a

[m]

cyclone inlet height

A_in

[m²]

area of the cyclone inlet surface

A_out

[m²]

area of the cyclone outlet surface

b

[m]

cyclone inlet width

C_P

[-]

pressure loss coefficient

C_μ

[-]

k-ε based model constant

D

[m]

cyclone body diameter

D_b

[m]

cyclone dust bin diameter

D_d

[m]

cyclone drop tube diameter

D_x

[m]

cyclone vortex finder diameter

f_r

[-]

rotation function as a multiplier of eddy viscosity turbulent production term

H

[m]

total cyclone height

H_b

[m]

cyclone dust bin height

H_c

[m]

cyclone cone height

H_d

[m]

cyclone drop tube height

k

[m²∙s⁻²]

turbulent kinetic energy

L_v

[m]

cyclone vortex finder length

$\overline{p}$

[Pa]

time-averaged static pressure

$\overline{\overline{p}}$

[Pa]

filtered static pressure

$\Delta p$

[Pa]

pressure drop

P_in

[Pa]

cyclone inlet pressure

$p_k$

[Pa∙s⁻¹]

turbulent production term in eddy viscosity models

P_out

[Pa]

cyclone outlet pressure

${\overline{\overline{s}}}_{ij}^{sgs}$

[s⁻¹]

large-scale strain rate tensor

t

[s]

time

u

[m∙s⁻¹]

fluid velocity

u′

[m∙s⁻¹]

fluctuating fluid velocity

$\overline{u}$

[m∙s⁻¹]

mean (time-averaged) fluid velocity

$\overline{\overline{u}}$

[m∙s⁻¹]

filtered fluid velocity

U_in

[m∙s⁻¹]

cyclone inlet normal speed