Symbol
C 2	inertial resistance factor, m−1
Cp,s	adsorbent specific heat capacity, J kg−1 k−1
dp	particle diameter, m
D	diameter, m
Di,m	effective diffusion coefficient for component i, m2 s−1
Di,j	diffusion coefficient of component i in component j, m2 s−1
E	total energy of gas, J m−3
E t1~t2	energy consumption between t1 and t2
h	enthalpy
hf	heat transfer coefficient between gas phase and solid, W m−2 K−1
∆H	the heat of adsorption, J mol−1
J	diffusion flux, kg m−2 s−1
keq	isotherm adsorption constant, Pa−1
k 0	adsorption constant at infinite dilution, Pa−1
kL	LDF adsorption time constant, s−1
k	thermal conductivity of gas
ks	adsorbent thermal conductivity, W m−1 K−1
L	length, m
M	molecular weight, mol kg−1
m	mass of captured, kg
n	heterogeneity parameter
p	Pressure, Pa
q	adsorption uptake, mol kg−1
q*	equilibrium adsorption uptake, mol kg−1
qm	maximum adsorption uptake, mol kg−1
R	universal gas constant, J mol−1 K−1
Sg	entropy generation, J K−1
Smomentum	momentum source term
T	temperature, K
t	time, s
x	mole fraction
y	mass fraction
Greek letters
α	permeability m2
ε	porosity
ρ	density, kg m−3
σ	entropy generation rate, W m3 K−1
μ	gas dynamic viscosity, Pa s
μa	chemical potential of adsorbed phase, J kg−1
μg	chemical potential of gas, J kg−1
δ	bed wall thickness, m
τ	stress tensor
χ	chemical potential of gas in diffusion process, J kg−1
Subscripts
a	adsorbed phase
ad	adsorption
b	bed
c	critical
d	diffusion
g	gas
i	components
in	inlet
p	particle
q	heat transfer