a

[m]

cyclone inlet height

Ain

[m2]

area of the cyclone inlet surface

Aout

[m2]

area of the cyclone outlet surface

b

[m]

cyclone inlet width

CP

[-]

pressure loss coefficient

Cμ

[-]

k-ε based model constant

D

[m]

cyclone body diameter

Db

[m]

cyclone dust bin diameter

Dd

[m]

cyclone drop tube diameter

Dx

[m]

cyclone vortex finder diameter

fr

[-]

rotation function as a multiplier of eddy viscosity turbulent production term

H

[m]

total cyclone height

Hb

[m]

cyclone dust bin height

Hc

[m]

cyclone cone height

Hd

[m]

cyclone drop tube height

k

[m2∙s2]

turbulent kinetic energy

Lv

[m]

cyclone vortex finder length

p ¯

[Pa]

time-averaged static pressure

p ¯ ¯

[Pa]

filtered static pressure

Δ p

[Pa]

pressure drop

Pin

[Pa]

cyclone inlet pressure

p k

[Pa∙s1]

turbulent production term in eddy viscosity models

Pout

[Pa]

cyclone outlet pressure

s ¯ ¯ i j s g s

[s1]

large-scale strain rate tensor

t

[s]

time

u

[m∙s1]

fluid velocity

u′

[m∙s1]

fluctuating fluid velocity

u ¯

[m∙s1]

mean (time-averaged) fluid velocity

u ¯ ¯

[m∙s1]

filtered fluid velocity

Uin

[m∙s1]

cyclone inlet normal speed