Notation
159
Greek Symbols
β d
Drag force coefficient
M/L 3 t
γ n
Normal damping coefficient
M/t 2
γ t
Tangential damping coefficient
M/t 2
γ
Granular energy dissipation
M/Lt 2
˙
γ
Shear rate
1/t
δ n
Normal particle overlapping
L
δ t
Tangential particle overlapping
L
δ D
Span of bubble size distribution
–
δ λ
Span of bubble separation distribution
–
δ V
Span of bubble velocity distribution
–
E
Volume fraction of gas phase
–
ζ i
Interpolation coefficient
–
Granular energy
L 2 t 2
θ r
Angle of repose
–
λ
Pattern wavelength
L
Λ
Pattern intensity
–
μ eff
Effective frictional coefficient
–
μ g
Viscosity of gas phase
L/t
μ f
Frictional coefficient
–
ν
Poisson’s ratio
–
ρ g
Gas density
M/L 3
ρ s
Solids density
M/L 3
σ
Standard deviation
–
τ g
Deviator stress tensor of gas phase
M/Lt 2
φ
Volume fraction of solid phase
–
φ int
Initial volume fraction of solid phase
–
φ f
Frctional packing limit
–
ϕ
Phase angle
–
ω s
Rotational velocity of particle
π/t