Notation
Dimensions are given in terms of mass (M), length (L), time (t) and dimensionless
(–). The symbols used infrequently are not listed, but are defined at which they first
appear in the text. Boldface symbols are vectors, and both boldface symbols with
a overline and symbols with two overlines are tensors.
Roman Symbols
A
Offset of an oscillating flow
–
A be
Cross section of bed
L 3
A b
Bubble area
L 2
B
Amplitude of an oscillating flow
L 2 /t
C D
Particle drag force coefficient
–
D b
Equivalent bubble diameter
L
d s
Diameter of particle
L
e
Restitution coefficient
–
E
Young’s modulus
M/Lt 2
H
Bed height
L
f
Frequency of an oscillating flow
1/t
f b
Probability density
–
F c
Inter-particle contact force
ML/t 2
F f
Inter-phase contact force
ML/t 2
g
Gravitational acceleration
L/t 2
g 0,ss
Radial distribution function
–
G
Shear modulus
M/Lt 2
I
Moment of inertia
ML 2
I in
Inertial number
–
(continued)
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Switzerland AG 2021
K. Wu, Dynamically Structured Flow in Pulsed Fluidised Beds, Springer Theses,
https://doi.org/10.1007/978-3-030-68752-6
157