Skip to main content
. 2026 Sep 3;14(9):781. doi: 10.3390/toxics14090781
C Mass concentration of aerosol, g/m3
Cpc Mass concentration of contaminant particles, g/m3
Cps Mass concentration of sorbent particles, g/m3
Cps min Model-based minimum sorbent concentration satisfying the sorption-completeness criterion, g/m3
Dpc Diameter of contaminant particle (Sauter mean diameter), m, µm
Dps Diameter of sorbent particle (Sauter mean diameter), m, µm
D min Particle diameter corresponding to minimum sedimentation rate, m, µm
E electr Electric field strength, V/m
g Gravitational acceleration (9.81), m/s2
H Characteristic dimension of the room (height), m
kB Boltzmann constant (1.38 × 10−23), J/K
kD Diffusion coefficient of a particle, m2/s
kD 0 Empirical parameter in diffusion coefficient (3 × 10−15), N·m/K
mp Mass of settled particles, g
mpc Mass of settled contaminant particles, g
q Electric charge of a particle, C
qpc Electric charge of contaminant particle, C
qps Electric charge of sorbent particle, C
q 0 Surface charge density coefficient (2, µC/m2)
r Distance between particle centers, m
R Gas constant, J/(mol·K)
t Time, s
tcapt Characteristic capture time (1/(K⋅Cps)), s
tdept Characteristic sedimentation time (H/us), s
T Absolute temperature, K
us Stokes settling velocity, m/s
U Relative velocity between PSs and PCs, m/s
β Wall deposition coefficient, 1/m
β0 Empirical parameter in wall deposition (0.025), 1/m
γ Overall sedimentation rate constant, 1/s
ε0 Vacuum permittivity (8.85 × 10−12), F/m
ε Relative dielectric permittivity of particle
η Overall capture efficiency
ηdif Capture efficiency due to Brownian diffusion
ηelec Capture efficiency due to electrostatic interaction
ηiner Capture efficiency due to inertial impaction
ηinter Capture efficiency due to interception
λ Mean free path of air molecules (≈68), nm
μ Dynamic viscosity of air, Pa·s
ρp Particle density, kg/m3
τfull Dimensionless criterion for complete sorption
Dimensionless numbers
Kn Knudsen number (λ/(Dp/2))
NE Electrostatic interaction parameter
Pe Péclet number (Equation (11))
Stk Stokes number (Equation (9))
Subscripts
c Contaminant (PC—contaminant particle)
s Sorbent (PS—sorbent particle)
p Particle (general)
0 Initial condition (t = 0)