4.1 Population Balance Solution Variables

Solution variables that can be reported for the population balance model are:

• Bin-i fraction (discrete method only), where i is N-1 bins/moments.

• Number density of Bin-i fraction (discrete method only)

• Diffusion Coef. of Bin-i fraction/Moment-i

• Sources of Bin-i fraction/Moment-i

• Moment-i (SMM and QMOM only)

• Abscissa-i (QMOM method only)

• Weight-i (QMOM method only)

Bin-i fraction is the fraction ( $f_i$) of the volume fraction for the $i$th size bin when using the discrete method. Number density of Bin-i fraction is the number density ( $N_i$) in particles/m $^3$ for the $i$th size bin. Moment-i is the $i$th moment of the distribution when using the standard method of moments or the quadrature method of moments.

Though the diffusion coefficients of the population variables are available (e.g., Diffusion Coef. of Bin-i fraction/Moment-i), they are set to zero because the diffusion term is not present in the population balance equations.