158
Notation
(continued)
I r
Pattern regularity
–
I
Identity tensor
–
k n
Normal spring coefficient
M/t 2
k t
Tangential spring coefficient
M/t 2
m
Mass
M
M g
Interphase momentum exchange
M/L 2 t 2
n
Number of particles
–
N
Natural number, or even number
–
n b
Number of bubbles coexisting in the domain
–
P
Gas pressure
M/Lt 2
P s
Solid pressure
M/Lt 2
∂ Ps
∂ y
Solid pressure gradient vertical component
M/L 2 t 2
Re
Particle Reynolds number
–
t
Flow time
t
T
Pulse flow period
t
T s
Torque
ML 2 /t 2
t 0
Initial flow time
t
t c
Characteristic collision time
t
Ts
Solid stress tensor
M/Lt 2
U 0
Superficial gas velocity
L/t
Ug
Velocity of gas phase
L/t
U mf
Minimum fluidisation velocity
L/t
U n
Normal particle relative velocity
L/t
U s
Velocity of particle phase
L/t
U s,i
Velocity of particle i
L/t
U t
Tangential particle relative velocity
L/t
V c
Cell volume
L 3
V i
Volume of particle i
L 3
V b
Bubble rising velocity
L/t
V s,x
Solid lateral velocity
L/t
V s,y
Solid axial velocity
L/t
x
Lateral distance from origin
L
y
Axial distance from the distributor
L