, they found that parallel parent and daughter classes (PPDC) has poor convergence and QMOM, DQMOM had similar accuracy, but the DQMOM was the most efficient. Silva et al [108] implemented DQMOM in ANSYS CFX and OpenFOAM R . In this work the DQMOM with new aggregation and breakage kernels is used to study evolution of particle size distribution in gas-particle fluidized-bed reactors.…”

Population balances combined with Computational Fluid Dynamics: A modeling approach for dispersive mixing in a high pressure homogenizer

“…To limit the calculation times, the moments of the particle size distribution were linked to CFD simulations for droplet size predictions (Agterof et al, 2003). The Direct Quadrature Method of Moments (DQMOM) solution of the population balance equation was implemented in CFD codes without increasing the computational costs too much (Drumm et al, 2009;Silva et al, 2008). Current versions of Fluent ANSYS are now equipped with DQMOM and QMOM and up to eight moments of the particle size distribution can be calculated.…”