c_{n} Coefficients in size distribution function series expansion

D_{p} Diffusivity, m^{2}/s

d_{p} Particle diameter, m

E_{mni} Coefficients in moment equations for FSE

F Function in drag model

f Number density function

f Dimensionless number density function

F_{mni} Coefficients in moment equations for FSE

G Growth rate, kg/m^{3}-s

h Net rate of introduction of new particles in PBE i Moment order

K Constant in growth rate law

M Number of terms in truncated series expansion approximating particle size distribution and number of moments in simulation N_{o} Initial number of particles in Gaussian-like distribution

P Legendre polynomials

Re Reynolds number

Re_{p} Particle Reynolds number

S Source term in PBE

T Dimensionless time

t Time, s

v_{k} k-phase velocity, m/s

v_{p} Particulate phase velocity, m/s

x External coordinate vector in PBE

Greek Symbols

в Aggregation kernel

в_{0} Aggregation constant

e_{k}j Drag coefficient between k phase and j phase e_{k} Volume fraction of k phase

Pi ith moment of number density function

p_{k} k-phase viscosity, kg/m. s

П Second internal coordinate in Smoluchowski equation

? Internal coordinate in PBE

? Dimensionless internal coordinate in PBE

?_{o} Initial average particle size in Gaussian-like distribution, m

Г Gamma function

p_{k} k-phase density, kg/m^{3}

и Model parameter Gaussian-like distribution

T_{k} k-phase stress tensor, N/m^{2}

T_{p} Particle relaxation time, s

Ф_{п} Trial function associated with Legendre polynomials